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christine johnson

christine j.

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A blanket covers 8100 square inches. How big is the blanket in square feet? 8100 square inches

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The best anatomical term to describe the back region of the body would be ventral. dorsal. gluteal. vertebral. popliteal.

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If the staff who lost their jobs at the Amsterdam BrewHouse in Toronto met all the criteria to be categorized as unemployed, what type of unemployment did they experience? They experienced _______. A. natural unemployment B. frictional unemployment C. structural unemployment D. cyclical unemployment

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Problem Problem List Next Problem 02 Velocity and Rate of Change: Problem 2 (18 points) Let $P_1$ and $P_2$ be the populations in hundreds of Town 1 and Town 2 respectively. The table below shows data for these two populations for five different years. Year 1980 1984 1987 1992 1997 $P_1$ 51 57 62 70 76 $P_2$ 84 77 70 63 56 Find the average rate of change of each population over each of the time intervals below. (a) From 1980 to 1987, the average rate of change of the population of Town 1 was ______ hundred people per year, and the average rate of change of the population of Town 2 was ______ hundred people per year. (b) From 1987 to 1997, the average rate of change of the population of Town 1 was ______ hundred people per year, and the average rate of change of the population of Town 2 was ______ hundred people per year. (c) From 1980 to 1997, the average rate of change of the population of Town 1 was ______ hundred people per year, and the average rate of change of the population of Town 2 was ______ hundred people per year. Note: You can earn partial credit on this problem. Preview Answers Submit Answers

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Use the integrating factor method to find $y$ solution of the initial value problem $ty' = 3y + 2t^4 \sin(3t)$, $y(\frac{\pi}{3}) = 0$ $t > 0$. (a) Find an integrating factor $\mu$. If you leave an arbitrary constant, denote it as $c$. $\mu(t) = t^{-3}$ (b) Find all solutions $y$ of the differential equation above. Again denote by $c$ any arbitrary integration constant. $y(t) = $ (c) Find the only solution of the initial value problem above. $y(t) = $

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Find the area of the region.\\ $y^2 = x^2(25 - x^2)$

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III. PROBLEM SOLVING (5pts each letter) 1. An alternator has a parameter of 15 ohm reactance and negligible resistance and draws 250amperes at 0.8pf lagging at 12kV 3phase wye Load. find a) generated emf per phase and b) torque angle c) power developed per phase d) voltage regulation.

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Texts: 1. (10 points) Consider the following initial value problem (IVP): 𝑦′ − 𝑦 = 𝑒𝑡, 𝑦(0) = 2 (H) Multiply the differential equation by your integrating factor you found in (G) above. Rewrite it in differential form that becomes exact. You need to check the exactness. (solution) (I) Find the implicit solution of the IVP using a total differential. You need to demonstrate your work clearly. (solution) (J) Verify your implicit solution in (I) above using implicit differentiation. (solution) (K) Find the general solution of the associated homogeneous differential equation. (solution) (L) Find a particular solution of the nonhomogeneous differential equation using the method of undetermined coefficients. (solution) (M) Find a particular solution of the nonhomogeneous differential equation using the method of variation of parameters. (solution) (N) Find the solution of the IVP using your answers in (K)-(M) above. 2. (10 points) Consider the following initial value problem (IVP): 𝑦′ − 𝑦 = 𝑒^t , 𝑦(0) = 2 (K) Find the general solution of the associated homogeneous differential equation. (solution) (L) Find a particular solution of the nonhomogeneous differential equation using the method of undetermined coefficients. (solution) (M) Find a particular solution of the nonhomogeneous differential equation using the method of variation of parameters. (solution) (N) Find the solution of the IVP using your answers in (K)-(M) above. 3. (10 points) Consider the following initial value problem (IVP): 𝑦′ − 𝑦 = 𝑒^t , 𝑦(0) = 2 (K) Find the general solution of the associated homogeneous differential equation. (solution) (L) Find a particular solution of the nonhomogeneous differential equation using the method of undetermined coefficients. (solution) (M) Find a particular solution of the nonhomogeneous differential equation using the method of variation of parameters. (solution) (N) Find the solution of the IVP using your answers in (K)-(M) above. G) Solve the IVP using an integrating factor.

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Duncan Manufacturing Company began operations on January 1, 2011. During the year, it started and completed 50 units. Product costs for the period equal: 1) Acquired $30,000 cash by issuing common stock 2) Paid $10,000 for materials. 3) Paid $6,000 for administrative salaries. 4) Paid $8,000 for wages of production workers. 5) Depreciation of office furniture $2,500. 6) Depreciation of manufacturing equipment $3,500. 7) Collected $28,000 in cash for sales of 45 units. Select one: ? a. $ 24,000. b. $ 21,500. ? c. $ 30,000. ? d. $ 24,500.

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Find explicit bijections between the following subintervals of R. (a) (0,1) and (1,?) (b) (1,?) and (0,?) (c) (0,?) and R (d) (0,1) and R

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