Find the rate of change. Area of a square with respect to its side s when s = 27

Question

Find the rate of change. Area of a square with respect to its side s when s = 27. square units per unit increase The temperature (in degree C) of an object at time t (in minutes) is T(t) = for At what rate is the object cooling at t = 10? Suppose the dollar cost of producing x video cameras is C(x) = 500x - 0.004x2 + 10-8x3. Estimate the marginal cost at production level x = 6500. Three decimal places.) Find the actual cost C(6501) - C(6500). (Round your answer to three decimal places.) Find the average cost per camera at x = 6500. (Round your answer to three decimal places.)

Explanation / Answer

20.

54

21.

= 3/4 t -15

T(10)= 3/4 (10)-15 = -7.5 Negative sign shows that temperature is decreasing.

22.

C(x)= 50 x -0.004 x^2 -10^-8 x^3

x=6500

1) MC= 448.845

2) 3084195.513-3083746.25= 449.263

3) 449.054

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