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A) f(x, y) = x - 3y. Sketch 4 level curves of f(x, y). B) Evaluate the following limit or show that it does not exist: 9xy lim (x,y) (0,0) 5x² + 3y². C) Write a function f(x, y) such that the domain of f(x, y) is D = {(xv) | x² > 25-v²} Also 2

A) f(x, y) = x - 3y. Sketch 4 level curves of f(x, y). B) Evaluate the following limit or show that it does not exist: 9xy lim (x,y) (0,0) 5x² + 3y². C) Write a function f(x, y) such that the domain of f(x, y) is D = {(xv) | x² > 25-v²} Also 2

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 1CR
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I added the rules which you have to use solving this problem Needed to be solved all parts correctly in 30 minutes and get the thumbs up please show me neat and clean work for it by hand solution needed
(2) A) ƒ(x, y) = x² – 3y. Sketch 4 level curves of f(x, y). B) Evaluate the following limit or show that it does not exist: 9xy lim (x,y) (0,0) 5x² + 3y² C) Write a function f(x, y) such that the domain of f(x, y) is D = {(x, y) | x² ≥ 25 - y²}. Also provide a sketch for the domain.
Transcribed Image Text:(2) A) ƒ(x, y) = x² – 3y. Sketch 4 level curves of f(x, y). B) Evaluate the following limit or show that it does not exist: 9xy lim (x,y) (0,0) 5x² + 3y² C) Write a function f(x, y) such that the domain of f(x, y) is D = {(x, y) | x² ≥ 25 - y²}. Also provide a sketch for the domain.
14.5 The Chain Rule- The Chain Rule Case 1 If Z= P(x₁y) is a function and x= g(t) and y=h(t) then: # dt Əz dx az dy dy dt ax dt 14.5 The Chain Rule- The Chain Rule Case 2 If Z=Rk₁y) and X=g(s, t) and y=h (s, t) then: dz as DE at az ox ax as + E Əz Əy ay as az ax az dy ax at ay at
Transcribed Image Text:14.5 The Chain Rule- The Chain Rule Case 1 If Z= P(x₁y) is a function and x= g(t) and y=h(t) then: # dt Əz dx az dy dy dt ax dt 14.5 The Chain Rule- The Chain Rule Case 2 If Z=Rk₁y) and X=g(s, t) and y=h (s, t) then: dz as DE at az ox ax as + E Əz Əy ay as az ax az dy ax at ay at
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