Find fx(8, 0) and fy(8, 0) and interpret these numbers as slopes for the following equation. 1. f( x, y) = sqrt(537-x^2-4y^2)
2. fx(8, 0) =
3. fy(8, 0) =
Illustrate with either hand-drawn sketches or computer plots. (Do this on paper. Your instructor may ask you to turn in this work.)

  and  

Step-by-step explanation:

Given that:

The objective is to determine

Let determine the partial derivative of the function f with respect to x and y, differentiate partially with respect to x. we have:

Thus,

Differentiate partially with respect to y, we have:

Thus,

Now, substitute 8 for x and o for y into the function

Also, substitute 8 for x and 0 for y into the function

Therefore,   and  

step-by-step explanation: