The graph of /(x, y) = 2x + y2 is shown below. f(x, y) = 2x+y...

Question

Question

math calculus

Answer 1

Answer #1

Given,

f(x,y)=2x+y^2

a) The curve resulting from slicing the graph of fr, with the plane z=2 is a parabola.

This is because several slices of different z values result in the given function fr, .

b) The curve resulting from slicing the graph of fr, with the plane y=2 is a line.

This is because several slices of different y values results in slanting lines along the parabola.

c) The curve resulting from slicing the graph of fr, with the plane x=1 is a parabola.

This is because several slices of different x values such that x>0 results in getting a parabola.

Hence the answer.

Answer 2

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