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 + y², z = 0, y = √√/1-x², y=0, x ≤ 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
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please show full solution thankyou, if it is not possible to solve all three please answer the first question

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 + y², z = 0, y = √/1-x², y = 0, x ≤ 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. 2= x² + y², z = 0, y = √/1-x², y = 0, x ≤ 0.
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