4. Suppose an xy-coordinate system is located in space such that the temperatureT at the point (x ; y) is given by T =00. Determine the gradient of T withx²+y2respect to the distance at the point P(1; 3), use the gradient to find the directionalderivative of T at P in the direction of a = i – j and then calculate the rate of changeof T in this direction.

Answered: Image /qna-images/answer/b09379e0-aaa3-42d4-8774-986d26b3aca1.jpg

Suppose an xy-coordinate system is located in space such that the temperature 100 T at the point (x; y) is given by T =: . Determine the gradient of T with x²+y? respect to the distance at the point P(1; 3), use the gradient to find the directional derivative of T at P in the direction of a = i - j and then calculate the rate of change of T in this direction.

Suppose an xy-coordinate system is located in space such that the temperature 100 T at the point (x; y) is given by T =: . Determine the gradient of T with x²+y? respect to the distance at the point P(1; 3), use the gradient to find the directional derivative of T at P in the direction of a = i - j and then calculate the rate of change of T in this direction.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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