Plot the point given in polar coordinates. (4) 57 0, 2r 3 3m 0, 2r 3 Find four additional polar representations of the point, using -27 < 0 < 27A. (Enter your answers in order from smallest to largest first by r-value,ti by O-value.) (, 0) - ( KIN KIN IN
Plot the point given in polar coordinates. (4) 57 0, 2r 3 3m 0, 2r 3 Find four additional polar representations of the point, using -27 < 0 < 27A. (Enter your answers in order from smallest to largest first by r-value,ti by O-value.) (, 0) - ( KIN KIN IN
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve plz ... please be alert that it says " enter your answers in orders from smallest to largest first by r value, then by theta value
![**Plot the Point Given in Polar Coordinates**
The point to be plotted is given in polar coordinates as \((4, \frac{5\pi}{2})\).
**Description of Graphs:**
1. **First Graph (Top Left):**
- The polar grid shows concentric circles with radius labels 1 through 5 and angle labels from 0 to \(2\pi\) in increments of \(\frac{\pi}{2}\).
- The point \((4, \frac{5\pi}{2})\) is plotted, which corresponds to a radius of 4 units and an angle of \(\frac{5\pi}{2}\).
2. **Second Graph (Top Right):**
- Similar to the first, with the point plotted at 4 units from the origin and \(0\) radians, which is equivalent to \(\frac{5\pi}{2}\) as angles wrap around every \(2\pi\).
3. **Third Graph (Bottom Left):**
- The point is plotted at a radius of 4 units and an angle of \(\frac{\pi}{2}\), which is equivalent by subtracting \(2\pi\) from \(\frac{5\pi}{2}\).
4. **Fourth Graph (Bottom Right):**
- Again, the point is plotted at 4 units from the origin and an angle of \(2\pi\).
**Exercise:**
Find four additional polar representations of the point, using \( -2\pi < \theta < 2\pi \). Enter your answers in order from smallest to largest first by \(r\)-value, then by \(\theta\)-value.
\[
(r, \theta) =
\]
- \(( \quad , \quad )\)
- \(( \quad , \quad )\)
- \(( \quad , \quad )\)
- \(( \quad , \quad )\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe6a27354-f783-4962-b110-f2b09bdc3789%2F54aacf59-b6ab-4787-bfa8-447ac3c93a21%2Fhcn8c9j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Plot the Point Given in Polar Coordinates**
The point to be plotted is given in polar coordinates as \((4, \frac{5\pi}{2})\).
**Description of Graphs:**
1. **First Graph (Top Left):**
- The polar grid shows concentric circles with radius labels 1 through 5 and angle labels from 0 to \(2\pi\) in increments of \(\frac{\pi}{2}\).
- The point \((4, \frac{5\pi}{2})\) is plotted, which corresponds to a radius of 4 units and an angle of \(\frac{5\pi}{2}\).
2. **Second Graph (Top Right):**
- Similar to the first, with the point plotted at 4 units from the origin and \(0\) radians, which is equivalent to \(\frac{5\pi}{2}\) as angles wrap around every \(2\pi\).
3. **Third Graph (Bottom Left):**
- The point is plotted at a radius of 4 units and an angle of \(\frac{\pi}{2}\), which is equivalent by subtracting \(2\pi\) from \(\frac{5\pi}{2}\).
4. **Fourth Graph (Bottom Right):**
- Again, the point is plotted at 4 units from the origin and an angle of \(2\pi\).
**Exercise:**
Find four additional polar representations of the point, using \( -2\pi < \theta < 2\pi \). Enter your answers in order from smallest to largest first by \(r\)-value, then by \(\theta\)-value.
\[
(r, \theta) =
\]
- \(( \quad , \quad )\)
- \(( \quad , \quad )\)
- \(( \quad , \quad )\)
- \(( \quad , \quad )\)
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