4. 5. A curve is called an isogonal trajectoiy or an x trajectory of family f(x, y, c) - 0 if Calculate isogonal trajectories intersecting the family of curves y= Ce under an angle of radians. y - In(y + 1) = -x + c It intersects only one member of the family at an angle a x + In(x - 1 ) = x +c It intersects least one member of the family at an angle a. y + In ( y - 1 ) = x + c It intersects every member of the family at an angle a y = In (x- 1) +c ,It intersects either none of the members of the family or every member of the family at an angle a

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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4.
5.
Calculate isogonal trajectories intersecting the family of curves y = Ce* under an angle of radians.
A curve is called an isogonal trajectoiy or an x trajectory of family f(x, y, c) = 0 if
ㅇ
y - In(y + 1) = -x + c
It intersects only one member of the family at an angle a
It intersects at least one member of the family at an angle a.
x + In(x - 1) = x + c
It intersects every member of the family at an angle a
y + In ( y - 1 ) = x + c
y = In (x- 1) + c
It intersects either none of the members of the family or every member of the family at an angle a
Transcribed Image Text:4. 5. Calculate isogonal trajectories intersecting the family of curves y = Ce* under an angle of radians. A curve is called an isogonal trajectoiy or an x trajectory of family f(x, y, c) = 0 if ㅇ y - In(y + 1) = -x + c It intersects only one member of the family at an angle a It intersects at least one member of the family at an angle a. x + In(x - 1) = x + c It intersects every member of the family at an angle a y + In ( y - 1 ) = x + c y = In (x- 1) + c It intersects either none of the members of the family or every member of the family at an angle a
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