multivariable calculus 5. (a) Sketch a few level curves of the following functions.(ii) f(x,y)=(i) f(x, y)=y-x(b) Use the level curves of f(x, y) = Va² -x -y² , where a > 0, tosketch the graph of f.

We have given equation of curve, we need to sketch level curves.

Answered: Sketch a few level curves of the…

Sketch a few level curves of the following functions. (i) f(x, y)=y-x (ii) f(x,y)= Use the level curves of f(x, y)=Ja² –x² -y , where a > 0, to sketch the graph of f.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 59E

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Question

multivariable calculus

5. (a) Sketch a few level curves of the following functions.
(ii) f(x,y)=
(i) f(x, y)=y-x
(b) Use the level curves of f(x, y) = Va² -x -y² , where a > 0, to
sketch the graph of f.

Study of calculus in one variable to multiple variables. The typical operations involved in multivariate calculus are limits and continuity, partial differentiation, and multiple integration. Major applications are in regression analysis, in finance by quantitative analysis, in engineering and social science to study and build high dimensional systems and exhibit deterministic nature.

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