Find an equation for the level curve of the function f(x,y) that passes through the given point.f(x,y)=81-4x²- 4y², (2√2.√2) 22Find an equation for the level surface of the function f(x,y,z)=√√x+√x² + y² +2² through the given point (-√10,- 2,√2).

Answered: Find an equation for the level curve of…

Find an equation for the level curve of the function f(x,y) that passes through the given point. (2√2. √2) 2 f(x,y)=81-4x²-4y²,

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

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Question

Find an equation for the level curve of the function f(x,y) that passes through the given point.
f(x,y)=81-4x²
- 4y², (2√2.√2)

2
2
Find an equation for the level surface of the function f(x,y,z)=√√x+
√x² + y² +2² through the given point (-√10,- 2,√2).

Expert Solution

Step 1

$a c c o r d i n g t o b a r t l e b y g u i d e l i n e w e d o o n l y f i r s t p a r t o f m u l t i p l e . t h e r e f o r p l e a s e r e - p o s t o t h e r p a r t s i n n e x t q u e s t i o n (1) f (x, y) = 81 - 4 x^{2} - 4 y^{2}, p a s \sin g t h r o u g h t (2 \sqrt{2}, \sqrt{2})$