A metal plate is situated in the xy-plane and occupies the rectangle 0 x 10,

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A metal plate is situated in the xy-plane and occupies the rectangle 0 ≤ x ≤ 10, 0 ≤ y ≤ 8, where x and y are measured in meters. The temperature at the point (x, y) in the plate is T(x, y), where T is measured in degrees Celsius. Temperatures at equally spaced points were measured and recorded in the table.

(a) Estimate the values of the partial derivatives Tx(6, 4) and Ty(6, 4). What are the units?

(b) Estimate the value of Du T(6, 4), where u = (i + j)/√2 . Interpret your result.

(c) Estimate the value of Txys6, 4d.

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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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