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Let f(x, y) = z²e²² and let R be the triangle bounded by the lines z = 5, z = y/3, and y = z in the zy- 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.) fRfdA=fff(z,y) dy dx where a 0 bm 5 3x And ff dA=fff(z,y) d where a = m = + f(x,y) d .cm n= C=X and q (b) Evaluate one of your integrals to find the value of ff dA. SRfdA- and dm

Let f(x, y) = z²e²² and let R be the triangle bounded by the lines z = 5, z = y/3, and y = z in the zy- 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.) fRfdA=fff(z,y) dy dx where a 0 bm 5 3x And ff dA=fff(z,y) d where a = m = + f(x,y) d .cm n= C=X and q (b) Evaluate one of your integrals to find the value of ff dA. SRfdA- and dm

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) = z²e²² and let R be the triangle bounded by the lines z = 5, z = y/3, and y = x in the zy- 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.) fRfdA=fff(z,y) dy dx where a = 0 b= 5 3x And fRfdA=fff(z,y) d where a = .771 and q == ,b= d + f(x,y) d .cm n= C= X (b) Evaluate one of your integrals to find the value of f f dA. SRfdA d p= and d=
Transcribed Image Text:Let f(x, y) = z²e²² and let R be the triangle bounded by the lines z = 5, z = y/3, and y = x in the zy- 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.) fRfdA=fff(z,y) dy dx where a = 0 b= 5 3x And fRfdA=fff(z,y) d where a = .771 and q == ,b= d + f(x,y) d .cm n= C= X (b) Evaluate one of your integrals to find the value of f f dA. SRfdA d p= and d=
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