Suppose the temperature (measured in F) in the elliptic ball W: {(x,y,z):x2 +432 +32 S4} is given by T(w,y,z) 211:2 2:.r:+y2 z2+70. (a) What is the shape of the region W? What inequality describes the interior of W? What equality describes the boundary of W? (b) Find the critical points of T that are located in the interior of W, and use the second derivative test to classify them. (c) Consider the meridional curve C on W given by the parametrization C(t) = (O,cos(t), 25mm): t E [0,291]