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Parametrize the intersection of the surfaces y² - z² = x-6, y² + z² = 25 using trigonometric functions. (Express numbers in exact form. Use symbolic notation and fractions where needed. Give the parametrization of the y variable in the form a cos (t).) x(t) = y(t) = z(t) = 11

Parametrize the intersection of the surfaces y² - z² = x-6, y² + z² = 25 using trigonometric functions. (Express numbers in exact form. Use symbolic notation and fractions where needed. Give the parametrization of the y variable in the form a cos (t).) x(t) = y(t) = z(t) = 11

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
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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**Problem Description:** Parametrize the intersection of the surfaces \(y^2 - z^2 = x - 6\) and \(y^2 + z^2 = 25\) using trigonometric functions. (Express numbers in exact form. Use symbolic notation and fractions where needed. Give the parameterization of the y variable in the form \(a \cos (t)\).) **Solution:** \[ x(t) = \_\_\_\_\_\_\_\_\_\_\_\_ \] \[ y(t) = \_\_\_\_\_\_\_\_\_\_\_\_ \] \[ z(t) = \_\_\_\_\_\_\_\_\_\_\_\_ \]
Transcribed Image Text:**Problem Description:** Parametrize the intersection of the surfaces \(y^2 - z^2 = x - 6\) and \(y^2 + z^2 = 25\) using trigonometric functions. (Express numbers in exact form. Use symbolic notation and fractions where needed. Give the parameterization of the y variable in the form \(a \cos (t)\).) **Solution:** \[ x(t) = \_\_\_\_\_\_\_\_\_\_\_\_ \] \[ y(t) = \_\_\_\_\_\_\_\_\_\_\_\_ \] \[ z(t) = \_\_\_\_\_\_\_\_\_\_\_\_ \]
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