Match the polar equation with the graphs labeled I-VI. Use the table to help you. = sin(30) ---Select--- II D. III IV 3 V VI

Q: Convert the rectangular equation to a polar equation that expresses r in terms of 0. ²=5y (Type an…

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Q: 4- The equivalent of Cartesian equation (x + = 1) in polar equationis:

A: Given: Cartesian equation:   To determine: equivalent polar equation.

Q: Change the polar equation 2r = 2 + cos 0.(2r - 1) to Cartesian equation

A: Given polar equation: 2r=2+cosθ·2r-1

Q: Convert the rectangular equation to a polar equation. Express r in terms of 0. 6x+y =7 (Type an…

A: 6x+y=7

Q: Given the rectangular equation, x^2+(y-2)^2 = 4, describe the graph (shape,size,location) and then…

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Q: Sketch the graph of polar equation.Be sure to test for symmetry. r = 3 sin θ

A: Solution:Given          r= 3 sin θTo sketch the graph of polar equation test for symmetry

Q: Determine the 3 rectangular equations of the tangent lines at the indicated points (black dots)on…

A: the given polar equation is ; r=2cos(3θ)

Q: Sketch a graph of the polar equation and find the tangent lines at the pole. r=4sin3(theta)

A: First, we will plot r=4 sin3θ with the help of an online calculator.

Q: Plot the point that has the given polar coordinates. (-2, - ) 4

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Q: Find the equation in polar coordinates of the line through the origin with slope 1/2.

A: Given: Polar coordinates of the line through the origin with slope 1/2.

Q: how to convert this into rectangular equation from polar equation? r=4cosα

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Q: What is a polar equation?

A: Polar equation is an equation that gives the relationship between r and θ, where r is the distance…

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: Convert the rectangular equation to a polar equation that expresses r in terms of 0. y = 19x (Type…

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

Q: Convert the rectangular equation to a polar equation that expresses r in terms of 0 x= 19 r= (Type…

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Q: Find the lengths of the curves given by the polar coordinate equations r = -1 + cos θ

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Q: 4) (1, 150°) 120° 150° 180° 210⁰ 240 90° 270⁰ 60° 2 3 300⁰ 30° 4 330⁰ Ꭴ

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Q: Find the equation in polar coordinates of the line through the origin with the slope 1/5 .

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Q: Test for symmetry and then graph polar equation r = 2 + 2 cos θ.

A: Given polar equation is r=2+2cosθ. (i) Check for symmetry about the line θ=π2. Replace r,θ with…

Q: 4 Convert the equation from polar to cartesian. r = 3 – 2 sin 0

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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: Now calculate the second part of the polar coordinate. What is the distance from the origin to…

A: consider the given points, 0,0 and 5,-5 draw the points on the coordinates axis as follows, the…

Q: Graph the rectangular equation (x+3)^2+y^2=9 and then choose one point to start with rectangular…

A: We need to graph the rectangular equation: x+32+y2=9 We know that, x-h2+y-k2=r2 is the equation of…

Q: Determine two pairs of polar coordinates for the point with 0°\< theta < 360: (3,-

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Q: 1. Convert from a rectangular equation to a polar equation. X-y= 10

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Q: Write the equations that are used to express a point withCartesian coordinates (x, y) in polar…

A: To convert Cartesian coordinates x,y in polar coordinates. In polar coordinates point is given r,θ.…

Q: Convert the polar equation r sin (θ - π/4) = 2 to a rectangular equation. Then determine the graph’s…

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Q: Convert polar equation r=cos3 θ to cartesian equation

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

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Q: 4. Sketch the curve with the polar equation r=3-4cos(theta). Show your work by creating a table of…

A: We will make a table first θ (r,θ) 0 (-1,0) 45 (0.17,45) 90 (3,90) 135 (5.83,135) 180…

Q: Find the slope of the polar curve at the indicated point. r = 4/theta , θ = 3π (with all the steps…

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Q: Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the…

A: In polar coordinates we have: x=r cos(θ)   and   y=r sin(θ)    ⇒    θ=tan-1yx

Q: Match the polar equation with the graphs labeled I-VI. Use the table to help you. r = 1 + 2 cos(0)…

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Q: Convert the rectangular equation to a polar equation that expresses r in terms of 0. X= 11 (Type an…

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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: Of a circle of radius "a" whose center is point (1,-1).Write the equation in Polar Coordinates.…

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Q: Find a polar equation that has the same graph as the equation in x and y.y = 2

A: To convert the given equation to polar form: y=2 Solution: We know rectangular coordinates (x,y) and…

Q: 2. Convert Polar Equation to Rectangular Equation. 1 r = sin 0 – cos 0

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

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Q: Test for symmetry and then graph polar equation r = 2 + 3 sin 2θ.

A: r=2+3sin2θ Replace r, θ with -r, -θ, we get -r=2+3sin2-θ⇒-r=2-3sin2θ⇒r=-2+3sin2θ Which is not same…

Q: Find a polar equation that has the same graph as the equation in x and y.2y = -x

A: Given, 2y = -x To evaluate polar equation that has the same graph as the equation in x and y.

Q: 4. Convert the polar equation to a rectangular equation. 3

A: We have to convert the polar equation to a rectangular equation.

Q: Given the rectangular (Cartesian) equation (x+3)^2+y^2=9, describe the graph of this equation in…

A: Given: x+32 +y2 = 9---------------------------------Aim:To covert the given equation into polar…