Define F(s) = ₁₂² For this function on [-2,2], find ³1-x²dx, for s = [-2,2]. • critical points local maxima and minima • intervals on which F is increasing and decreasing • intervals on which F is concave up or down You do not need to calculate the value of the function at any point. You may assume without proof that the cube root function is continuous but you do need to refer precisely to any other theorems you are using.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
Section2.3: Analyzing Graphs Of Functions
Problem 6ECP
Question
3. Define
F (s) = [₂
LVI-2²dx,
- x² dx,
For this function on [-2, 2], find
critical points
local maxima and minima
intervals on which F is increasing and decreasing
intervals on which F is concave up or down
for s = [-2,2].
You do not need to calculate the value of the function at any point. You may assume without
proof that the cube root function is continuous but you do need to refer precisely to any other
theorems you are using.
Transcribed Image Text:3. Define F (s) = [₂ LVI-2²dx, - x² dx, For this function on [-2, 2], find critical points local maxima and minima intervals on which F is increasing and decreasing intervals on which F is concave up or down for s = [-2,2]. You do not need to calculate the value of the function at any point. You may assume without proof that the cube root function is continuous but you do need to refer precisely to any other theorems you are using.
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