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

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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.

\[
(r, \theta) =
\]

- \(( \quad , \quad )\)

- \(( \quad , \quad )\)

- \(( \quad , \quad )\)

- \(( \quad , \quad )\)
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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