uestion 2. Find the maximum and minimum values of the function f(z,y) = res* the curve C, where C is the semi-circle formed by the top half of the circle x² + y² = 4, and the line y = 0 from = -2 to x = 2. -2 -1 Y 1 1 с 2 I

(ii) Make a contour plot of the function z(x, y) = -xy in the xy-plane, by drawing a collection of curves z(x, y) = c for different (positive and negative) values of the constant c. Try and sketch a graph of the function in the space of xyz coordinates (as a check you may want to compare that sketch with a computer/Python graph).

PLEASE PROVIDE TYPE SOLUTION

Find all smooth curves that intersect the curves x² = y + Cx at the right angle.