Problem #4: The temperature at a point (x, y) on a rectangular metal plate is given by 100 T(x, y) 6x +y (a) Find the rate of change of T at the point (3, 4) in the direction of the vector (-3,-4) (b) At the point (3, 4), find a unit vector in the direction in which the temperature increases the fastest. (c) What is the maximum rate of change of T at the point (3, 4)?

Problem #4: The temperature at a point (x, y) on a rectangular metal plate is given by 100 T(x, y) 6x +y (a) Find the rate of change of T at the point (3, 4) in the direction of the vector (-3,-4) (b) At the point (3, 4), find a unit vector in the direction in which the temperature increases the fastest. (c) What is the maximum rate of change of T at the point (3, 4)?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter1: Getting Started

Section: Chapter Questions

Problem 48PQ: In 2011, artist Hans-Peter Feldmann covered the walls of a gallery at the New York Guggenheim Museum...

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