In each of the following we find the maximum and the minimum of the given function...
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In each of the following we find the maximum and the minimum of the given function f(x) on the interval [a,b). As a first step for each, find the derivative f(x) and determine all the critical points. a) Find the maximum and minimum of the function f(x) on the interval [-3, 6), where f(x) is given by the following f(x) = x4 8 x3 - 16 x2 + 4 %3D f(x) = x^4 - (8/3) x^3 - 16 x^2+ 4 b) Find the maximum and minimum of the function f(x) on the interval [2,10], where f(x) is given by the following 2х f(x) x2 +1 QUESTION 13 Mean Value Theorem a. Apply to function f(x) given below on the interval [0, 4]. verify conditions; state conclusion f(x) = (x+1)2 (x-5) { f(x) = (x+1)^2 (x - 5) b. Solve for all values of c in (0,4) satisfying conclusions as stated by theorem. QUESTION 14 10 points Save Ans regions increasing and decreasing In this problem we find the regions on which the function f(x) is increasing and the intervals where it is decreasing. Consider the following function f(x) f(x) = x2 9- x? domain - 3sx<3 f(x) = x^2 sqrt(9 - x^2) { domain -3 <= x <= 3 a) Find the derivative f'(x) and use this to find all critical points. b) Apply the information from part a) to determine the regions in the domain where f(x) is increasing and the regions within the domain where it is decreasing. In each of the following we find the maximum and the minimum of the given function f(x) on the interval [a,b). As a first step for each, find the derivative f(x) and determine all the critical points. a) Find the maximum and minimum of the function f(x) on the interval [-3, 6), where f(x) is given by the following f(x) = x4 8 x3 - 16 x2 + 4 %3D f(x) = x^4 - (8/3) x^3 - 16 x^2+ 4 b) Find the maximum and minimum of the function f(x) on the interval [2,10], where f(x) is given by the following 2х f(x) x2 +1 QUESTION 13 Mean Value Theorem a. Apply to function f(x) given below on the interval [0, 4]. verify conditions; state conclusion f(x) = (x+1)2 (x-5) { f(x) = (x+1)^2 (x - 5) b. Solve for all values of c in (0,4) satisfying conclusions as stated by theorem. QUESTION 14 10 points Save Ans regions increasing and decreasing In this problem we find the regions on which the function f(x) is increasing and the intervals where it is decreasing. Consider the following function f(x) f(x) = x2 9- x? domain - 3sx<3 f(x) = x^2 sqrt(9 - x^2) { domain -3 <= x <= 3 a) Find the derivative f'(x) and use this to find all critical points. b) Apply the information from part a) to determine the regions in the domain where f(x) is increasing and the regions within the domain where it is decreasing.
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Related Book For
Corporate Finance Core Principles and Applications
ISBN: 978-0077905200
3rd edition
Authors: Stephen Ross, Randolph Westerfield, Jeffrey Jaffe, Bradford
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