Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give the inequalities that define S in polar coordinates. (3) Find the volume of S using double integral in polar coordinates. 2= x², x=-1 -√4-y², y ≤0, x = 0, z = 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Solid S is bounded by the given
surfaces. (1) Sketch S and label it with
its boundaries. (2) Give the
inequalities that define S in polar
coordinates. (3) Find the volume of S
using double integral in polar
coordinates.
z = x², x = -√√√4-y², y ≤0, x=0, z = 0.
Transcribed Image Text:Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give the inequalities that define S in polar coordinates. (3) Find the volume of S using double integral in polar coordinates. z = x², x = -√√√4-y², y ≤0, x=0, z = 0.
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