Thefigure shows level curves of a function f(x, y).(a) Draw gradient vectors at Q and T. Is Vf(Q) longerthan, shorter than, or the same length as Vf(T)?longer than(b) If C is the line segment from P to Q, thenSos.CVf.dr -9(c) If C is any piecewise-smooth path from P to T to Q,thenlosCVf.dr = -9(d) If C is any piecewise-smooth path from S to P, then[vf.dr = [9](e) If C is any piecewise-smooth closed path from P to Qto T to S to P, thenJaVf.dr = 0123(Click on graph to enlarge)273339X

Answered: Image /qna-images/answer/0c6c55b5-ea36-4848-bdd1-75a4e20c0a01.jpg

The figure shows level curves of a function f(x, y). (a) Draw gradient vectors at Q and T. Is Vf(Q) longer than, shorter than, or the same length as Vf(T)? longer than (b) If C is the line segment from P to Q, then Ja Vf.dr -9 C (c) If C is any piecewise-smooth path from P to T to Q, then So C Vf.dr = -9 (d) If C is any piecewise-smooth path from S to P, then So Vf.dr = 9 (e) If C is any piecewise-smooth closed path from P to Q to T to S to P, then 10 C Vf.dr = 0 1 2 3 (Click on graph to enlarge) 27 33 39 X

The figure shows level curves of a function f(x, y). (a) Draw gradient vectors at Q and T. Is Vf(Q) longer than, shorter than, or the same length as Vf(T)? longer than (b) If C is the line segment from P to Q, then Ja Vf.dr -9 C (c) If C is any piecewise-smooth path from P to T to Q, then So C Vf.dr = -9 (d) If C is any piecewise-smooth path from S to P, then So Vf.dr = 9 (e) If C is any piecewise-smooth closed path from P to Q to T to S to P, then 10 C Vf.dr = 0 1 2 3 (Click on graph to enlarge) 27 33 39 X

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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