Use hyperbolic functions to parametrize the intersection of the surfaces x² - y2 = 25 and z = 5xy. (Use symbolic notation and fractions where needed. Use hyperbolic cosine for parametrization x variable.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use hyperbolic functions to parametrize the intersection of the surfaces x² - y² = 25 and z = 5xy.
(Use symbolic notation and fractions where needed. Use hyperbolic cosine for parametrization x variable.)
x(t) = 5 cos (ht)
Incorrect
y(t) =
Incorrect
z(t) =
Incorrect
5 sin (ht)
(125 sin(h (2t)))
2
Transcribed Image Text:Use hyperbolic functions to parametrize the intersection of the surfaces x² - y² = 25 and z = 5xy. (Use symbolic notation and fractions where needed. Use hyperbolic cosine for parametrization x variable.) x(t) = 5 cos (ht) Incorrect y(t) = Incorrect z(t) = Incorrect 5 sin (ht) (125 sin(h (2t))) 2
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