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August 2022
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Precalculus Q&A Archive of August 4, 2022

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August 4 of 2022

WANEFMACT 13.4.046_ Calculate the total area of the region described. Do not count area beneath the X-axis as negative. The region is bounded by the line y = 2x, the X-axis, and the lines x = 5 and x = 0. WANEFMACZ 13.4.048_ Calculate the total area of the region described. Do not count area…

DETAILS WANEFMAC7 13.4.008. Evaluate the integral: âˆ« (x+âˆšx) dx Need Help? Rendlt Katchk [-/1 Points] DETAILS WANEFMACZ 13.4.012. Evaluate the integral: âˆ« 6e^x dx Need Help? Raat Makhl

Suppose Î¸ is an angle in the first quadrant and cos Î¸ = 0.6. Find sin Î¸. Show how you found your answer.

Determine whether the vectors V and w are parallel v = (6, 2) , w= (8,24) Parallel Not parallel

cos 0 sin 0 1 -cos 0 A fellow student has been asked to verify the identity sin € What would you recommend as the first step? 2 csc 0,

Question Find an angle a that is coterminal with an angle, in radians, measuring exact answer involving T, if necessary: where 0 < & 21 . Give your answer as an Provide your answer below: FEEDBACK MORE INSTRUCTION SUBMIT

Given the triangle below; find sin(0). Enter the answer as a fraction: 17 15

Equation #2: y = 10x-2

How long does it take for deposit of 5700 to double at 6% compounded continuously?

need help with #9 art IV: Evaluate the following: Show all work for credit. Exact answers no decimals. (6 points each) Assume that the angle € Is In the first quadrant. tan(sin-= 13 cos(tan -1 0.2) sin(cos 10 tan(sin

Use the model A = Pe^rt or A = P(1 + r/n)^nt, where A is the future value of P dollars invested at interest rate r compounded continuously or n times per year for t years. Victor puts aside $4000 in an account with interest compounded continuously at 2.7%. How long will it take for him to earn…

simplify the following expression and express it as a function of sin(x) 2 sin? € 2 sinx + COs2 I COs2 x f(sin €)

Evaluate the integral using integration by parts where possible. Step: We are asked to use integration by parts to evaluate the indefinite integral âˆ«x^3 dx. The technique of integration by parts involves the following formula: âˆ«u dv = uv - âˆ«v du The technique is used when an integrand…

Find the time required for an investment of $5000 to grow to $9000 at an interest rate compounded quarterly. (Round your answer to two decimal places)

You begin saving for retirement by investing $500 per month in an annuity with a guaranteed interest rate of 6.96% per year. You increase the amount you invest at a continuous rate of investment and compounding. How much will you have accumulated in the annuity by the time you retire in 50…

Find the exact value of the following composite functions. (Without using a calculator) a. sin(sin 52) b. cos^(-1)(cos 5)

Sketch the standard position (SP) angle 0 ~245 " (6) What is the reference angle for SP angle 0 in (4) Sketch it below &s well; 3M

The diagram below shows two vectors, U and v. Consider vector U from above. Write this vector in both component form and polar form. Component form: <5,3> Polar form: <5.83,30.96> b. Consider vector U from above. Write this vector in both component form and polar form: Component form: Enter…

Please help me correct my incorrect answers! I am confused. (8/12 Points) DETAILS PREVIOUS ANSWERS UWAPRECALCI 6.P,004. MY NOTES 1) Let A = 12x - 1 solutions the equation Enter Zrunmj-jezaratcc Ienanst/cr doc_ DNE ) are 7 + 1 + 61. DVE ) ~value of _ cetichaneequetion 262) (Enter Your…

question 10. Nrite the matrix equation as system equations_ [; AJ[;] [: Complete the first cquation the system equations U=-1 Complete the second cquation of the system equations D-2

The graph below shows 2 transformations of y = 24. Write an equation for the graph above.

