Please help me find the value of z.

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Work Shown:

Plug (x,y) = (3,2) into the F(x,y) function

Next, find the gradient and plug in (x,y) = (3,2)

This means,

As a way to help check, note how plugging (x,y) = (3,2) into the last equation for z leads to z = 34. This helps confirm that we have the correct equation because the point (3,2,34) must be on F(x,y) and also on z since the plane is tangent to the F(x,y) curve at this point.

function 2 has a greater rate of change than function 1

function 2 has a greater y-intercept than function 1

step-by-step explanation:

the first option i believe

step-by-step explanation: