Let f(x) = 36 – 5z – z?. (A) Use interval notation to indicate where f(z) is increasing. Note: Use 'INF' for o, '-INF for -oo, and use 'U' for the union symbol. Increasing: (B) Use interval notation to indicate where f(x) is decreasing. Decreasing: (C) Find the average of the z values of all local maxima of f. Note: If there are no local maxima, enter -1000. Average of a values- (D) Find the average of the z values of all local minima of f. Note: If there are no local minima, enter -1000. Average of z values - -1000
Let f(x) = 36 – 5z – z?. (A) Use interval notation to indicate where f(z) is increasing. Note: Use 'INF' for o, '-INF for -oo, and use 'U' for the union symbol. Increasing: (B) Use interval notation to indicate where f(x) is decreasing. Decreasing: (C) Find the average of the z values of all local maxima of f. Note: If there are no local maxima, enter -1000. Average of a values- (D) Find the average of the z values of all local minima of f. Note: If there are no local minima, enter -1000. Average of z values - -1000
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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HW 12 DUE MAR 11
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Let
f(z) = 36 – 5z – x².
(A) Use interval notation to indicate where f(z) is increasing.
Note: Use 'INF' for oo, '-INF' for -00, and use 'U' for the union symbol.
Increasing:
(B) Use interval notation to indicate where f(x) is decreasing.
Decreasing:
(C) Find the average of the z values of all local maxima of f.
Note: If there are no local maxima, enter -1000.
Average of æ values =
(D) Find the average of the z values of all local minima of f.
Note: If there are no local minima, enter -1000.
Average of z values =
-1000
(E) Use the preceding information to sketch a graph of f. When you're finished, enter a "1" in the box below.
Graph Complete: 1
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