Temperature on a thin sheet of metal in the xy-plane is: 100(1 + 3x + 2y) T(x, y) = 1+ 2x² + 3y2 where x and y are in m and T is in degrees C. (a) What's the rate of change of T at (2, 4) in the direction towards the point (10, 10) ? (b) A bug is standing at the point (2, 4) and wants to travel in the direction where the temperature drops most rapidly. Find the direction (as a vector) in which the bug should travel. Also find the rate of change of the temperature in that

Temperature on a thin sheet of metal in the xy-plane is: 100(1 + 3x + 2y) T(x, y) = 1+ 2x² + 3y2 where x and y are in m and T is in degrees C. (a) What's the rate of change of T at (2, 4) in the direction towards the point (10, 10) ? (b) A bug is standing at the point (2, 4) and wants to travel in the direction where the temperature drops most rapidly. Find the direction (as a vector) in which the bug should travel. Also find the rate of change of the temperature in that

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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