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Let f(x, y) = x²e²² and let R be the triangle bounded by the lines x = 4, x = y/2, and y = x in the xy-plane. (a) Express ff 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.) SR fdA= f f f(x,y) d where a = And fRf dA= f f f(x,y) d +SmS f(x,y) d d where a = ,C= m= ,b= ,p= ,b= d d , and d = ,d= ,n= , and q = (b) Evaluate one of your integrals to find the value of SR f dA. SR f dA=

Let f(x, y) = x²e²² and let R be the triangle bounded by the lines x = 4, x = y/2, and y = x in the xy-plane. (a) Express ff 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.) SR fdA= f f f(x,y) d where a = And fRf dA= f f f(x,y) d +SmS f(x,y) d d where a = ,C= m= ,b= ,p= ,b= d d , and d = ,d= ,n= , and q = (b) Evaluate one of your integrals to find the value of SR f dA. SR f dA=

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let f(x, y) = x²e² and let R be the triangle bounded by the lines x = 4, x = y/2, and y = x in the xy-plane. (a) Express SR 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.) JRf dA= f f f(x,y) d where a = , C = ,C= And fRf dA= f f f(x, y) d + Sm Sp f(x,y) d d where a = 1 m = ,b= ,p= = ,b= d d and d = ,d= n = , and q = (b) Evaluate one of your integrals to find the value of SR f dA. SR f dA=
Transcribed Image Text:Let f(x, y) = x²e² and let R be the triangle bounded by the lines x = 4, x = y/2, and y = x in the xy-plane. (a) Express SR 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.) JRf dA= f f f(x,y) d where a = , C = ,C= And fRf dA= f f f(x, y) d + Sm Sp f(x,y) d d where a = 1 m = ,b= ,p= = ,b= d d and d = ,d= n = , and q = (b) Evaluate one of your integrals to find the value of SR f dA. SR f dA=
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