(a) Express u/x, u/y, and u/z as functions of x, y, and z both by using the...
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(a) Express ∂u/∂x, ∂u/∂y, and ∂u/∂z as functions of x, y, and z both by using the Chain Rule and by expressing u directly in terms of x, y, and z before differentiating. Then
(b) Evaluate ∂u/∂x, ∂u/∂y, and ∂u/∂z at the given point (x, y, z).
Transcribed Image Text:
-1 u = ear sin ¹ p, p = sin x, q = z² In y, (x, y, z) = (π/4, 1/2, -1/2) In y, r = 1/z;
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a Using the Chain Rule ux ur rx u x uz zx uy ur ry u y uz zy uz ur rz u z uz zz Expressing u dir...View the full answer
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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