# Calculus : 20 Multiple Choice Questions and Answers

Apr 30th, 2015
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Find an equation of the tangent to the curve y(x) = x^2 - 3x + 2 at the point (1, 2). If s = 2t^2 + 5t - 8 represents the position of an object at time t, find the acceleration (s") of this object at t = 2 sec. Find the absolute extreme values of the function f(x) = 3x - 4 if -2 ≤ x ≤ 3 Determine all critical points for the function Q(x) = x^3 - 12x + 5 Calculate where the minimum value of the cost function C(x) = x^2 - 20x + 300 occurs and what that minimum value is. A TV retailer supposes that in order to sell n number of TVs, the price per unit must follow the model p = 600 - 0.3n. The retailer also supposes that the total cost of keeping n number of TVs in inventory is given by the model C(n) = 0.3n^2 + 5,000. How many TVs must the retailer keep in inventory and sell in order to maximize his profit? And The rest.

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Find an equation of the tangent to the curve y(x) = x^2 - 3x + 2 at the point (1, 2).x + y = 3x - y = 3y = 2x - y = 3Find an equation of the tangent to the curve f(x) = 2x^2 - 2x + 1 that has slope 2.y = 2xy = 2x + 1y = 2x + 2y = 2x - 1Find the second derivative of the function y = 14x - 12x^214 - 12x14 - 24x-24x-24If s = 2t^2 + 5t - 8 represents the position of an object at time t, find the acceleration (s") of this object at t = 2 sec.131048Find the second derivative of c(x) = 9x^2 + 3x - 718x + 30189Find the second derivative of k(x) = 2x^3 - 7x^2 + 312x - 1414x - 814x - 128x - 14In order to mimize a function f(x), one must find solutions to the equation f"(x) = 0.TrueFalseFind the absolute extreme values of the function f(x) = 3x - 4 if -2 ? x ? 3absolute maximum is 13 at x = 3; absolute minimum is - 2 at x = -2absolute maximum is 5 at x = -2; absolute minimum is - 2 at x = 3absolute maximum is 13 at x = -3; absolute minimum is - 10 at x = 2absolute maximum is 5 at x = 3; absolute minimum is - 10 at x = -2Find the absolute extreme values of the function R(x) = -x^2 + 8x - 16, if 4 ? x ? 4absolute maximum is 1 at x = 5; absolute minimum is 0 at 4 and 0 at x = 4absolute maximum is 0 at x = 5; absolute minimum is 0 at 4 and 0 at x = 4absolute maximum is 0 at x = 4; absolute minimum is 0 at 4 and 0 at x = 4absolute maximum is 32 at x = 4; absolute minimum is 0 at 4 and 0 at x = 4Determine all critical points for the function

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