Give the following characteristics of the graph of a parabola below: Direction the parabola opens: Vertex: Focus: Focal Axis or Axis of Symmetry: Directrix: Focal Length: Focal Width:

When two musical tones of slightly different frequencies are played, the sound you hear will fluctuate in volume according to the difference in their frequencies. These are called beat frequencies. (Piano tuners use the beat frequency to adjust piano wire until it is at the same frequency as…

Here at the Precalculus Pizzeria_ every pentagonal pizza is guaranteed to come with free multipart function problem on the side! And here it is: inches inches inches 10 inches Suppose make a vertical cut through the above pizza T inches from the left-hand side: Write multipart function A(z)…

Fill in the missing terms to complete the square for the function f(c) = 2x? + 12c + 21. f(c) = 2(22 + 62 + 2) + 21 +

Solve the equation on the interval [0, 2π]: 2 sin^2(θ) - 3 sin(θ) + 1 = 0 Establish the identity: csc(θ) - sin(θ) = (cos(θ))(cot(θ)) Establish the identity: (tanθ-cotθ)/(tanθ+cotθ) = 1 - 2 cos^2 θ Find the exact (unrounded; no decimals) value of tan(75°).

A system of equations is given, together with the inverse of the coefficient matrix. Use the inverse of the coefficient matrix to solve the system of equations. 2Zx + Ty = 4 3x + 11y = 5 A^-1 = -3 The solution of the system of equations is (Type an ordered pair).

State a minimum of four (4) function transformations of your choosing that you are going to do to the toolkit function you chose. One transformation must be a shift left/right, one must be a reflection, one must be a shift up/down, and one must be a compression/stretch. You can choose the order…

how to solve? Consider the function f (c) = 2 cOS 34) + 2) Determine its amplitude; period, and midline: Enter the exact answers_

Hint: Determine which y-value the graph approaches, but does not touch: Numerical Response The graph of the function stretches horizontally by a factor of > and vertically by a factor of , translated units up and units to the left. If the transformed function is E(x), then, to the nearest tenth…

For each hyperbola below, find: (a) the center (C), (b) the foci, (c) the vertices, (d) the equations of the lines containing the transverse and conjugate axes, (e) the asymptotes. Sketch the hyperbola: 1. x^2/4 - y^2/25 = 1 2. (x-3)^2/9 - (y+2)^2/16 = 1

16. Find the horizontal and vertical intercepts, horizontal and vertical asymptotes Use the information t0 sketch graph of f (x)

(a) Find ( f0 &) (x ) if f(x)=3x-1 and g (* ) = "+3 (6) Evaluate ( f 0 g ) ( 2 ) 4.4) f0 &

Which is the equation of an ellipse with the center at the origin, a vertex at (-5,0) and a co-vertex at (0,4)? 5 4 1 25 16 El L 1 16 25 2 @4 9 !

Write an equation for transformed exponential function that passes through (1, 1) and 2,35)- f()

Consider the expression log (a) = 8. Find three unique combinations of values for and b that make the statement true_ The problem will be scored as either completely correct or incorrect with no partial credit given Option Option 2 Option 3

Find the domain and range of the function. Domain: Range:

Challenge Problem: The Difference Quotient of a Function Consider J(T) = âˆš(x + 1). Use âˆš for the square root. Compute: f(a) = âˆš(a + 1) b. Compute and simplify: f(a + h) = âˆš(5a + 5h + 1) Compute and simplify: f(a + h) - f(a) = âˆš(5a + 5h + 1) - âˆš(a + 1) d. Compute and simplify: 2âˆš(r…

Please help me with 59, 61, 63, 65. Compound Interest: For an initial deposit of $ES, find the total amount in the bank account after V years. Use the interest rates and compounding frequencies given: - 6% compounded annually - 3% compounded semiannually - 6% compounded monthly - 4.75%…

Question 6 Evaluate the function at the given value of x. Round to 4 decimal places if necessary: f(x) = f(4.2) = 311/1696 = 0.1834

