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Let f(x, y) lines x = = 3, x = y/2, and y = x in the xy-plane. (a) Express SÅ ƒ 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.) d x C = X b SR f dA = få fd f(x, y) dy where a = 0 = And SR f dA + Smf f(x,y) d where a = C = ²e and let R be the triangle bounded by th = .b So fd f(x, y) d x d " " b and d = n = d and q = = " = 3 | 2x , b = dy , m = p = (b) Evaluate one of your integrals to find the value of f f dA. SR f dA= "

Let f(x, y) lines x = = 3, x = y/2, and y = x in the xy-plane. (a) Express SÅ ƒ 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.) d x C = X b SR f dA = få fd f(x, y) dy where a = 0 = And SR f dA + Smf f(x,y) d where a = C = ²e and let R be the triangle bounded by th = .b So fd f(x, y) d x d " " b and d = n = d and q = = " = 3 | 2x , b = dy , m = p = (b) Evaluate one of your integrals to find the value of f f dA. SR f dA= "

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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lines x = ₁, Let f(x, y) = x² e² and let R be the triangle bounded by the = 3, x = y/2, and y = x in the xy-plane. R (a) Express f 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.) b SR f dA = få få f(x, y) dy where a = 0 C = C = X d And f₁ f dA = Så få f(x, y) d x + Sm S f (x, y) d d where a = 2 n = and d = = d = " and q = d x b= = b= || 3 2x dy , m = , p = (b) Evaluate one of your integrals to find the value of f f dA. SR fdA=
Transcribed Image Text:lines x = ₁, Let f(x, y) = x² e² and let R be the triangle bounded by the = 3, x = y/2, and y = x in the xy-plane. R (a) Express f 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.) b SR f dA = få få f(x, y) dy where a = 0 C = C = X d And f₁ f dA = Så få f(x, y) d x + Sm S f (x, y) d d where a = 2 n = and d = = d = " and q = d x b= = b= || 3 2x dy , m = , p = (b) Evaluate one of your integrals to find the value of f f dA. SR fdA=
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