(a) Transform the integral to polar coordinates and calculate the integral. 1 dxdy Vi+x* +y° Apply the triple integration to calculate the volume of the solid G that is bounded above the hemisphere z = /25 – x² – y² , below by the xy-plane and laterally by the cylindrical x² +y² =9. (b) Given the function, f(x,y)=2x² – y' – 2xy Find all the critical points of function f(x,y) (c) (i) Activate Windows (ii) Differential each critical point whether as a local maximum, local minimum or saddle point Go to Settings to activate

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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Q6
(a)
Transform the integral to polar coordinates and calculate the integral.
و تا
1
dxdy
Vi+x?
+ y?
Apply the triple integration to calculate the volume of the solid G that is
bounded above the hemisphere
(b)
/25-x - y , below by the xy-plane
Z =
and laterally by the cylindrical x + y² =9.
Given the function, f(x, y)=2x² – y' –2xy
Find all the critical points of function f(x,y)
(c)
(i)
Activate Windows
Differential each critical point whether as a local maximum, local
minimum or saddle point
(ii)
Go to Settings to activate
Transcribed Image Text:Q6 (a) Transform the integral to polar coordinates and calculate the integral. و تا 1 dxdy Vi+x? + y? Apply the triple integration to calculate the volume of the solid G that is bounded above the hemisphere (b) /25-x - y , below by the xy-plane Z = and laterally by the cylindrical x + y² =9. Given the function, f(x, y)=2x² – y' –2xy Find all the critical points of function f(x,y) (c) (i) Activate Windows Differential each critical point whether as a local maximum, local minimum or saddle point (ii) Go to Settings to activate
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