Answered: Write an integral that represents the…

Write an integral that represents the area of the surface generated by revolving the curve about the x-axis. Parametric Equations Interval x = 2t2, y = 3 (t)(1/2) 1 ≤ t ≤ 3

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter12: Angle Relationships And Transformations

Section: Chapter Questions

Problem 3CR

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Question

Write an integral that represents the area of the surface generated by revolving the curve about the x-axis.

Parametric Equations	Interval
x = 2t², y = 3 (t)^(1/2)	1 ≤ t ≤ 3

Use a graphing utility to approximate the integral. (Round your answer to three decimal places.)

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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