Group 1. Evaluate the volume of the "ice cream cone" bounded above by the sphere and below by the cone, z>0. Sketch a picture of the solid

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Worksheet 14.
Group
1. Evaluate the volume of the "ice cream cone" bounded
above by the sphere and below by the cone, with
z>0. Sketch a picture of the solid
2. Evaluate the triple integral of the function a) on the
cube [0,1]x[0,1]x[0,1] and b) The volume of the solid
bounded above by the plane z=x+y and below by the
plane z=-x-y with (x,y) in the square [0,1]x[0,1]
Transcribed Image Text:Worksheet 14. Group 1. Evaluate the volume of the "ice cream cone" bounded above by the sphere and below by the cone, with z>0. Sketch a picture of the solid 2. Evaluate the triple integral of the function a) on the cube [0,1]x[0,1]x[0,1] and b) The volume of the solid bounded above by the plane z=x+y and below by the plane z=-x-y with (x,y) in the square [0,1]x[0,1]
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