# The instantaneous velocity function

Test: Quiz 2 (2.5, 2.7, 3.1) Questions: 6 Due: 07/16/21 11:59pm O of 3 Attempts: This quiz will affect your Study Plan score. You have 45 minutes left to complete this assignment. 4 Find G'(w) if (w) = 3w5 +74/Ww. G'(w) = If an object moves along the y-axis (marked in feet) so that its position at time x (in seconds) is given by f(x) = 150x – 10x?, find the following. (A) The instantaneous velocity function v = f'(x) (B) The velocity when x = 0 and x = 1 sec (C) The time(s) when v=0 (A) v(x) =D (B) The velocity when x = 0 sec is The velocity when x= 1 sec is ft /sec. ft / sec. (C) The velocity is O atx=sec. (Simplify your answer. Use a comma to separate answers as needed.) The total cost (in dollars) of producing x food processors is C(x) = 1800 + 20x -0.1×2 (A) Find the exact cost of producing the 71st food processor. (B) Use the marginal cost to approximate the cost of producing the 71st food processor. (A) The exact cost of producing the 71st food processor is $ (B) Using the marginal cost, the approximate cost of producing the 71st food processor is The price p (in dollars) and the demand x for a particular clock radio are related by the equation x = 4000-80p. (A) Express the price p in terms of the demand x, and find the domain of this function. (B) Find the revenue R(x) from the sale of x clock radios. What is the domain of R? (C) Find the marginal revenue at a production level of 3600 clock radios. (D) Interpret R'(3700) = -42.50. (A) P = P(x) =D What is the domain of p(x)? O A. X20 B. XS 5000 OC. All real numbers OD. 0sx< 4000 (B) R(x) = What is the domain of R(x)? O A. X

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