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]_
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]_
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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]_](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd370dc10-a80b-4ff7-aff7-eb45807dd9a9%2F8e59653f-ce8b-45cb-9cc9-22442faffe3c%2Fb9lg62d_processed.png&w=3840&q=75)
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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