Find the slope and inclination the tangent line to the graph of the ellipse: (x-Y) sin y = Vi shown the figure; at the point P-(x)

8. Suppose you determine that it takes the ball 20 seconds to complete one revolution. Determine the speed of the ball in radius lengths per second along its circular path. b. Define a function m that relates the ball's vertical distance above Jose's hand as & function of the number of…

19 ` 3 : 2x + 12 (b) dx (x + 2)(x2 4) (5 marks)

Question 12 EJpts 9 1 â‚¬4 0 Details Draw graph of () additional point on the graph; by first placing the horizontal and vertical asymptotes, then plotting Clear Draw: Qvideo DvVideo Question Help; Submit Question 449 D

Eslmnalc sor an army's strength and losses for a particular battle are given in the following table, where strength indicates the number of soldiers who were killed, wounded, captured, missing, or completed the battle: Soldiers Immediately Preceding the Battle: Strength: 20,827 Lost:…

The table shows relative frequencies for red-green color blindness in one doctor's practice. The column 'person male' represents the percentage of males in the practice, and the column 'person is color-blind' represents the percentage of color-blind individuals. Use this table to find the…

Explain the behavior of f(x) = ln(x-a) when x=a. Give values to x and a such that x-a=0.

What is (AB)C? 0.5 0.1 ; c-L-as 0.2 0.3_ A = S8-[-1

Felipe wants to know the length of the tunnel built through the mountain. To do so, he makes the measurements shown in the figure below. Use these measurements to find the length of the tunnel: 4y W TicI Canty Your intermediate computation should have four decimal places. Round your answer to…

Question If 0 < 2r and 4cosÎ¸ + 2 = 4, determine the values of Î¸. Please list your answers as exact answers in terms of Î¸. Provide your answer below: FEEDBACK MORE INSTRUCTION SUBMIT

Problem B: Write a rational function with a slant asymptote y = x + 4, a vertical asymptote at x = 5, and one of the zeroes at x = 0.

What is the value of the smallest zero of the polynomial f(x) = (x - 8)(x - 43)(x - 59)?

Use the figure to sketch graph of the specified vector

Use the Law of Sines to solve (if possible) the triangle If two solutions exist, find both_ Round vour answers to two decimal places_ (If not possible_ enter IMPOSSIBLE. ) 1130, b = 24 2.36

Ind en equation for the hyperbo a whose graph is below; The standard form of tha equalion is

Evaluate. 99920' - 37943' OA 61 937' ary 0 B. 136963' Oc 62843' 0 D. 62023'

Write an equation for a rational function with: Vertical asymptotes at x = 5 and x = -2 Intercepts at x = 4 and x = 2 Intercept at (0, 10)

Find the function y = ax^2 + bx + c whose graph contains the points (1, -5), (-3, 5), and (3, 17). What is the function? (Simplify your answer: )

Problem 5 Find all solutions to the equation sin? (20) + cos(20) + 1 = 0.

Working in radian measure, determine the exact value of cos.

Working in RDLAN measuring, determine the exact value of (sin).

Find the angle with measure between 0 radians and 2r radians that is coterminal to the angle with 5T measure radians_ radians

In a boat on the river below the dam, the angle of elevation to the top of the dam is 31Â°9'. If the dam is 1410 feet above the level of the river, how far is the boat from the base of the dam (to the nearest foot)? 1410 ft 3189' 2,333 ft 2,303 ft 2,313 ft 2,323 ft

A circular arc has measure 20 ft and is intercepted by a central angle of 2.7 radians: Find the radius r of the circle_ Do not round any intermediate computations, and round your answer to the nearest tenth: 6 2

Algebraically prove the following identities: 0 a) tan(0) = sin(0) / cos(0) + 1 / cos(0)

just problems 2,4 and 5 please! For each of the following problems, use the average rate of change formula to find the average rate of change of the given function over the given interval. SHOW ALL WORK. Write neatly and write your final simplified exact answer on the line provided. f(x) =…

