F(x, y) = (4ry³ + 3)i+ (6x²y² + 2e²w)j is conservative by finding a potential function f for F, and use f to compute F. dr, where C is the curve given by r(t) = (2 sin³ t)i+ 2t sin*(5t) ) j for 0

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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if f(x,y) = 2(x^2)(y^3) + 3x + e^(2y)

what is the line integral of F * dr

hint: F and r(t) are in the attached image

F(x, y) = (4ry³ + 3)i+ (6x²y² + 2e²w)j
is conservative by finding a potential function f for F, and use f to compute
F. dr, where C is the curve given by
r(t) = (2 sin³ t)i+
2t
sin*(5t) ) j
for 0 <t < T/2.
Transcribed Image Text:F(x, y) = (4ry³ + 3)i+ (6x²y² + 2e²w)j is conservative by finding a potential function f for F, and use f to compute F. dr, where C is the curve given by r(t) = (2 sin³ t)i+ 2t sin*(5t) ) j for 0 <t < T/2.
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