Answered: Use the given transformation to…

Use the given transformation to evaluate the integral. R (12x+8y) dA, where R is the parallelogram with vertices (−3, 9), (3, −9), (5, −7), and (−1, 11); x = 1/4(u + v), y =1/4(v − 3u

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 35E: Determine the area of ABC if A=2,1,B=5,3,andC is the reflection of the B across the x-axis.

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Question

Use the given transformation to evaluate the integral. R (12x+8y) dA, where R is the parallelogram with vertices (−3, 9), (3, −9), (5, −7), and (−1, 11); x = 1/4(u + v), y =1/4(v − 3u)

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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