The general form for the equation of conic is stated below: 4r? + y2 6y + 8r Determine the type of graph the equation represents_ Select an answer Rewrite the equation in standard form: If the conic an ellipse or hyperbola_ state the center: If this conic is parabola_ enter DNE State any and…

Find the foci; major & minor vertices, length of the major and minor axes; 400c, 841y, 336400. Maximum focal point. Minimum focal point. Maximum (major) vertex. Minimum (major) vertex. Maximum minor vertex. Minimum minor vertex. Length of the major axis. Length of the minor axis. Be sure to…

f(x) = Vr3+1 dx + E+ll @+ + C Ft+c = c * (r'+1)^2 - (6'+1)" + @tl @tl + â‚¬

Simplify sin 0 + cose cote sin 0 b cot 0 cos 0 csc 0 Please select the best answer from the choices provided 0 B

Lecture C01 03 â‚¬19 @0 Details 2 (22 + %) = Stamit Question Question G 01 pt 0 3 249 @ Details The graph below shows the rectangular sum of n Otoz rectangles: approximate the area under the line from right-hand right-hand sum? Select an answer not the Equation not the value 022 sum? Complete…

For the following trigonometric functions, determine the period and horizontal shift (Spts each): Y = sec(Tx) y = 4csc(31x + 2n) y = tan(Sx) y = cot(x)

Did I choose the correct answers? Table for f(z) is shown below: f(x) A table for g(z) is shown below: g(x) Based on the table, g(z) = 0 if f(z) = 1, if f(c + 1) = f(z) - 1, and if f(z) = 1. Table for h(r) is shown below: Based on the table, h(c) = 0 if h(r - 1) = h(r) + 1 and if h(e + 1) = 0…

Use a product-to-sum formula to rewrite cos(Sd) sin(3d) as a sum or difference. cos(Sd) sin(3d) = (1/2)(cos(Sd - 3d) - cos(Sd + 3d))

Graph one period of the function y = cot(x/3) on the grid below. Plot the center point and halfway points within one cycle. Within that cycle, also plot all asymptotes. Label your points.

Consider the following trig function k(t) = -49 cos(8t - 3) + [I0. What are the maximum and minimum values of this function? Find an angle in [0, Ï€) where the maximum occurs and an angle in [0, Ï€) where the minimum occurs.

EXACT solutions of the equation (3) Interval [0, 4]. There are more than one answer, enter them separated by commas. Enter exact expressions or decimal approximations. Symbolic trigonometric expressions arctan(5) marked incorrect

Use an identity to write the expression as a single trigonometric function. cOS 1420 cos 142 (Type an exact answer:)

Write out the answers for each part seperately. Thanks This problem has two parts_ Part 1: The graphs of (solid) and g(c) (dashed) are shown below: 5 6 7 8 f(c) Let K(c) g(r) The domain of notation: ) D(K) = (Express your answer in interval K(z) = 0 for (If multiple answers_ separate by…

Find all solutions of the equation in the interval [0,20) sin 20- [ = 0 Write your answer in radians in terms of T, If there is more than one solution, separate them with commas.

Use the properties of logarithms to expand the following logs as much as possible: 1. log% 2. log 4x5

(a) (3 points) Draw function: f(x) without picking up your pencil so that it has domain (-3,5] and concavity as follows: concave up on (-3, 0) and (2,5); concave down on (0,2) (You should have it in an xy plane similar to the one below) 22 point) What are the values of the inflection points…

5. If sine 3 and 0 lies in QII; tanp following: $ &nd B lies In QIV; find the Give the EXACT value only: (6 points each) sec(0 + 8) B. sin 28

I need an answer for each, abc. Thank you in advance. Write the domain in interval notation: (a) y(x) = âˆš(36 - x) (b) w(x) = âˆš(v - j) (c) z(x) = âˆš(36 - x)

