a utexasinstructurecom Suppose the temperature (measured in F) in the elliptic ball W: {(w,:c,,z):m2 +41;2 +22 :4} is given by T(w,y,z) 2:32 2;r:+y2 zz+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(i) = (D,cos(t), 25in(t))a t E [0,27r]