Question

7 Olet f(x,y)= -(--) Cy-x)+2 a) sketch flx,y) b) Draw the level curves f(x, y) = for t=2, 10, 1-2 08 c) Compute f (33) what p

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Answer #1

We can plot these function in an application named "DESMOS" available on playstore as well as app store

Given equation is a form of circle.

For K= 2 , radius of this circle is 0 so,no plot can be formed

For K=1, radius is 1 .

For K=0,radius is 2

For K=-1 radius is 3

For K=-2 radius is 4

Plots are shown aa follows:

6 III -4 2 0 2 4 + » 1 x - (x - 2)2 – (y - 3)2 + 2 = 1 2 x ~ -(x - 2)2 – (y - 3)2 + 2 = -1 3. X -(x - 2)2 – (y-3)2 + 2 = -2 4

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