Exercise 13.5.2 The temperature in a plane is given as T(3:, y) : 5+3e_(12+y2). An object is moving along the path 35' 2 cost, y = sin(2t). How fast is the temperature changing at t = g ? Exercis: 13.523 Find (1%: and 171: for w = u), given u 2 st, and then evaluate them for u) = u3 +3u, t: 1 an 3 : . Exercise 13.5.4 Find 98% and 21: for w = u), given it = .92 + t2, and then evaluate them for u) 2 u3+3u , t:1 and322. Exercise 13.5.8 The function y = y(x) is given implicitly using the equality: 3x2 - xy +xy- x+3y -5=0. Find da dy using the chain rule and implicit differentiation. Exercise 13.5.9 Differentiate 2xz2 + 23 - 4xy2 + 3xy + 4x =7 implicitly. Find the first partial derivates of z with respect to x and y