I need help asap due today. Please show your work. [35 Points] DETAILS PREVIOUS ANSWERS SPRECALC7GE 2.1.084. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the curvature of the earth to find the maximum distance that you can see from the top of a building from an airplane at a height given by…

WANEFMACT 13.4.046_ Calculate the total area of the region described. Do not count area beneath the X-axis as negative. The region is bounded by the line y = 2x, the X-axis, and the lines x = 5 and x = 0. WANEFMACZ 13.4.048_ Calculate the total area of the region described. Do not count area…

DETAILS WANEFMAC7 13.4.008. Evaluate the integral: âˆ« (x+âˆšx) dx Need Help? Rendlt Katchk [-/1 Points] DETAILS WANEFMACZ 13.4.012. Evaluate the integral: âˆ« 6e^x dx Need Help? Raat Makhl

Suppose Î¸ is an angle in the first quadrant and cos Î¸ = 0.6. Find sin Î¸. Show how you found your answer.

Determine whether the vectors V and w are parallel v = (6, 2) , w= (8,24) Parallel Not parallel

cos 0 sin 0 1 -cos 0 A fellow student has been asked to verify the identity sin € What would you recommend as the first step? 2 csc 0,

Question Find an angle a that is coterminal with an angle, in radians, measuring exact answer involving T, if necessary: where 0 < & 21 . Give your answer as an Provide your answer below: FEEDBACK MORE INSTRUCTION SUBMIT

Given the triangle below; find sin(0). Enter the answer as a fraction: 17 15

Equation #2: y = 10x-2

How long does it take for deposit of 5700 to double at 6% compounded continuously?

need help with #9 art IV: Evaluate the following: Show all work for credit. Exact answers no decimals. (6 points each) Assume that the angle € Is In the first quadrant. tan(sin-= 13 cos(tan -1 0.2) sin(cos 10 tan(sin

Use the model A = Pe^rt or A = P(1 + r/n)^nt, where A is the future value of P dollars invested at interest rate r compounded continuously or n times per year for t years. Victor puts aside $4000 in an account with interest compounded continuously at 2.7%. How long will it take for him to earn…

simplify the following expression and express it as a function of sin(x) 2 sin? € 2 sinx + COs2 I COs2 x f(sin €)

Evaluate the integral using integration by parts where possible. Step: We are asked to use integration by parts to evaluate the indefinite integral âˆ«x^3 dx. The technique of integration by parts involves the following formula: âˆ«u dv = uv - âˆ«v du The technique is used when an integrand…

Find the time required for an investment of $5000 to grow to $9000 at an interest rate compounded quarterly. (Round your answer to two decimal places)

You begin saving for retirement by investing $500 per month in an annuity with a guaranteed interest rate of 6.96% per year. You increase the amount you invest at a continuous rate of investment and compounding. How much will you have accumulated in the annuity by the time you retire in 50…

Find the exact value of the following composite functions. (Without using a calculator) a. sin(sin 52) b. cos^(-1)(cos 5)

Sketch the standard position (SP) angle 0 ~245 " (6) What is the reference angle for SP angle 0 in (4) Sketch it below &s well; 3M

Please help me correct my incorrect answers! I am confused. (8/12 Points) DETAILS PREVIOUS ANSWERS UWAPRECALCI 6.P,004. MY NOTES 1) Let A = 12x - 1 solutions the equation Enter Zrunmj-jezaratcc Ienanst/cr doc_ DNE ) are 7 + 1 + 61. DVE ) ~value of _ cetichaneequetion 262) (Enter Your…

question 10. Nrite the matrix equation as system equations_ [; AJ[;] [: Complete the first cquation the system equations U=-1 Complete the second cquation of the system equations D-2

The graph below shows 2 transformations of y = 24. Write an equation for the graph above.

