a) estimate f(1,1) and f(3,2) and explain the estimation b) sketch a graph of the xy trace (in 3D)c) sketch a graph of the yz trace (in 3D) d) is the graph of f(x,y) a place? why? 1. Level curves for z = -4,-2,0, 2, and 4 of f(x, y) in the first quadrant, for 0≤x≤ 6 and 0 ≤ y ≤ 6 areshown in the figure below.yG4_Z=4IZ=2Z=0Z=-27=-4123456x

Answered: Level curves for z = -4, -2,0, 2, and 4…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section: Chapter Questions

Problem 53RE

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Question

a) estimate f(1,1) and f(3,2) and explain the estimation b) sketch a graph of the xy trace (in 3D) c) sketch a graph of the yz trace (in 3D) d) is the graph of f(x,y) a place? why?

1. Level curves for z = -4,-2,0, 2, and 4 of f(x, y) in the first quadrant, for 0≤x≤ 6 and 0 ≤ y ≤ 6 are
shown in the figure below.
y
G
4
_Z=4
I
Z=2
Z=0
Z=-2
7=-4
123456
x

Expert Solution

Step 1

Level curves for $z = - 4, - 2, 0, 2, 4$ of a function $f (x, y)$ in the first quadrant for, $0 \leq x \leq 6$ and $0 \leq y \leq 6$ are given below.

We need to estimate $f (1, 1)$ and $f (3, 2)$ .

Also we need to sketch of graph $x y$ and $y z$ trace.

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Level curves for z = -4, -2,0, 2, and 4 of f(x, y) in the first quadrant, for 0 ≤ x ≤ 6 and 0 ≤ y ≤ 6 are shown in the figure below. y 5 4 3 _z=4 I 근>2 2=0 · 근=-2 123456 =-4 x