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Q1/ Use the chain rule to find and when z = tan- (=) X = u cos V, du dv y = u sin v at point (u, v)=(1.3, a/6).

Q1/ Use the chain rule to find and when z = tan- (=) X = u cos V, du dv y = u sin v at point (u, v)=(1.3, a/6).

Calculus: Early Transcendentals
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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Q1/ Use the chain rule to find and du when z = tan- X = u cos V, dv y = u sin v at point (u, v)=(1.3, n/6). Q2/ Consider a closed rectangular box with a square base as shown in the accompanying figure. If x is measured with error at most 2% and y is measured with error at most 3%, use a differential to estimate the corresponding percentage error in computing the box's (volume) y Q3/ Find the area of the region common to the interiors of the cardioids r = 1 + cos0 and r = 1 - cose. Q4/ Evaluate SS, xy dx dy where R is the region bounded by the x-axis, ordinate at x 2a and x2 = 4ay a²+y2 Q5/ Evaluate AN y/x? + y2 dxdy by changing into polar form Q6/ Find all the local maxima, local minima, and saddle points of the function f(x, y) = ex²+y²-4x %3D
Transcribed Image Text:Q1/ Use the chain rule to find and du when z = tan- X = u cos V, dv y = u sin v at point (u, v)=(1.3, n/6). Q2/ Consider a closed rectangular box with a square base as shown in the accompanying figure. If x is measured with error at most 2% and y is measured with error at most 3%, use a differential to estimate the corresponding percentage error in computing the box's (volume) y Q3/ Find the area of the region common to the interiors of the cardioids r = 1 + cos0 and r = 1 - cose. Q4/ Evaluate SS, xy dx dy where R is the region bounded by the x-axis, ordinate at x 2a and x2 = 4ay a²+y2 Q5/ Evaluate AN y/x? + y2 dxdy by changing into polar form Q6/ Find all the local maxima, local minima, and saddle points of the function f(x, y) = ex²+y²-4x %3D
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