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Please Answer Parts A,B,C,D,E for one question.

Please Answer Parts A,B,C,D,E for one question.

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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Please Answer Parts A,B,C,D,E for one question.

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) O (-4, 0) (0,4) O (2,6) ☐ (4,8) Determine all intervals which contain a number c satisfying h" (c) = 2. (-8,-6) (-4,-2) □ (-2, 0) (2,4) (6,8) Suppose that h" (x) < 0 for x <-8, and h(-8)= 7. Select all numbers that could be reasonable values of h(-10). 0-2 00 0-1 X -8 -6 -4 -2 0 24 6 8 h'(x) 3 7 0 -3 -5 -4 0 -2 6 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) O (-4, 0) (0,4) O (2,6) ☐ (4,8) Determine all intervals which contain a number c satisfying h" (c) = 2. (-8,-6) (-4,-2) □ (-2, 0) (2,4) (6,8) Suppose that h" (x) < 0 for x <-8, and h(-8)= 7. Select all numbers that could be reasonable values of h(-10). 0-2 00 0-1 X -8 -6 -4 -2 0 24 6 8 h'(x) 3 7 0 -3 -5 -4 0 -2 6 01 02
For the followings problems, consider a function h that is twice differentiable. This means that h is differentiable and its derivative, h', is also differentiable. Some values of h' (x) are given in the table below: (-8,-6) ✓(-6,-2) (-2, 2) (2,6) Determine all intervals in which h must have a critical point. (6,8) (-8,-6) X -8 h'(x) ✔ (-6, -2) (-2,2) (2,6) 00 ان Determine all intervals in which h must have a local extremum (i.e., a local maximum or a local minimum). (6,8) 3 67 -6 -4 -2 0 2 4 0 -3 -5 -4 0 -2 6 8 6
Transcribed Image Text:For the followings problems, consider a function h that is twice differentiable. This means that h is differentiable and its derivative, h', is also differentiable. Some values of h' (x) are given in the table below: (-8,-6) ✓(-6,-2) (-2, 2) (2,6) Determine all intervals in which h must have a critical point. (6,8) (-8,-6) X -8 h'(x) ✔ (-6, -2) (-2,2) (2,6) 00 ان Determine all intervals in which h must have a local extremum (i.e., a local maximum or a local minimum). (6,8) 3 67 -6 -4 -2 0 2 4 0 -3 -5 -4 0 -2 6 8 6
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