Q-5: a) Find the area of the region enclosed by the two graphs y = e²x and y = 1-x, on [0,1]. b) L Find the average value of f(x) = on [1,e²].
Q-5: a) Find the area of the region enclosed by the two graphs y = e²x and y = 1-x, on [0,1]. b) L Find the average value of f(x) = on [1,e²].
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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![Q-5:
a)
P
Find the area of the region enclosed by the two graphs
y = e 2x and y = 1- x, on [0,1].
b) [
Find the average value of f(x) = on [1,e²].
x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa2e672a1-54a8-4743-aad6-f3d1c4a0c4ab%2F14e7712d-8e30-49fb-ac52-4af774d74b0d%2Fyxpdde3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q-5:
a)
P
Find the area of the region enclosed by the two graphs
y = e 2x and y = 1- x, on [0,1].
b) [
Find the average value of f(x) = on [1,e²].
x
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