Question

Consider the function $f(x, y) = 19 - x^2 - y^2$. Its graph on the domain \{$(x, y)$ | $-5 \le x \le 5 \land -5 \le y \le 5$\} is depicted below. Give an equation for the contour graph passing through the point $[\sqrt{2}, \sqrt{2}]$.

          Consider the function
$f(x, y) = 19 - x^2 - y^2$.
Its graph on the domain \{$(x, y)$ | $-5 \le x \le 5 \land -5 \le y \le 5$\} is depicted below.
Give an equation for the contour graph passing through the point $[\sqrt{2}, \sqrt{2}]$.

$Consider the function f(x, y) = 19 - x^2 - y^2. Its graph on the domain {(x, y) | -5 ≤ x ≤ 5 -5 ≤ y ≤ 5} is depicted below. Give an equation for the contour graph passing through the point [√(2), √(2)].$

Added by Natalie H.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Abigail Martyr

07/16/2020

Step 1

So, we need to find the value of f(x,y) at the point $[2\sqrt{2}, \sqrt{2}]$. Show more…

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Consider the function $$f(x,y) = 19 - x^2 - y^2.$$ Its graph on the domain $\{[x, y] | -5 \le x \le 5 \land -5 \le y \le 5\}$ is depicted below. Give an equation for the contour graph passing through the point $[2\sqrt{2}, \sqrt{2}]$.