Let F(x, y, z) = z tan−¹(y²)i + z³ In(x² +9)j + zk. Find the flux of F across S, the part of the paraboloid x² + y² + z = 8 that lies above the plane z = 4 and is oriented upward. F. ds = 1.F.
Let F(x, y, z) = z tan−¹(y²)i + z³ In(x² +9)j + zk. Find the flux of F across S, the part of the paraboloid x² + y² + z = 8 that lies above the plane z = 4 and is oriented upward. F. ds = 1.F.
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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![Let F(x, y, z) = z tan−¹(y²)i + z³ In(x² + 9)j + zk. Find the flux of F across S, the part of the paraboloid x² + y² + z = 8 that lies above the plane z = 4 and is oriented upward.
F. ds =
11. [](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F681bcbe2-43d0-4e5c-bd13-0ee8c6c56af3%2F2a1e388f-d53d-48c7-acac-c1b9064d157d%2Fv1yk6rp_processed.png&w=3840&q=75)
Transcribed Image Text:Let F(x, y, z) = z tan−¹(y²)i + z³ In(x² + 9)j + zk. Find the flux of F across S, the part of the paraboloid x² + y² + z = 8 that lies above the plane z = 4 and is oriented upward.
F. ds =
11. [
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