Let g(x, y) = cos(x + 2y). (a) Evaluate g(2, -1). (b) Find the domain of g. (c) Find the range of g. 1. Find and sketch the domain of the function f(x, y) =sqrt(y-x^2)/(1-x^2) 2. Draw a contour map of the function f(x, y) = ye^-x showing several level curves. 3. Sketch both a contour map and a graph of the function f(x, y) = x^2 + 9y^2.

Not going to do (1), (2), (3) since they are implicit from (a) and (b) and require graphs (which aren't supported on ).

We have , that means, if plug in we get .

Doman of cosine is .

Hope this helps.

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation:

answer: you will have more water.