Q-5: a) Find the area of the region enclosed by the two graphs y = e²x and y = 1 -x, on [0,1]. Find the average value of f(x) = ² on [1,e²].

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 9CC
Question
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Q-5:
a)
Find the area of the region enclosed by the two graphs
y = e2x and y = 1-x, on [0,1].
b)
Find the average value of f(x) = ²/
on [1,e²].
Transcribed Image Text:Q-5: a) Find the area of the region enclosed by the two graphs y = e2x and y = 1-x, on [0,1]. b) Find the average value of f(x) = ²/ on [1,e²].
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