For b (a)Show that the limitx*ycosylim(xy)-(0.0) 2x* +y²does not exist.(b)If u =x cosy+ ye», where x = s+21 and y= sr, prove thatnedu-2) (siny- ye" -e").(c)Let f(x,y) = (x + (3))', Determine the directional derivative of f at the point(1,0) in the direction of i = ).

Answered: Image /qna-images/answer/b2f70b2d-3fcb-47f3-9536-038739f66302.jpg

Answered: (b) If u =x cosy+ ye», where x=s+2 and…

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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(b) If u =x cosy+ ye», where x=s+2 and y= st, prove that 2- ds du - (s - 21) (* siny-xye -e").