In Exercises 1-6 you are given the parametric equations of a curve and a value for the parameter t. Find the coordinates of the point on the curve corresponding to the given value of t. 1. x = 24t, y = 3 - 5t; t = 0

Trigonometry (MindTap Course List)
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Author:Ron Larson
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Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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In Exercises 1-6 you are given the parametric equations of a
curve and a value for the parameter t. Find the coordinates of
the point on the curve corresponding to the given value of t.
-
1. x = 24t, y = 3 – 5t; t = 0
2. x = 3 - t², y = 4 + t³; t = −1
3. x = 5 cos t, y = 2 sin t; t = π/6
4 cos 2t, y = 6 sin 2t; t = π/3
5. x = 3 sin³ t, y = 3 cos³ t; t = π/4
4. x =
Transcribed Image Text:A In Exercises 1-6 you are given the parametric equations of a curve and a value for the parameter t. Find the coordinates of the point on the curve corresponding to the given value of t. - 1. x = 24t, y = 3 – 5t; t = 0 2. x = 3 - t², y = 4 + t³; t = −1 3. x = 5 cos t, y = 2 sin t; t = π/6 4 cos 2t, y = 6 sin 2t; t = π/3 5. x = 3 sin³ t, y = 3 cos³ t; t = π/4 4. x =
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