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EXERCISES- Section 3.1 1-6 I For each of the following functions and inter- val, find the average of the function on the interval. 1. f(x) = x² + 2x on [0,3] 2. g(x) = Vx on [1,9] 3. h(0) = cos on [0, 7] = COS 2 4. k(x) = 1 on [-1,1] %3D x² + 1 .2 5. p(x) = x sin x² on [0, yn] %3D 6. r(x) = x² Vx³ +1 on [0, 2] 7. s(x) = xe² on [0, 2] 8. q(x) = x sin x on [0, 1

EXERCISES- Section 3.1 1-6 I For each of the following functions and inter- val, find the average of the function on the interval. 1. f(x) = x² + 2x on [0,3] 2. g(x) = Vx on [1,9] 3. h(0) = cos on [0, 7] = COS 2 4. k(x) = 1 on [-1,1] %3D x² + 1 .2 5. p(x) = x sin x² on [0, yn] %3D 6. r(x) = x² Vx³ +1 on [0, 2] 7. s(x) = xe² on [0, 2] 8. q(x) = x sin x on [0, 1

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 30EQ
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EXERCISES - Section 3.1 1-6 I For each of the following functions and inter- val, find the average of the function on the interval. 1. f(x) = x² + 2x on [0,3] 2. g(x) = Vx on [1,9] 3. h(0) on [0, 1] = COS 4. k(x) = 1 on [=1,1] x² + 1 5. p(x) = x sin x² on [0, y7] 6. r(x) = x² Vx³ +1 on [0,2] 7. s(x) = xe* on [0, 2] 8. q(x) = x sin x on [0, ]
Transcribed Image Text:EXERCISES - Section 3.1 1-6 I For each of the following functions and inter- val, find the average of the function on the interval. 1. f(x) = x² + 2x on [0,3] 2. g(x) = Vx on [1,9] 3. h(0) on [0, 1] = COS 4. k(x) = 1 on [=1,1] x² + 1 5. p(x) = x sin x² on [0, y7] 6. r(x) = x² Vx³ +1 on [0,2] 7. s(x) = xe* on [0, 2] 8. q(x) = x sin x on [0, ]
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