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rh77

rh77

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Luke Humphrey verified

Numerade educator

Demand The demand function for a product is given by [ p=8,000left(1-frac{3}{3+e^{-0.004 x}} ight) ] where ( p ) is the price per unit (in dollars) and ( x ) is the number of units sold. (a) Find the number of units sold when ( p=$ 500 ). ( square ) units (b) Find the number of units sold when ( p=$ 1,400 ). ( square ) units

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Luke Humphrey verified

Numerade educator

According to the Doyle Log Rule, the volume V (in board-feet) of a log of length L (in feet) and diameter D (in inches) at the small end is V = ((D - 4)/4)^2 L. Find the rate (in board-feet/in) at which the volume is changing with respect to D for a 24-foot-long log whose smallest diameter is the following. (a) smallest diameter is 8 inches board-feet/in (b) smallest diameter is 16 inches board-feet/in (c) smallest diameter is 24 inches board-feet/in (d) smallest diameter is 36 inches board-feet/in

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Justin Swantek verified

Numerade educator

Forestry According to the Doyle Log Rule, the volume V (in board-feet) of a log of length L (in feet) and diameter D (in inches) at the small end is V = ((D - 4) / 4)^2 * L Find the rate (in board-feet/in) at which the volume is changing with respect to D for a 24-foot-long log whose smallest diameter is the following. (a) smallest diameter is 8 inches board-feet/in (b) smallest diameter is 16 inches board-feet/in (c) smallest diameter is 24 inches board-feet/in (d) smallest diameter is 36 inches board-feet/in

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Zack A verified

Numerade educator

Analyze and sketch the graph of the function. Identify any intercepts, relative extrema, points of inflection, and asymptotes. f(x) = x * sqrt(49 - x^2) x-intercept (smallest x-value) (x, y) = ( [ ] ) x-intercept (x, y) = ( [ ] ) x-intercept (largest x-value) (x, y) = ( [ ] ) y-intercept (x, y) = ( [ ] ) relative maximum (x, y) = ( [ ] ) relative minimum (x, y) = ( [ ] ) point of inflection (x, y) = ( [ 0,0 ] )

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Kathleen Carty verified

Numerade educator

Complete the table for an account in which interest is compounded continuously. (Round your answers to two decimal places.) | Initial investment (in dollars) | Annual rate | Time to double (in years) | Amount after 10 years (in dollars) | Amount after 25 years (in dollars) | | :--- | :--- | :--- | :--- | :--- | | $ [ ] | 5% | [ ] years | $ [ ] | $6,000 |

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Michelle Freed verified

Numerade educator

Demand The demand function for a product is given by p = 8,000(1 - 3/(3 + e^(-0.004x))) where p is the price per unit (in dollars) and x is the number of units sold. (Round your answers to the nearest whole number.) (a) Find the number of units sold when p = $500. units (b) Find the number of units sold when p = $1,400. units

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Kathleen Carty verified

Numerade educator

Velocity and Acceleration The position function of a particle is given by s = 1 / (t^2 + 4t + 4) where s is the height (in feet) and t is the time (in seconds). Find the velocity and acceleration functions. v(t) = a(t) =

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Tim Thornhill verified

Numerade educator

Find the limit (if it exists). (If an answer does not exist, enter DNE.) [ lim _{x ightarrow-3} f(x), ext { where } f(x)=left{egin{array}{ll} frac{1}{3} x+7, & x<-3 \ -x+3, & x geq-3 end{array} ight. ] ( square ) Submit Answer

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Ivan Kochetkov verified

Numerade educator

9. The annual earnings of 19 people with a high school diploma and 16 people with an associate's degree are shown below. Can you conclude that there is a difference in the mean annual earnings based on level of education? Use ?= 0.01. Assume the populations are normally distributed and the population variances are not equal. High school diploma | Associate's degree --- | --- X = $32,493 | X =$ 40,907 s = $3118 | s= $6162 n = 19 | 16

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Ivan Kochetkov verified

Numerade educator

8. Use Table 5 to find critical value ( s ) for the following. Assume that the samples are random and independent, the populations are normally distributed, and that population variances are equal. H : ? ? ?, ? = 0.10, n = 11, n = 14 (mean sub one does not equal mean sub two. H : ? > ?, ? = 0.01, n = 12, n = 15 (mean sub one is greater than mean sub two.)

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