For a positive real number a, the graph of which of thefollowing polar equations is a circle with radius a and centerat (a, 0) in rectangular coordinates?(a) r = 2a sin θ (b) r = - 2a sin θ(c) r = 2a cos θ (d) r = - 2a cos θ

Q: Find Cartesian equations for the circles. Sketcheach circle in the coordinate plane and label it…

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Q: Consider the polar equation r = 4 cos(0) – 13 sin(0). (a) Convert the given polar equation to a…

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Q: Find polar equations for the circle. Sketch eachcircle in the coordinate plane and label it with…

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Q: Graph the polar equation and the related sinusoid. Label the tick marks on the axes of the sinusoid…

A: Given- r=6cos 3θ To Graph- The polar equation and the related sinusoid. Label the tick marks on the…

Q: The curve whose equation in polar coordinates is given by r -4 sin(@) is a circle with its center…

A: I am going to solve the given problem first by converting in to the cartesian form and then…

Q: You are given a polar equation and its graph. Use the equation to determine polar coordinates of the…

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Q: 17–22 - Polar to Rectangular Sketch a graph of the polar equa- tion, and express the equation in…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: r = 4 sin 0 – 2 cos e by finding a Cartesian equation of the curve. Find a polar equation for the…

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Q: (a) Find parametric equations of the portion of the circle of radius 2, centered at (1, 2), joining…

A: Result: The parametric equation of circle centered at h, k with radius r oriented counterclockwise…

Q: The rectangular coordinates of a point are (-3 square root of 2/ 2, 3 square root of 2/ 2) Find the…

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Q: Find Cartesian equations for the circles. Sketcheach circle in the coordinate plane and label it…

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Q: 18. Identify and graph the polar equation. r=4-2 cos 0 What shape does the polar equation form when…

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Q: Find the polar coordinates for the point whose rectangular coordinates are (-6, -8). Given the polar…

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Q: Find Cartesian equations for the circles. Sketcheach circle in the coordinate plane and label it…

A: r = 2√2 cos θ We need to find Cartesian equations for the circles. Sketchthe circle in the…

Q: A point is graphed in rectangular form. Find polar coordinates for the point, withr>0 and 0 se< 2x.…

A: to find:- polar coordinates.

Q: In polar coordinates, a polar function exists by the name of strophoid, with equation r = sec 0 – 2…

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Q: Match the polar equation with the graphs labeled I-VI. Use the table to help you. r = 3 cos 0…

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Q: Match the polar equation with the graphs labeled I-VI. Use the table to help you. r = 3 cos 0…

A: Given, r=3cosθ

Q: A point is graphed in rectangular form. Find polar coordinates for the point, with r> 0 and 0 s0 <…

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Q: Test the polar equation for symmetry with respect to the polar axis, the pole, and the line delta=…

A: Tests for symmetry: 1) Replace θ with -θ. If an equivalent equation results, the graph is symmetric…

Q: r = cos 0 O r = sin 0.

A: Given :-  The graphs of  r = cos θ r = sin θ 3θ = 0 , π6 , π4 , π3 , π2

Q: You are given a polar equation and its graph. Use the equation to determine polar coordinates of the…

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Q: A circle C has center at the origin and radius 9. Another circle K has a diameter with one end at…

A: Equation of a circle whose center (h, k) and radius is r is, x-h2+y-k2=r2

Q: A point is graphed in rectangular form. Find polar coordinates for the point, with r> 0 and 0 s 0 <…

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Q: Qi: Use all the steps of drawing a curve with polar coordinates to draw the shape of the equation r=…

A: We have to find the property of the given polar equation first.

Q: Match the polar equation with the graphs labeled I-VI. Use the table to help you. r = 2 + 2 sin(0)…

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Q: r = cos(0/7) %3D

A: Given,    r=cosθ7

Q: Find polar equations for the circle. Sketch eachcircle in the coordinate plane and label it with…

A: Cartesian (x, y) to polar r, θ coordinates: x=rcosθy=rsinθ

Q: A point is graphed in rectangular form. Find polar coordinates for the point, with r > 0 and 0 <0 <…

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Q: How do you graph the polar curve r = 5 cos 0? Drag an equation, variable, or phrase into each box to…

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Q: 10. Consider the Cartesian point (-2,-2). Determine the polar coordinates of this point.

A: Use cartesian to polar coordinate

Q: Find Cartesian equations for the circles. Sketcheach circle in the coordinate plane and label it…

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Q: 1. Find the Cartesian equation for the circle r = 3 V3 sin 0. Sketch the circle in the coordinate…

A: According to question,Given polar equation of circle,r = 33 sin θ

Q: 3 2. Consider the polar equation r = 2 cos 0-sin 0 a. Convert this to a rectangular equation (show…

A: According to company rule we can answer only first three sub parts and rest can be reposted.

Q: a) Show that the polar equation r = a sin 0 + b cos 0, where ab # 0, represents a circle. Find its…

A: (a) The given polar equation of circle is - r=asinθ+bcosθ We need to find its center and radius . We…

Q: In polar coordinates, a polar function exists by the name of strophoid, with equation r = sec 0 – 2…

A: Given, In Polar coordinates, a polar function exists by the name of strophoid, with equation…

Q: Consider the polar curve cos 0- sin 6 osos a) What happens when e approaches ? b) Convert the polar…

A: Given,       r=1cosθ-sinθ, 0≤θ≤π4

Q: 5 cos 0 and use this Cartesian equation to 5. Find a Cartesian equation for the polar curve r =…

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Q: A point is graphed in rectangular form. Find polar coordinates for the point, with r> 0 and 0 ≤ 0 <…

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Q: atch the polar equations (a), (b), and (c) with their respective curves from (i), (ii), and (iii)…

A: a) r=-1+2sin(θ) table for the polar coordinate θ r (r,θ) 0 1 (0,1) π2 1 π2,1 π -1 (π,-1)…

Q: a) A curve has the parametric equations given as x = 4+2 cose y = -2+3sin 0. i) Convert the…

A: Given, x=4+2cos θ,  y=-2+3sin θ By solving these two equations for cos θ and sin θ, x=4+2cos θ⇒cos…

Q: Consider the polar equation r= a cos(8) + b sin(8). (a) Express the equation in rectangular…

A: Given: The polar equation, r = a cos(θ) + b sin(θ) To find: Center and radius.

Q: A point is graphed in rectangular form. Find polar coordinates for the point, with r> 0 and 0 s 0<…

A: Given points is in 2nd quadrant , r&gt;0 and 0≤θ&lt;2π We have to find point in polar coordinate…

Q: 3) Given the point P whose polar coordinates are (-2,) a) Plot the point P. b) Find the exact…

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Q: Prove that the polar equation of a planet's elliptical orbit is (1 – e²)a e cos 0' where e is the…

A: Given: eccentricity of the ellipse is e. length of major axis is 2a. let the equation of ellipse…

Q: A point is graphed in rectangular form. Find polar coordinates for the point, with r> 0 and 0s 0 <…

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Q: A circle C has center at the origin and radius 3. Another circle K has a diameter with one end at…

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Q: 1. A point is located in a polar coordinate system by the coordinatesr= 6.71 m and 0 = 26°. Find the…

A: Given data is: r=6.71 mθ=26∘ To find the x-coordinate and the y-coordinate.

Q: 7. The Cartesian coordinates of a point are (x,y), while its polar coordinates are (r,0). Determine…

A: Please see the answer in Step 2