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7. Evaluate the line integral f, F· dr where F(x,y, z) = x³i – y²j+ zk and C is the x2 + 2xy + y² over the region boundary of the upward oriented surface z = x² + y? < 1.

7. Evaluate the line integral f, F· dr where F(x,y, z) = x³i – y²j+ zk and C is the x2 + 2xy + y² over the region boundary of the upward oriented surface z = x² + y? < 1.

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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7. Evaluate the line integral f. F dr where F(x, y, z) = x³i – y²j+ zk and C is the boundary of the upward oriented surface z = x² + 2xy + y² over the region x² + y² < 1.
Transcribed Image Text:7. Evaluate the line integral f. F dr where F(x, y, z) = x³i – y²j+ zk and C is the boundary of the upward oriented surface z = x² + 2xy + y² over the region x² + y² < 1.
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