Explanation Given info. The region W is bounded by the surfaces z = 1 − y 2 , x = 0 and z = 0 , z + x = 3 . Concept used: Draw the 3 − D view of plane then identify the bounded region and find out the limit of variable. Calculation: From this figure, it becomes clear that Variable z varies from z = 0 to z = 1 − y 2 Take projection of this region on x y plane. Projection of plane z = 1 − y 2 on x − y plane is given by putting z = 0 . 1 − y 2 = 0 y = ± 1 z + x = 3 , projection of this on x y plane is x = 3 ...

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 16.3, Problem 33E

To determine

Draw the region W and then setup but do not compute a single triple integral that yields the volume $(V)$ .

The region W is bounded by the surfaces given by $z = 1 - y^{2}, x = 0 and z = 0, z + x = 3$ .

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Chapter 16.3, Problem 32E

Chapter 16.3, Problem 34E

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Chapter 16 Solutions

Calculus - Standalone book

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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Draw the region W and then setup but do not compute a single triple integral that yields the volume ( V ) . The region W is bounded by the surfaces given by z = 1 − y 2 , x = 0 and z = 0 , z + x = 3 .

Solution Summary: The author explains that the region W is bounded by the surfaces given by z = 1 y 2, x = 0 and

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Draw the region W and then setup but do not compute a single triple integral that yields the volume $(V)$ .

The region W is bounded by the surfaces given by $z = 1 - y^{2}, x = 0 and z = 0, z + x = 3$ .

Want to see the full answer?

Chapter 16 Solutions

Draw the region W and then setup but do not compute a single triple integral that yields the volume ( V ) . The region W is bounded by the surfaces given by z = 1 − y 2 , x = 0 and z = 0 , z + x = 3 .

Solution Summary: The author explains that the region W is bounded by the surfaces given by z = 1 y 2, x = 0 and

Videos

Draw the region W and then setup but do not compute a single triple integral that yields the volume (V). The region W is bounded by the surfaces given by z=1−y2,x=0 and z=0,z+x=3.

Want to see the full answer?

Chapter 16 Solutions

Draw the region W and then setup but do not compute a single triple integral that yields the volume $(V)$ .

The region W is bounded by the surfaces given by $z = 1 - y^{2}, x = 0 and z = 0, z + x = 3$ .