F- dr in the case when F(z,y) = (7y -sin (y) + 8) i+ (72 - cos (y))jis conservative, and Ais the Calculate w sin path gven by r(t) = (21 sin ()-- j for 0SISI Enter an exact answer and assume all trigonometric arguments are in radians.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
Problem 17EQ
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Calculate
F. dr in the case when F(x, y) = (7y – e" sin (y) +8)i+(7x – e² cos (y))j is conservative, and A is the
T sin (*)
path ghen by r() = (21sin ())i-(2 ore
2t sin
j for 0 <t <1.
Enter an exact answer and assume all trigonometric arguments are in radians.
Transcribed Image Text:Calculate F. dr in the case when F(x, y) = (7y – e" sin (y) +8)i+(7x – e² cos (y))j is conservative, and A is the T sin (*) path ghen by r() = (21sin ())i-(2 ore 2t sin j for 0 <t <1. Enter an exact answer and assume all trigonometric arguments are in radians.
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