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10. Set up a double integral to find the volume under f(x, y) = x²+y2 ≤9,x≥0. Do not integrate. In(x²+y²) √√x²+y2 on the region 11. Given the vector field F(x, y, z) = yz cosxî+ (2y + z sinx)ĵ + (y sin x - 1)k, find the potential function if it exists; if not, explain why not.

10. Set up a double integral to find the volume under f(x, y) = x²+y2 ≤9,x≥0. Do not integrate. In(x²+y²) √√x²+y2 on the region 11. Given the vector field F(x, y, z) = yz cosxî+ (2y + z sinx)ĵ + (y sin x - 1)k, find the potential function if it exists; if not, explain why not.

Calculus: Early Transcendentals
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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10. Set up a double integral to find the volume under f(x, y) = x²+y2 ≤9,x≥0. Do not integrate. In(x²+y²) √√x²+y2 on the region 11. Given the vector field F(x, y, z) = yz cosxî+ (2y + z sinx)ĵ + (y sin x - 1)k, find the potential function if it exists; if not, explain why not.
Transcribed Image Text:10. Set up a double integral to find the volume under f(x, y) = x²+y2 ≤9,x≥0. Do not integrate. In(x²+y²) √√x²+y2 on the region 11. Given the vector field F(x, y, z) = yz cosxî+ (2y + z sinx)ĵ + (y sin x - 1)k, find the potential function if it exists; if not, explain why not.
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