If xs2 + yt2 = 1, and x2s + y2t = xy − 4, find ∂x/∂s, ∂x/∂t, ∂y/∂s, ∂y/∂t at (x, y, s, t) = (1, −3, 2, −1).Hint: do the derivatives first before inserting numerical values.
If xs2 + yt2 = 1, and x2s + y2t = xy − 4, find ∂x/∂s, ∂x/∂t, ∂y/∂s, ∂y/∂t at (x, y, s, t) = (1, −3, 2, −1).Hint: do the derivatives first before inserting numerical values.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Question
If xs2 + yt2 = 1, and x
2
s + y
2
t = xy − 4, find ∂x/∂s, ∂x/∂t, ∂y/∂s, ∂y/∂t at (x, y, s, t) = (1, −3, 2, −1).
Hint: do the derivatives first before inserting numerical values.
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