Suppose F (x, y) = (2xe-", 2y – a²e="} (a) Find a scalar function f (x, y) such that F = Vf (b) Use your answer to (a) to evaluate ' (x, y) · dr where C is any path from (0, 0) to (1, 2).

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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Please answer both parts a & b completely.

Suppose
F (x, y) = (2xe¬v, 2y – x²e¬")
(a) Find a scalar function f (x,y) such that
F = Vf
(b) Use your answer to (a) to evaluate
'(x, y) · dĩ
where C is any path from (0, 0) to (1, 2).
Transcribed Image Text:Suppose F (x, y) = (2xe¬v, 2y – x²e¬") (a) Find a scalar function f (x,y) such that F = Vf (b) Use your answer to (a) to evaluate '(x, y) · dĩ where C is any path from (0, 0) to (1, 2).
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