Let f(x, y) = xex²-y and P = (3,9).(a) Calculate || Vƒp||.(b) Find the rate of change of f in the direction Vfp.(c) Find the rate of change of f in the direction of a vector making an angle of 45° with Vfp.

Answered: Image /qna-images/answer/e19b9220-7948-4980-ad46-5ae6de081062.jpg

Answered: Let ƒ(x, y) = xex²−y and P = (3,9). (a)…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 25E

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Let ƒ(x, y) = xex²−y and P = (3,9). (a) Calculate || Vfp||. (b) Find the rate of change of f in the direction Vfp. (c) Find the rate of change of f in the direction of a vector making an angle of 45° with Vfp.