Explanation Given : f ( x , y ) = e x 2 , the triangle indicated in the given figure Calculation : Step 1: The equations of the lines OA and OB are y = 3 4 x and y = 1 4 x respectively. Therefore, the triangle may be expressed as a vertically simple region by the following inequalities: 0 ≤ x ≤ 4 , x 4 ≤ y ≤ 3 x 4 Step 2: The double integral f ( x , y ) = e x 2 over the triangle is the following iterated integral: ∫ 0 4

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ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 16.2, Problem 39E

To determine

The value of the double integral $f (x, y) = e^{x^{2}}$ over the triangle indicated in the given figure (A).

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Chapter 16.2, Problem 38E

Chapter 16.2, Problem 40E

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In Exercises 1-6, evaluate the integral using the Integration by Parts formula with the given choice of u and d v. j x sinxdx; u = x, d v = sin x dx

Chapter 16 Solutions

CALCULUS (CLOTH)

Ch. 16.1 - Prob. 1PQ Ch. 16.1 - Prob. 2PQ Ch. 16.1 - Prob. 3PQ Ch. 16.1 - Prob. 4PQ Ch. 16.1 - Prob. 5PQ Ch. 16.1 - Prob. 6PQ Ch. 16.1 - Prob. 1E Ch. 16.1 - Prob. 2E Ch. 16.1 - Prob. 3E Ch. 16.1 - Prob. 4E

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The value of the double integral f ( x , y ) = e x 2 over the triangle indicated in the given figure (A).

Solution Summary: The author explains the value of the double integral f (x, y) = e x 2 over the triangle indicated in the given figure.

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The value of the double integral $f (x, y) = e^{x^{2}}$ over the triangle indicated in the given figure (A).

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Chapter 16 Solutions

The value of the double integral f ( x , y ) = e x 2 over the triangle indicated in the given figure (A).

Solution Summary: The author explains the value of the double integral f (x, y) = e x 2 over the triangle indicated in the given figure.

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The value of the double integral f(x,y)=ex2 over the triangle indicated in the given figure (A).

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Chapter 16 Solutions

The value of the double integral $f (x, y) = e^{x^{2}}$ over the triangle indicated in the given figure (A).