Convert the following polar equations to rectangular equations and sketch the polar curves. i) r= 3(1+ sin 0) ii) rsec 0 =8

Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) r= 6…

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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 following polar equation to the Cartesian. Describe the resulting curve. r = 2 sin 0+2…

A: Here we will convert the given polar equation in cartesian form and we will describe the curve,

Q: B] Convert the following equation from polar to Cartesian coordinates: p² = 5 tan(8) - sec(6)

A: We have to solve given problem:

Q: 2. Convert the polar equation r = cot 0 csc 0 to rectangular form and sketch its graph.

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Q: Replace the following polar equation by equivalent Cartesian equation: r * cos(theta - pi/3) = 3

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Q: Convert the polar equation to rectangular form and sketch its graph. r = 7 sin(0)

A: x=rcosθ y=rsinθ

Q: Convert the given polar equation to a Cartesian equation. (Use the following as necessary: x and y.)…

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Q: C) Replace the following polar equation by equivalent Cartesian equation. rsine Inr + In cose %3D

A: We can replace the given polar equation by equivalent Cartesian equation as below.

Q: Convert the polar equation r = sin u to an equivalent rectangular equation.

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Q: 2. Convert the polar equation to rectangular form. Simplify your answer r?sec 0 = r?tan?0 sece -…

A: To convert the polar equation into rectangular form.

Q: In converting r = 5 from a polar equation to a rectangular equation, describe what should be done to…

A: Given: r=5

Q: Replace the polar equation r= 8 cos 0+6 sin 0 with an equivalent Cartesian equation. Then identify…

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Q: Convert the polar equation 4 cos 0 to Cartesian coordinates. Describe the curve. r =

A: We will convert the given polar equation into cartesian curve.

Q: 2. Convert the polar equation to rectangular form. Simplify your answer p?sec @ = r?tan'0 sec 0 –…

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Q: In converting r = sinθ from a polar equation to a rectangular equation, describe what should be done…

A: r2=x2+y2x=r cosθy=r sinθ

Q: Convert the polar equation to rectar r = 2 – cos(0)

A: topic - conversion of polar equation to rectangular equation

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: Replace the polar equation r2 sin 20 = 2 with equivalent Carte sian equation %3D

A: Given, The polar equation  r2sin2θ = 2    We have to write the equivalent cartesian equation.

Q: Which of the following polar equations represents a cardiod or heart- shaped curve? r = 4 cos 20…

A: Here given polar equations  r= 4 cos 2θ ......(1) r= 3+3 cos θ .......(2), r= 2 cos 2θ .......(3) r=…

Q: 2. Convert the polar equation to rectangular form. Simplify your answer r2sec30 = r?tan?0 sec 0 –…

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Q: r = 2sec(0)tan(0)

A: Any point in the rectangular coordinate system is represented as . Any point in the polar…

Q: Replace the following polar equation by equivalent cartesian equation: r= 2 cos(theta) + 2…

A: See the attachment

Q: Replace the given polar equation by equivalent Cartesian equation i. r2 + 2r2 cos 0 sin 0 = 1. r = 4…

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Q: Replace the polar equation r2 sin 20 = 2 with equivalent Carte sian equation

A: Solution   Let a general point P in polar coordinate is (r,θ) while in Cartesian it is (x,y) while…

Q: Replace the polar equation given with its equivalent Cartesian form and describe the graph. a) r…

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Q: Replace the polar equation r2 sin 20 2 with equivalent Carte sian equation

A: Given : r2sin2θ=2 We know that x=rcosθ, y=rsinθ and also sin2θ=2cosθsinθ.

Q: Given polar equation is r= 1- cos 0

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Q: Complete the table of coordinates below. Where necessary,round to two decimal places. Then plot the…

A: we use the trigonometric values for cosθ to find out the coordinate r for each θ .

Q: Replace the polar equation with an equivalent Cartesian equation. r= 40 sin 0

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Q: Convert the polar equation to rectangular form. 4 r = 1 + sin 0

A: Convert the polar equation to rectangular form

Q: Replace the polar equation with an equivalent Cartesian equation.  7r cos θ + 9r sin θ = 1

A: Answer is mentioned below

Q: Use the table of values and plotting points in polar grid, graph the polar equation

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Q: Use a calculating utility, to approximate the polar coordinates of the points whose rectangular…

A: This question is from calculus.

Q: Sketch the polar curve with the given equation - -3 sin 8, OA OB. oc OD. OE

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Q: Convert the given polar equation into an equation in terms of Cartesian coordinates.

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Q: H.W: replace the following polar equations by equivalent Cartesian equation, then describe or…

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Q: Convert the polar equation  r = −4 sec θ to rectangular form and sketch its graph.

A: We have the given polar coordinate r=-4secθ We know that the relation between rectangular and polar…

Q: 5. Convert the polar equationr= cot 0 csc 60 to rectangular form.

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

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

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

Q: Show that the polar equation r = a sin θ + b cos θ where ab ≠ 0 represents a circle, and find its…

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Q: Convert the polar equation r cot 0 csc 0 to rectangular form.

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

Q: Given the polar equation r2 sin20 = 8, find an equivalent Cartesian equation.

A: Given the polar equation r2 sin 2θ = 8

Q: Convert the following Polar equation to Cartesian coordinates and identify the curve. 2 r = 3 cos(0)…

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Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) r= 8…

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Q: Use a calculator to complete the table of coordinates. Where necessary, round to two decimal places.…

A: Complete the table: Evaluate r for given value of θ: θ r=4sin2θ 0 r=4sin0=0 π6…