3. Find the points of relative extrema of the following functions on the specified domain: (a) f(x):=|x² - 1| for -4 < x< 4, (c) h(x) := x|x² – 12| for – 2 < x < 3, (b) g(x):= 1 – (x- 1) for 0 < x < 2, (d) k(x) := x(x - 8)/3 for 0
3. Find the points of relative extrema of the following functions on the specified domain: (a) f(x):=|x² - 1| for -4 < x< 4, (c) h(x) := x|x² – 12| for – 2 < x < 3, (b) g(x):= 1 – (x- 1) for 0 < x < 2, (d) k(x) := x(x - 8)/3 for 0
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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part a only
![3. Find the points of relative extrema of the following functions on the specified domain:
(a) f(x) := |x² – 1| for -4 <x < 4,
(c) h(x) := xx² – 12| for – 2 < x < 3,
(b) g(x) := 1 – (x – 1)1 for 0 <x< 2,
1/3
(d) k(x) := x(x – 8)3 for 0 < x < 9.
4. Let a1, az2,. . , a, be real numbers and let f be defined on R by
f(x) := S`(a - x)? for reR](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce4008b2-791e-4b75-a563-2e8ae88120a0%2F67b56fb3-28eb-4500-8ddf-f174c0322394%2Fpgpvshp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Find the points of relative extrema of the following functions on the specified domain:
(a) f(x) := |x² – 1| for -4 <x < 4,
(c) h(x) := xx² – 12| for – 2 < x < 3,
(b) g(x) := 1 – (x – 1)1 for 0 <x< 2,
1/3
(d) k(x) := x(x – 8)3 for 0 < x < 9.
4. Let a1, az2,. . , a, be real numbers and let f be defined on R by
f(x) := S`(a - x)? for reR
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