Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= 8 cos 0 + 6 sin 0 Write the Cartesian equation. www. Describe the curve. Select the correct choice below and, if necessary, fill in any answer box(es) to complete your choice. OA. The curve is a vertical line with x-intercept at the point (Type exact answers, using radicals as needed.) OB. The curve is a cardioid with symmetry about the y-axis. OC. The curve is a circle centered at the point with radius (Type exact answers, using radicals as needed.) OD. The curve is a horizontal line with y-intercept at the point (Type exact answers, using radicals as needed.) OE. The curve is a cardioid with symmetry about the x-axis.
Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= 8 cos 0 + 6 sin 0 Write the Cartesian equation. www. Describe the curve. Select the correct choice below and, if necessary, fill in any answer box(es) to complete your choice. OA. The curve is a vertical line with x-intercept at the point (Type exact answers, using radicals as needed.) OB. The curve is a cardioid with symmetry about the y-axis. OC. The curve is a circle centered at the point with radius (Type exact answers, using radicals as needed.) OD. The curve is a horizontal line with y-intercept at the point (Type exact answers, using radicals as needed.) OE. The curve is a cardioid with symmetry about the x-axis.
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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Please fill in the blank and answer both questions
![**Convert the following equation to Cartesian coordinates. Describe the resulting curve.**
\[ r = -8 \cos \theta + 6 \sin \theta \]
---
**Write the Cartesian equation.**
\[ \Box \]
---
**Describe the curve. Select the correct choice below and, if necessary, fill in any answer box(es) to complete your choice.**
- **A.** The curve is a vertical line with x-intercept at the point \[\Box\]
(Type exact answers, using radicals as needed.)
- **B.** The curve is a cardioid with symmetry about the y-axis.
- **C.** The curve is a circle centered at the point \[\Box\] with radius \[\Box\]
(Type exact answers, using radicals as needed.)
- **D.** The curve is a horizontal line with y-intercept at the point \[\Box\]
(Type exact answers, using radicals as needed.)
- **E.** The curve is a cardioid with symmetry about the x-axis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a78d5b2-575e-45ed-ac42-396a164136d1%2F999a0acc-a042-4135-9131-b6735b237395%2Fpckw0t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Convert the following equation to Cartesian coordinates. Describe the resulting curve.**
\[ r = -8 \cos \theta + 6 \sin \theta \]
---
**Write the Cartesian equation.**
\[ \Box \]
---
**Describe the curve. Select the correct choice below and, if necessary, fill in any answer box(es) to complete your choice.**
- **A.** The curve is a vertical line with x-intercept at the point \[\Box\]
(Type exact answers, using radicals as needed.)
- **B.** The curve is a cardioid with symmetry about the y-axis.
- **C.** The curve is a circle centered at the point \[\Box\] with radius \[\Box\]
(Type exact answers, using radicals as needed.)
- **D.** The curve is a horizontal line with y-intercept at the point \[\Box\]
(Type exact answers, using radicals as needed.)
- **E.** The curve is a cardioid with symmetry about the x-axis.
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