(a) Express z/u and z/ as functions of u and both by using the Chain Rule...
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(a) Express ∂z/∂u and ∂z/∂ν as functions of u and ν both by using the Chain Rule and by expressing z directly in terms of u and ν before differentiating. Then
(b) Evaluate ∂z/∂u and ∂z/∂y at the given point (u, ν).
Transcribed Image Text:
z = tan¹ (x/y), X = U COS U, (u, v) = (1.3, π/6) y = u sin v:
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a Using the chain rule we have zu zxxu zyyu z zxx zyy We have zx 11xy2 1y2 xy2 xx2 y22 ...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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