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For the followings problems, consider a function that is twice differentiable. This means that his differentiable and its derivative, h', is also differentiable. Some values of h'(x) are given in the table below: x -8-6-4-2 0 24 6 8 h'(x) 3 7 0 -3 -5 -4 0 -2 6 Determine all intervals in which h must have an inflection point. (-8,-4) (-4,0) (0,4) (2,6) (4,8)

For the followings problems, consider a function that is twice differentiable. This means that his differentiable and its derivative, h', is also differentiable. Some values of h'(x) are given in the table below: x -8-6-4-2 0 24 6 8 h'(x) 3 7 0 -3 -5 -4 0 -2 6 Determine all intervals in which h must have an inflection point. (-8,-4) (-4,0) (0,4) (2,6) (4,8)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For the followings problems, consider a function h that is twice differentiable. This means that his differentiable and its derivative, h', is also differentiable. Some values of h' (x) are given in the table below: Determine all intervals in which h must have an inflection point. (-8,-4) □ (-4,0) (0,4) (2,6) (4,8) (-8,-6) (-4,-2) (-2, 0) (2,4) (6,8) x -8 -6 -4 -2 0 2 4 h'(x) 3 7 0 -3 -5 -4 0 Determine all intervals which contain a number c satisfying h" (c) = 2. 0-2 6 8 -2 6 Suppose that h" (x) < 0 for a <-8, and h(-8)= 7. Select all numbers that could be reasonable values of h(-10). 0-1 00 01 02
Transcribed Image Text:For the followings problems, consider a function h that is twice differentiable. This means that his differentiable and its derivative, h', is also differentiable. Some values of h' (x) are given in the table below: Determine all intervals in which h must have an inflection point. (-8,-4) □ (-4,0) (0,4) (2,6) (4,8) (-8,-6) (-4,-2) (-2, 0) (2,4) (6,8) x -8 -6 -4 -2 0 2 4 h'(x) 3 7 0 -3 -5 -4 0 Determine all intervals which contain a number c satisfying h" (c) = 2. 0-2 6 8 -2 6 Suppose that h" (x) < 0 for a <-8, and h(-8)= 7. Select all numbers that could be reasonable values of h(-10). 0-1 00 01 02
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