The function **r(t) = 8i + 6 cos(t) j + 6 sin(t) k** traces a circle. Determine the radius, center, and plane containing the circle. *(Give your answer as equation of the plane in the form ax + by + cz = d.)* **Equation of the plane:** _[Text box for answer]_ *(Give your answer as point coordinates in the form (\*, \*, \*).)* **Coordinates of the center:** _[Text box for answer]_ *(Give your answer as a whole or exact number.)* **Radius:** _[Text box for answer]_

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 45E
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The function **r(t) = 8i + 6 cos(t) j + 6 sin(t) k** traces a circle. Determine the radius, center, and plane containing the circle.

*(Give your answer as equation of the plane in the form ax + by + cz = d.)*

**Equation of the plane:** 
_[Text box for answer]_

*(Give your answer as point coordinates in the form (\*, \*, \*).)*

**Coordinates of the center:** 
_[Text box for answer]_

*(Give your answer as a whole or exact number.)*

**Radius:** 
_[Text box for answer]_
Transcribed Image Text:The function **r(t) = 8i + 6 cos(t) j + 6 sin(t) k** traces a circle. Determine the radius, center, and plane containing the circle. *(Give your answer as equation of the plane in the form ax + by + cz = d.)* **Equation of the plane:** _[Text box for answer]_ *(Give your answer as point coordinates in the form (\*, \*, \*).)* **Coordinates of the center:** _[Text box for answer]_ *(Give your answer as a whole or exact number.)* **Radius:** _[Text box for answer]_
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