i = r(1 – r²)(4 – p²), Ô = 2 – r².

Q: C) = (x² + y² – 1) Hint: You can write this in polar coordinates and then solve for 0(t) and r(t)…

A: Write the coefficient of the equation in terms of polar coordinates: Write, x=rcosθ, y=sinθ. Then,…

Q: Convert the polar equation r2 = -2 sin 20 to a Cartesian equation. O +y? = 2 xy O12+)² = -4 xy…

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

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Q: Rewrite the Cartesian equation r = 7y as a polar equation. r(0) =

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Q: Rewrite the Cartesian equation y=3x^2 as a polar equation r(θ)= ?

A: We know that, x= r cosθ y= r sinθ

Q: 1. Convert the rectangular equation r2 + y? – 2ax = 0 to polar form and sket ch its grap %3D

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Q: Convert the Cartesian equation x² + y² + 3x = 0 to a polar equation. r² = = -3 cos 0 r= 3 cose r= -3…

A: Given x2+y2+3x=0To find polar equation:

Q: Express the given equations in polar coordinates (а) х%3D3 (b) x² + y = 7 (c) x² + y² +6y = 0 (d)…

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Q: convert the cartesian equation to a polar equation x2+y2+2x-4y=0

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Q: Replace the Cartesian equation with an equivalent polar equation. x² + y² - 4x=0 O A. r cos²0=4 sin…

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Q: H.W 1-Replace the polar equations with equivalent Cartesian equations. 312 7]. r = csc Oer r cose…

A: Given that  r=cscthetae^(rcostheta) To convert the polar coordinates into Cartesian equation

Q: Replace the polar equation with an equivalent Cartesian equation. r² = 44r cos 0 (x-22)² + y²-0…

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Q: Convert the Cartesian equation x 2 + y 2 = 36 to a polar equation. r = 6

A: Topic = Circle

Q: Replace the Cartesian equation xy =2 with the equivalent Polar equation.

A:

Q: Rewrite the Cartesian equation (x-6)² + y² = = 36 as a polar equation. r(0) =

A: Given (x-6)2+y2=36To find polar equation:

Q: 5. Consider the point with rectangular coordinates (1, – V3 ). sState the coordinates of the point…

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Q: (2. -) an he perch TC Plot the points with polar coordinates (-5, 2n) and 2, using the pencil. 7C 2n…

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Q: Convert the glven polar equation into a Cartesian equation. =D3sin 0+4cos ở

A: Given below equation r = 3sinθ + 4cosθConvert this into a Cartesian equation.We know that the…

Q: Write a polar equation of the form r cos(0 – 0,) = ro for the line x + y = v2.

A: Given line, x+y=2

Q: One of the following represents the point with Cartesian coordinates (V3, -1)in terms of polar…

A: NOTE: Refresh your page if you can't see any equations. . the radius is given by

Q: Rewrite the Cartesian equation 5x + 8y = 6 as a polar equation. %3D r(0) = Enter theta for 0 if…

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Q: Transform the rectangular equation y = - 8 to a polar equation in T and 0.

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Q: 3. RK 2 %3D Write the equation in polar form: x + y = 225

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Q: convert to an equation in polar coordinates of the form r = f (θ ).  e√x2+y2 = 1

A: Here given as ex2+y2=1orx2+y2=log 1x2+y2=0squaring both sidex2+y2=0

Q: Convert the rectangular coordinates to polar coordinates with r>0 and 0 <e< 2n. (9v3, -9)

A: The objective is to convert the rectangular coordinate to polar coordinate .

Q: Find the polar coordinates of the point with r> 0 and 0 se s 2n. (r, 8) = 2 2 3 4 5

A: Major the distance from origine and angle made from horizontal line by the given point.

Q: 13n Match the point in polar coordinates 2, to the points A, B, C, or D. 4

A: Here simple we satisfy angle property

Q: Convert the polar equation, r – 6r cos(0) + 9 = 16 into rectangular (Cartesian) coordinates.

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Q: Find polar equation for the Cartesian equation 20y = 6x. %3D a. theta = 1.28 b. theta = 0.29 O c.r =…

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Q: H.W 2-Replace the Cartesian equations with equivalent polar equations. 2]. 3]. 5]. x -y = 3 81.

A:

Q: Q5/ Change the polar equation 2r = 2 + cos 0.(2r-1) to Cartesian equation Ans./y²-3x² - 4x-1=0

A: To find- Change the polar equation 2r = 2 + cosθ·2r - 1 to Cartesian equation.

Q: (b) Convert the polar equation, r – 6r cos(0) + 9 = 16 into rectangular (Cartesian) coordinates. %3D

A:

Q: Q1// Converting r= 12 cos 0 from polar to the equation of a circle?

A: Solution is given below:

Q: Q1// Converting r= 12 cos 0 r = 12 cos 0 from polar to the equation of a circle?

A: Given problem:- Converting r = 12cos(θ) from polar to the equation of a circle?

Q: The alternative polar coordinates that satisfies r 0 for

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Q: Q1/ A// 1- Plot the Point in polar coordinates: (2, 8t/3) 2- Convert from polar to rectangular…

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Q: Write a polar equation of the form r cos(0 – 0,) = ro for the line x - y = v2. %3D

A:

Q: Express the given equations in polar coordinates. (a) x² + y² + 6y = 0 (b) 16ху — 2

A: To express the given equations in polar coordinates. (a). Given equation is x2+y2+6y=0. In…

Q: Find the polar coordinates of the point with r > 0 and 0 < 0 < 2n. (r, 0) = 0.5 1.5 2.5 3.5

A: Topic- polar coordinate

Q: b, The polar equation for the curve whose rectangular(cartesian)equation xy32 is: (a)rcosesine = 4 4…

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Q: Convert the rectangular equation x² + y² – 2x = 0 to polar form. Have your equation begin with “r ="…

A: Explained below

Q: Replace the Cartesian equation with an equivalent polar equation. 2 =D1 25 + 4 The equivalent polar…

A: The given cartesian equation is: x24+y225=1

Q: Find the polar equation of the line y = 3x + 9 in terms of r and ?.

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Q: Plot the points with polar coordinates 2, TC and -6, using the pencil. 4 2n 3 3 4 6. 2. 4. 7n 11n 6.…

A: Given : (2, -π/2) and (-6, 7π/4)

Q: Convert x2 + y2 = 49 to an equation in polar coordinates in terms of r and 0.

A:

Q: Replace the Cartesian equation with an equivalent polar equation. xy = 1

A: Consider the equation  xy=1

Q: 3. Change (r+1)²+y² = 1 to an equiv- alent polar equation

A: GIVEN (x+1)2+y2=1

Q: Find the polar coordinates of the point with r> 0 and 0 < 0 < 2n. (r, 0) = 2 2 3 4

A: From the Figure it is clear that the value of r is 4 because it lies on the fourth circle.

Q: onvert the given Cartesian equation to a polar equation. (Use the following as necessary: r and 0.)…

A: Explanation and solutions is given below.....

Q: Find the length of the polar curve r = 5°; 0 <e< 2n

A: Given ,r=5θdifferentiate w.r.t.θdrdθ=5θ.ln(5)Weknow that length of the curve…