Give the following characteristics of the graph of a parabola below: Direction the parabola opens: Vertex: Focus: Focal Axis or Axis of Symmetry: Directrix: Focal Length: Focal Width:

When two musical tones of slightly different frequencies are played, the sound you hear will fluctuate in volume according to the difference in their frequencies. These are called beat frequencies. (Piano tuners use the beat frequency to adjust piano wire until it is at the same frequency as…

Here at the Precalculus Pizzeria_ every pentagonal pizza is guaranteed to come with free multipart function problem on the side! And here it is: inches inches inches 10 inches Suppose make a vertical cut through the above pizza T inches from the left-hand side: Write multipart function A(z)…

Fill in the missing terms to complete the square for the function f(c) = 2x? + 12c + 21. f(c) = 2(22 + 62 + 2) + 21 +

Solve the equation on the interval [0, 2π]: 2 sin^2(θ) - 3 sin(θ) + 1 = 0 Establish the identity: csc(θ) - sin(θ) = (cos(θ))(cot(θ)) Establish the identity: (tanθ-cotθ)/(tanθ+cotθ) = 1 - 2 cos^2 θ Find the exact (unrounded; no decimals) value of tan(75°).

A system of equations is given, together with the inverse of the coefficient matrix. Use the inverse of the coefficient matrix to solve the system of equations. 2Zx + Ty = 4 3x + 11y = 5 A^-1 = -3 The solution of the system of equations is (Type an ordered pair).

State a minimum of four (4) function transformations of your choosing that you are going to do to the toolkit function you chose. One transformation must be a shift left/right, one must be a reflection, one must be a shift up/down, and one must be a compression/stretch. You can choose the order…

how to solve? Consider the function f (c) = 2 cOS 34) + 2) Determine its amplitude; period, and midline: Enter the exact answers_

Hint: Determine which y-value the graph approaches, but does not touch: Numerical Response The graph of the function stretches horizontally by a factor of > and vertically by a factor of , translated units up and units to the left. If the transformed function is E(x), then, to the nearest tenth…

For each hyperbola below, find: (a) the center (C), (b) the foci, (c) the vertices, (d) the equations of the lines containing the transverse and conjugate axes, (e) the asymptotes. Sketch the hyperbola: 1. x^2/4 - y^2/25 = 1 2. (x-3)^2/9 - (y+2)^2/16 = 1

16. Find the horizontal and vertical intercepts, horizontal and vertical asymptotes Use the information t0 sketch graph of f (x)

(a) Find ( f0 &) (x ) if f(x)=3x-1 and g (* ) = "+3 (6) Evaluate ( f 0 g ) ( 2 ) 4.4) f0 &

Which is the equation of an ellipse with the center at the origin, a vertex at (-5,0) and a co-vertex at (0,4)? 5 4 1 25 16 El L 1 16 25 2 @4 9 !

Write an equation for transformed exponential function that passes through (1, 1) and 2,35)- f()

Consider the expression log (a) = 8. Find three unique combinations of values for and b that make the statement true_ The problem will be scored as either completely correct or incorrect with no partial credit given Option Option 2 Option 3

Find the domain and range of the function. Domain: Range:

Challenge Problem: The Difference Quotient of a Function Consider J(T) = âˆš(x + 1). Use âˆš for the square root. Compute: f(a) = âˆš(a + 1) b. Compute and simplify: f(a + h) = âˆš(5a + 5h + 1) Compute and simplify: f(a + h) - f(a) = âˆš(5a + 5h + 1) - âˆš(a + 1) d. Compute and simplify: 2âˆš(r…

Please help me with 59, 61, 63, 65. Compound Interest: For an initial deposit of $ES, find the total amount in the bank account after V years. Use the interest rates and compounding frequencies given: - 6% compounded annually - 3% compounded semiannually - 6% compounded monthly - 4.75%…

Question 6 Evaluate the function at the given value of x. Round to 4 decimal places if necessary: f(x) = f(4.2) = 311/1696 = 0.1834

Find the slope and inclination the tangent line to the graph of the ellipse: (x-Y) sin y = Vi shown the figure; at the point P-(x)

