13. [112 Points] DETAILS PREVIOUS ANSWERS SCALC9 14.6.037. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The temperature T in a metal ball is inversely proportional to the distance from the center of the ball, which we take to be the origin. The temperature at the point (1, 2, 2) is 180. (a) Find the rate of change of T at (1, 2, 2) in the direction toward the point (3, 4, 3). _ 8640 2N? X (b) Show that at any point in the ball the direction of greatest increase in temperature is given by a vector that points towards the origin. the increase would always be greatest in direction of gradient. Score: 1 out of 1 Comment: Need Help? _' _' 14. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALCS 14.4.501.XP.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find an equation of the tangent plane to the given surface at the specified point. z = 2(x 1)2 + 3(y + 3)2 + 6, (2, 1, 20) 4x+12y+24 X