What is the isogonal trajectories family of curves x² - y² = a which intersects at an angle of ∅ = arctan (1/2) ?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 45E
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What is the isogonal trajectories family of curves x² - y² = a which intersects at an angle of ∅ = arctan (1/2) ?

What is the isogonal trajectories of the family of curves x² - y² = a which intersects at an angle of
Ꮎ ;
= arctan (1) ?
x² - y² + xy = C
y = Cx²
O
O A
x² - 2xy + y² = C
x² - 2y² + 3xy = C
OB
O D
Transcribed Image Text:What is the isogonal trajectories of the family of curves x² - y² = a which intersects at an angle of Ꮎ ; = arctan (1) ? x² - y² + xy = C y = Cx² O O A x² - 2xy + y² = C x² - 2y² + 3xy = C OB O D
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