8. Suppose you determine that it takes the ball 20 seconds to complete one revolution. Determine the speed of the ball in radius lengths per second along its circular path. b. Define a function m that relates the ball's vertical distance above Jose's hand as & function of the number of…

19 ` 3 : 2x + 12 (b) dx (x + 2)(x2 4) (5 marks)

Question 12 EJpts 9 1 â‚¬4 0 Details Draw graph of () additional point on the graph; by first placing the horizontal and vertical asymptotes, then plotting Clear Draw: Qvideo DvVideo Question Help; Submit Question 449 D

Eslmnalc sor an army's strength and losses for a particular battle are given in the following table, where strength indicates the number of soldiers who were killed, wounded, captured, missing, or completed the battle: Soldiers Immediately Preceding the Battle: Strength: 20,827 Lost:…

The table shows relative frequencies for red-green color blindness in one doctor's practice. The column 'person male' represents the percentage of males in the practice, and the column 'person is color-blind' represents the percentage of color-blind individuals. Use this table to find the…

Explain the behavior of f(x) = ln(x-a) when x=a. Give values to x and a such that x-a=0.

What is (AB)C? 0.5 0.1 ; c-L-as 0.2 0.3_ A = S8-[-1

Felipe wants to know the length of the tunnel built through the mountain. To do so, he makes the measurements shown in the figure below. Use these measurements to find the length of the tunnel: 4y W TicI Canty Your intermediate computation should have four decimal places. Round your answer to…

Question If 0 < 2r and 4cosÎ¸ + 2 = 4, determine the values of Î¸. Please list your answers as exact answers in terms of Î¸. Provide your answer below: FEEDBACK MORE INSTRUCTION SUBMIT

Problem B: Write a rational function with a slant asymptote y = x + 4, a vertical asymptote at x = 5, and one of the zeroes at x = 0.

What is the value of the smallest zero of the polynomial f(x) = (x - 8)(x - 43)(x - 59)?

Use the figure to sketch graph of the specified vector

Use the Law of Sines to solve (if possible) the triangle If two solutions exist, find both_ Round vour answers to two decimal places_ (If not possible_ enter IMPOSSIBLE. ) 1130, b = 24 2.36

Ind en equation for the hyperbo a whose graph is below; The standard form of tha equalion is

Evaluate. 99920' - 37943' OA 61 937' ary 0 B. 136963' Oc 62843' 0 D. 62023'

Write an equation for a rational function with: Vertical asymptotes at x = 5 and x = -2 Intercepts at x = 4 and x = 2 Intercept at (0, 10)

Find the function y = ax^2 + bx + c whose graph contains the points (1, -5), (-3, 5), and (3, 17). What is the function? (Simplify your answer: )

Problem 5 Find all solutions to the equation sin? (20) + cos(20) + 1 = 0.

Working in radian measure, determine the exact value of cos.

Working in RDLAN measuring, determine the exact value of (sin).

Find the angle with measure between 0 radians and 2r radians that is coterminal to the angle with 5T measure radians_ radians

In a boat on the river below the dam, the angle of elevation to the top of the dam is 31Â°9'. If the dam is 1410 feet above the level of the river, how far is the boat from the base of the dam (to the nearest foot)? 1410 ft 3189' 2,333 ft 2,303 ft 2,313 ft 2,323 ft

A circular arc has measure 20 ft and is intercepted by a central angle of 2.7 radians: Find the radius r of the circle_ Do not round any intermediate computations, and round your answer to the nearest tenth: 6 2

Algebraically prove the following identities: 0 a) tan(0) = sin(0) / cos(0) + 1 / cos(0)

just problems 2,4 and 5 please! For each of the following problems, use the average rate of change formula to find the average rate of change of the given function over the given interval. SHOW ALL WORK. Write neatly and write your final simplified exact answer on the line provided. f(x) =…

The general form for the equation of conic is stated below: 4r? + y2 6y + 8r Determine the type of graph the equation represents_ Select an answer Rewrite the equation in standard form: If the conic an ellipse or hyperbola_ state the center: If this conic is parabola_ enter DNE State any and…

