3. given f(x, y) = x - y^2, (a) sketch the following level curves of f(x, y) on the xy-plane: f(x, y) = 0,1,2,-1,-2. (b) find vf(3,-1). (c) in which direction does f have the maximum rate of change at (3,-1)? what is the maximum rate of change?

Which point lies on a circle with a radius of 5 units and center at p(6, 1)?

Write as a product: ac^2–ad+c^3–cd–bc^2+bd

Apolygon is shown on the graph: a polygon is shown on the coordinate plane. vertices are located at 3 comma 5, 1 comma 3, 1 comma 1, 2 comma 0, 4 comma 0, 5 comma 1, and 5 comma 3. what effect will a translation 3 units down and 2 units left have on the polygon? be sure to address how it could impact the angles, side lengths, and congruency between the original pre-image and the image. xd i need