f(x) = 5 sinx + 4 cos x, on (-T, π) a) Determine the intervals on which f is concave up and concave down. f is concave up on: f is concave down on: b) Based on your answer to part (a), determine the inflection points of f. Each point should be enter an ordered pair (that is, in the form (x, y)). (Separate multiple answers by commas.) C) Find the critical numbers of f and use the Second Derivative Test, when possible, to determine th elative extrema. List only the x-coordinates. Relative maxima at: (Separate multiple answers by commas.) Relative minima at: (Separate multiple answers by commas.) d) Find the x-value(s) where f'(x) has a relative maximum or minimum. has relative maxima at: 'has relative minima at: tan 45 (Separate multiple answers by commas.) (Separate multiple answers by commas.)
f(x) = 5 sinx + 4 cos x, on (-T, π) a) Determine the intervals on which f is concave up and concave down. f is concave up on: f is concave down on: b) Based on your answer to part (a), determine the inflection points of f. Each point should be enter an ordered pair (that is, in the form (x, y)). (Separate multiple answers by commas.) C) Find the critical numbers of f and use the Second Derivative Test, when possible, to determine th elative extrema. List only the x-coordinates. Relative maxima at: (Separate multiple answers by commas.) Relative minima at: (Separate multiple answers by commas.) d) Find the x-value(s) where f'(x) has a relative maximum or minimum. has relative maxima at: 'has relative minima at: tan 45 (Separate multiple answers by commas.) (Separate multiple answers by commas.)
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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Question
Transcribed Image Text:f(x) = 5 sinx + 4 cos x, on (-π, π)
a) Determine the intervals on which f is concave up and concave down.
f is concave up on:
f is concave down on:
b) Based on your answer to part (a), determine the inflection points of f. Each point should be entere
an ordered pair (that is, in the form (x, y)).
(Separate multiple answers by commas.)
c) Find the critical numbers of f and use the Second Derivative Test, when possible, to determine the
relative extrema. List only the x-coordinates.
V
Relative maxima at:
(Separate multiple answers by commas.)
(Separate multiple answers by commas.)
Relative minima at:
d) Find the x-value(s) where f'(x) has a relative maximum or minimum.
f' has relative maxima at:
(3))
5
f' has relative minima at:
200
-tan
(Separate multiple answers by commas.)
(Separate multiple answers by commas.)
AR N
150
PAR JOURNE
ال التي ال ا
x
TO
1
T
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