Calculus 20 MCQ's And answers..

Apr 30th, 2015
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If s = 2t2 + 5t - 8 represents the position of an object at time t, find the acceleration (s") of this object at t = 2 sec. Find the second derivative of c(x) = 9x2 + 3x - 7 In order to mimize a function f(x), one must find solutions to the equation f"(x) = 0. Find the absolute extreme values of the function R(x) = -x2 + 8x - 16, if 4 ≤ x ≤ 4 McX Corp. has annual revenues that can be modeled by the function R(n) = -0.02n2 + 520n, and costs that can be modeled by the function C(n) = 200n + 100,000. What is the company's maximum annual profit?

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Find an equation of the tangent to the curve y(x) = x2- 3x + 2 at the point (1, 2).Question 1 options:1)x + y = 32)2x - y = 33)y = 24)x - y = 3SaveQuestion 2(1 point)Find an equation of the tangent to the curve f(x) = 2x2- 2x + 1 that has slope 2.Question 2 options:1)y = 2x2)y = 2x + 13)y = 2x + 24)y = 2x - 1SaveQuestion 3(1 point)Find the second derivative of thefunction y = 14x - 12x2Question 3 options:1)14 - 12x2)14 - 24x3)-24x4)-24SaveQuestion 4(1 point)If s = 2t2+ 5t - 8 represents the position of an object at time t, find the acceleration (s") of this object at t = 2 sec.Question 4 options:1)132)103)44)8SaveQuestion 5(1 point)Find the second derivative of c(x) = 9x2+ 3x - 7Question 5 options:1)18x + 32)03)184)9SaveQuestion 6(1 point)Find the second derivative ofk(x) = 2x3- 7x2+ 3Question 6 options:1)12x - 142)14x - 83)14x - 124)8x - 14SaveQuestion 7(1 point)In order to mimize a function f(x), one must find solutions to the equation f"(x) = 0.Question 7 options:TrueFalseSaveQuestion 8(1 point)Find the absolute extreme values of the function f(x) = 3x - 4 if -2? x? 3Question 8 options:1)absolute maximum is 13 at x = 3; absolute minimum is - 2 at x = -22)absolute maximum is 5 at x = -2; absolute minimum is - 2 at x = 33)a

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