5) Identify the curve a Cartesian equation for the curve given in polar coordinates by r = 4sin 6 by finding

Q: (4. ) The rectangular coordinates for the polar points [4, is

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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: 9. Draw the polar curve defined by r = 4 - 2 cos 30. 10. Convert the polar equation to rectangular…

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for you. If…

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: Find an equation in x and y that has the same graph as the polar equation r- sin 0 = 0 and graph on…

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Q: Find a polar equation for the curve represented by the given Cartesian equation. x2 + y2 = 2cx

A: Polar equation for the curve represented by the given cartesian equation x2+y2=2cx is r=2c cosθ The…

Q: 7. Given the polar curve r? = cos 20, Find the points where the tangent lines are horizontal and…

A: The given question can be solved as shown in step2.

Q: Find the polar equation of x = - y? and identify its graph.

A: Given, curve x = -y2To find the polar equation, we will replace x with rcosθ and y with rsinθ in the…

Q: Find a polar equation for the curve represented by the Cartesian equation: x^2 - y^2 = 4

A: The Cartesian equation for the variables x and y are,

Q: Find a polar equation for the curve represented by the given Cartesian equatic y = 4

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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: Sketch the curve with the given polar equation by first sketching the graph of r as a function of 0…

A: This is a graph problem

Q: Find a polar equation for the curve represented by the given Cartesian equation. x2+y2=100

A: Here given cartesian equation  x2+y2=102 it is an equation of the circle with radius 10.

Q: 29-46 Sketch the curve with the given polar equation by first sketching the graph of r as a function…

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Q: (4) a) Verify that the polar coordinates satisfy the equation r = 4 sin360. b) Sketch a graph of the…

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Q: Sketch a graph of the polar equation and find the tangents at the pole. r = 3cos2θ

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Q: 13) Sketch the graph of the polar equation r = 2. Label two points. %23

A: It's equation of circle. So I'm providing hand written solution for better understanding.

Q: Sketch the curve with the given polar equation by first sketching the graph of r as a function of e…

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Q: Find a Cartesian equation for the curve represented by polar equation . r = 14 cos 0- 12 sin 0.

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Q: Find an equation in x and y that has the same graph as the polar equation r-sin 0 =0 and graph on…

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Q: 11.Convert the polar equation to rectangular form and sketch its graph. r= 4sine

A: In the question, it is mentioned to convert polar equation to rectangular form.

Q: 4. Write down the name of the conic given by the polar curve r = 15/( 2 sine). Determine the…

A: Given the polar curve is r=153+2sinθ

Q: Sketch the graph of the polar equation.θ = π/4

A: We  have to plot the graph of the polar equation θ=π4.

Q: Sketch the curve with the given polar equation, and find its Cartesian equation. 1 1-cos e

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Q: Graph the polar equation. r= -4 sin 0 Part 1 of 2 Plot six points satisfying the polar equation r=…

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Q: 6. Find a Cartesian equation for the polar curve and describe its shape: r= 3csce

A: The given equation,              r=3 cscθ

Q: B: Find the Cartesian coordinates for the point (6,7) in polar coordinate

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Q: Identify the polar curve r = csc 0 by finding a Cartesian equation.

A: The given curve is r=csc θ.

Q: Find a polar equation for the curve represented by the given Cartesian equation. x² + y2 = 16

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Q: Find a polar equation for the curve represented by the given Cartesian equation

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

A:

Q: Sketch the curve r-4 sin 30 with the given polar equation by: first sketching the graph of as a…

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Q: Find a polar equation for the curve represented by the given Cartesian equation. ху %3D 1

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Q: Find a polar equation for the curve represented by the given Cartesian equation.

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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: Find the length of the curve in the picture given in polar form.

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Q: Find a polar equation for the curve represented by the given Cartesian equation y = 7

A: Given cartesian equation of the curve is  We will use the following substitution to convert…

Q: Find a polar equation for the curve represented by the given Cartesian equation. x2 + y2 = 10cx

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Q: 1. Transform the polar equation 4 cos 0 cos² 0 + 1 into its Cartesian form and identify the curve.

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Q: 8. the same graph as the polar equation r-6cos0 =0 and graph on the xy plane. Find an equation in x…

A: The given polar equation is r-6cosθ=0 The equation in x and y is to be calculated and graphed in the…

Q: find a polar equation for the curve represented by the given cartesian equation y=2

A: Solution Given The given cartesian equation is  y=2. We need to find the polar equation.

Q: Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

A: We have to sketch the graph of the polar equation using symmetry, zeros, maximum r- values, and any…

Q: polar equation for the curve represented by the given cartesian equation  x2 =7y

A:

Q: Sketch the curve with the given polar equation by first sketching the graph of r as a function of θ…

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Q: Sketch the curve with the given polar equation, and find its Cartesian equation. 2 =-4 sin 20 %3D y

A: We are given the polar equation . Let us plot the figure.

Q: 7. What is the equation of the curve in rectangular coordinates whose equation in polar coordinates…

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Q: 3) Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

A: r=3 sin 3θ.

Q: 10. Sketch the curve of the polar equation r = 2 sin 0 . Find a rectangular equation for this curve.

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Q: Find the exact length of the polar curve. 6sin(0)

A: The polar curve r=6 sin(θ) ; 0≤θ≤π6