Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x* – 32x² + 4 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) (-4,0) U (4,00) Find the interval on which f is decreasing. (Enter your answer using interval notation.) (-0,4) U (0,4) (b) Find the local maximum and minimum values of f. local minimum value -4,4 local maximum value (c) Find the inflection points. (Order your answers from smallest to largest x, then from smallest to largest y.) (x, y) = (x, y) = Find the interval on which f is concave up. (Enter your answer using interval notation.) Find the interval on which f is concave down.(Enter your answer using interval notation.)
Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x* – 32x² + 4 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) (-4,0) U (4,00) Find the interval on which f is decreasing. (Enter your answer using interval notation.) (-0,4) U (0,4) (b) Find the local maximum and minimum values of f. local minimum value -4,4 local maximum value (c) Find the inflection points. (Order your answers from smallest to largest x, then from smallest to largest y.) (x, y) = (x, y) = Find the interval on which f is concave up. (Enter your answer using interval notation.) Find the interval on which f is concave down.(Enter your answer using interval notation.)
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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Transcribed Image Text:Consider the equation below. (If an answer does not exist, enter DNE.)
f(x) = x* - 32x² + 4
(a) Find the interval on which f is increasing. (Enter your answer using interval notation.)
(-4,0) U (4,0)
Find the interval on which fis decreasing. (Enter your answer using interval notation.)
(-0,4) U (0,4)
(b) Find the local maximum and minimum values of f.
local minimum value
-4,4
local maximum value
(c) Find the inflection points. (Order your answers from smallest to largest x, then from smallest to largest y.)
(х, у)
(х, у) %3D
Find the interval on which f is concave up. (Enter your answer using interval notation.)
Find the interval on which fis concave down.(Enter your answer using interval notation.)
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