a. To determine Find the area under y = x 3 over [ 0 , 1 ] at x = t 2 , y = t 6 . Explanation Given data: x = t 2 y = t 6 Calculation: Consider the expression to obtain an area under y = x 3 over [ 0 , 1 ] at x = t 2 , y = t 6 A = ∫ 0 1 y d x = ∫ 0 1 y d x d t d t Substitute t 2 for x and t 6 for y as follows. A = ∫ 0 1 t 6 d ( t 2 ) d t d t = < b. To determine Find the area under y = x 3 over [ 0 , 1 ] at x = t 3 , y = t 9 .

4th Edition

ISBN: 9780135910993

Author: Hass

Publisher: PEARSON

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Chapter 10.2, Problem 24E

To determine

Find the area under y=x3 over [0,1] at x=t2,y=t6.

To determine

Find the area under y=x3 over [0,1] at x=t3,y=t9.

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Chapter 10.2, Problem 23E

Chapter 10.2, Problem 25E

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