Find the foci; major & minor vertices, length of the major and minor axes; 400c, 841y, 336400. Maximum focal point. Minimum focal point. Maximum (major) vertex. Minimum (major) vertex. Maximum minor vertex. Minimum minor vertex. Length of the major axis. Length of the minor axis. Be sure to…

f(x) = Vr3+1 dx + E+ll @+ + C Ft+c = c * (r'+1)^2 - (6'+1)" + @tl @tl + â‚¬

Simplify sin 0 + cose cote sin 0 b cot 0 cos 0 csc 0 Please select the best answer from the choices provided 0 B

Lecture C01 03 â‚¬19 @0 Details 2 (22 + %) = Stamit Question Question G 01 pt 0 3 249 @ Details The graph below shows the rectangular sum of n Otoz rectangles: approximate the area under the line from right-hand right-hand sum? Select an answer not the Equation not the value 022 sum? Complete…

For the following trigonometric functions, determine the period and horizontal shift (Spts each): Y = sec(Tx) y = 4csc(31x + 2n) y = tan(Sx) y = cot(x)

Did I choose the correct answers? Table for f(z) is shown below: f(x) A table for g(z) is shown below: g(x) Based on the table, g(z) = 0 if f(z) = 1, if f(c + 1) = f(z) - 1, and if f(z) = 1. Table for h(r) is shown below: Based on the table, h(c) = 0 if h(r - 1) = h(r) + 1 and if h(e + 1) = 0…

Use a product-to-sum formula to rewrite cos(Sd) sin(3d) as a sum or difference. cos(Sd) sin(3d) = (1/2)(cos(Sd - 3d) - cos(Sd + 3d))

Graph one period of the function y = cot(x/3) on the grid below. Plot the center point and halfway points within one cycle. Within that cycle, also plot all asymptotes. Label your points.

Consider the following trig function k(t) = -49 cos(8t - 3) + [I0. What are the maximum and minimum values of this function? Find an angle in [0, Ï€) where the maximum occurs and an angle in [0, Ï€) where the minimum occurs.

EXACT solutions of the equation (3) Interval [0, 4]. There are more than one answer, enter them separated by commas. Enter exact expressions or decimal approximations. Symbolic trigonometric expressions arctan(5) marked incorrect

Use an identity to write the expression as a single trigonometric function. cOS 1420 cos 142 (Type an exact answer:)

Write out the answers for each part seperately. Thanks This problem has two parts_ Part 1: The graphs of (solid) and g(c) (dashed) are shown below: 5 6 7 8 f(c) Let K(c) g(r) The domain of notation: ) D(K) = (Express your answer in interval K(z) = 0 for (If multiple answers_ separate by…

Find all solutions of the equation in the interval [0,20) sin 20- [ = 0 Write your answer in radians in terms of T, If there is more than one solution, separate them with commas.

Use the properties of logarithms to expand the following logs as much as possible: 1. log% 2. log 4x5

(a) (3 points) Draw function: f(x) without picking up your pencil so that it has domain (-3,5] and concavity as follows: concave up on (-3, 0) and (2,5); concave down on (0,2) (You should have it in an xy plane similar to the one below) 22 point) What are the values of the inflection points…

5. If sine 3 and 0 lies in QII; tanp following: $ &nd B lies In QIV; find the Give the EXACT value only: (6 points each) sec(0 + 8) B. sin 28

I need an answer for each, abc. Thank you in advance. Write the domain in interval notation: (a) y(x) = âˆš(36 - x) (b) w(x) = âˆš(v - j) (c) z(x) = âˆš(36 - x)

I need help asap due today. Please show your work. [35 Points] DETAILS PREVIOUS ANSWERS SPRECALC7GE 2.1.084. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the curvature of the earth to find the maximum distance that you can see from the top of a building from an airplane at a height given by…

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