Question 5 Please scroll down and try to answer all parts until you get to "END OF THIS QUESTION". 4 points Suppose that the temperature ?' in a certain region of space is given by T(z, y, z) = re-y sin(2xz). Syntax advice for part (a) and part (b): Your solution should be entered as a vector in Maple syntax and all entries should be entered as exact values. 26 For example, if your answer is 91 , then you should enter (a) Your classmate Jaipreet wishes to calculate VT = grad T at the point P(1, 0, 1/4). Help Jaipreet by giving your answer in the box below. VT = (b) Jaipreet also wants to find an outward-pointing normal vector n at P to the surface S where S : 15 2 16 + 24= 3-2 Help Jaipreet by giving your answer in the box below. n = (c) Jaipreet would like you to combine what you found in parts (a) and (b) to find the rate of change of the temperature with respect to distance at the point P in the direction of n. Enter your response in exact form. Answer = END OF THIS