Let the temperature T in a body be independent of z so that it is given by

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Let the temperature T in a body be independent of z so that it is given by a scalar function T = T(x, t). Identify the isotherms T(x, y) = const. Sketch some of them.

Sketch or graph isotherms of the following fields and describe what they look like.

(a) x2 - 4x - y2             (b) x2y - y3/3

(c) cos x sinh y          (d) sin x sinh y

(e) ex sin y                 (f) e2x cos 2y

(g) x4 - 6x2y2 + y    (h) x2 - 2x - y2

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