Applications of Calculus a) Let Q be equation of a circle of radius r and passing through two points 2(-a,0) and (a, 0) where a # 0, then find the extremum of the quadratic form P(x, y) = x2 + 3y subject to the constraint Q. (4) b) Write a code snippet in a language of your choice to find the mimimum of f(x, y) = ar + By using the gradient descent algorithm starting with the point (To, yo). The stopping criteria could be taken as that step when the difference in the successive f values is less than a given e or the maximum iteration number K is reached. (3) c) if x, y, z are the angles of a triangle, find the extremum of (2) f(x, y, z) = sin x sin y sin 2z