Explanation Given : ∫ 4 9 ∫ 2 y f ( x , y ) d x d y Calculation : Step 1: The limits of integration correspond to the inequalities describing the following shaded horizontally simple region: 4 ≤ y ≤ 9 , 2 ≤ x ≤ y Step 2: From the sketch of D in Step 1, we see that D can also be expressed as a vertically simple region. We first express the curve x = y in the form y = x 2

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 16.2, Problem 27E

To determine

The sketch of the domain of integration of $\int_{4}^{9} \int_{2}^{\sqrt{y}} f (x, y) d x d y$ and to express the integration as an iterated integral in the opposite order.

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Chapter 16.2, Problem 26E

Chapter 16.2, Problem 28E

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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 sketch of the domain of integration of ∫ 4 9 ∫ 2 y f ( x , y ) d x d y and to express the integration as an iterated integral in the opposite order.

Solution Summary: The author explains that D can be expressed as a vertically simple region by sketching the domain of integration and expressing it as an iterated integral.

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The sketch of the domain of integration of $\int_{4}^{9} \int_{2}^{\sqrt{y}} f (x, y) d x d y$ and to express the integration as an iterated integral in the opposite order.

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Chapter 16 Solutions

The sketch of the domain of integration of ∫ 4 9 ∫ 2 y f ( x , y ) d x d y and to express the integration as an iterated integral in the opposite order.

Solution Summary: The author explains that D can be expressed as a vertically simple region by sketching the domain of integration and expressing it as an iterated integral.

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The sketch of the domain of integration of ∫49∫2yf(x,y)dxdy and to express the integration as an iterated integral in the opposite order.

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Chapter 16 Solutions

The sketch of the domain of integration of $\int_{4}^{9} \int_{2}^{\sqrt{y}} f (x, y) d x d y$ and to express the integration as an iterated integral in the opposite order.