Let f(x, y) = x²e and let R be the triangle bounded by the lines x = 3, x y/2, and y : = x in the xy-plane. 6. (a) Express R f dA as a double integral in two different ways by filling in the values for the integrals below. (For one of these it will be necessary to write the double integral as a sum of two integrals, as indicated; for the other, it can be written as a single integral.) Sz f dA = S f(z, y) d where a = , 6 = and d And Sr f dA = S f(x, y) d + S S" f(x, y) d d where a = , b = d = т — and q (b) Evaluate one of your integrals to find the value of R f dA. SR f dA =

Let f(x, y) = x²e and let R be the triangle bounded by the lines x = 3, x y/2, and y : = x in the xy-plane. 6. (a) Express R f dA as a double integral in two different ways by filling in the values for the integrals below. (For one of these it will be necessary to write the double integral as a sum of two integrals, as indicated; for the other, it can be written as a single integral.) Sz f dA = S f(z, y) d where a = , 6 = and d And Sr f dA = S f(x, y) d + S S" f(x, y) d d where a = , b = d = т — and q (b) Evaluate one of your integrals to find the value of R f dA. SR f dA =

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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