Replace the polar equation with an equivalent Cartesian equation. r 2 = 26r cos θ - 6r sin θ - 9   a) (x + 26)2  + (y - 6)2 = 9   b) 26x - 6y = 9   c) (x - 13)2  + (y + 3)2 = 9   d) (x - 13)2  + (y + 3)2 = 169

Q: Write a polar equation of the form r sin(0 – 0,) = ro for the line 2/3 x+2y = 1. %3D

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Q: I'm pretty sure it's c but can you help

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Q: 2 Rewrite the Cartesian equation y = 6x² as a polar equation. r(0) Enter theta for 0 if needed.

A: To Convrt Cartesian from topolar form use the following           x=r Cosθ           y=r Sinθ

Q: Determine whether the statement " If x > 0, then the point (x, y) on the rectangular coordinate…

A: Consider a point (x, y) on the rectangular coordinate system  Draw a line joining that point to the…

Q: Convert the Cartesisan equations x^(2) = 9y and x^(2) - y^(2) =x into polar equations.

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Q: Replace the polar equation with an equivalent Cartesian equation. r 2 = 26r cos θ - 6r sin θ - 9

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Q: Convert the polar equation to rectangular form and sketch its graph. r = 7 sin(0) y y 6 4 5 2 4 X 3…

A: Given polar equation r=7sin(theta) We know that  y=rsin(theta)…

Q: 1. Rewrite the Cartesian equation y = 3x +2 as a polar equation. 2. Rewrite the Cartesian equation…

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Q: Convert the Polar equation to a Cartesian equation and solve for y. r2 sin(0) cos(0) +r cos(0) = 2

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Q: Convert the Cartesian equation x² + y² -2x= 0 to a polar equation. x2 + y2 -2x 0= O 2=-2 cos e Or= 2…

A: Given artesian equation,x2+y2-2x=0Put…

Q: 5. Find two sets of polar coordinates for the Cartesian point (-7, 7/3) such that 0<0<2T.

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Q: 1/A) Replace the polar equation by equivalent Cartesian equation r2cose + 2sino

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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: Rewrite the Cartesian equationy = 2 as a polar equation. r(8) = %3D Enter theta for 0 if needed. 12

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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: Find the polar coordinates of a point with 7V3 7 Cartesian coordinates (x, y) = (-- 2 Select the…

A: To convert from cartesian coordinate (x,y) to polar coordinates (r, θ): r=x2+y2 θ=tan-1yx

Q: Find a polar equation in the form r cos (0-0) = ro for the line 2/2x+2/2 y = 16.

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Q: Convert the polar equation to rectangular form and sketch its graph. r= 9 sin(e) y 0.8 4 0.6 2 X -5…

A: We can solve the problem by just obtaining the rectangular form of the equation.

Q: Convert the polar equation r² = 2 cos (-20) to a Cartesian equation. (x² + y²)² = 2x²-2y² (x² + y²)²…

A: In this question, we want to convert the polar equation in Cartesian equation.

Q: Convert the rectangular equation to a polar equation that expresses r in terms of 0. (x-14) + y² =…

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Q: 21. Represent the point with Cartesian coordinate (-1, 1) in terms of polar coordinates. (a) (vz.) .…

A: Given that  : (-1 ,1) x = -1 y = 1 Lies in 2nd Quadrant.

Q: he Cartesian equation (x – 10)2 + y² = 0 in polar form. %3D

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Q: (b) Find two polar coordinate representations for the rectangular coordinate point (-6, 2/3), one…

A: Given data: The given coordinate is (x,y)=(-6, 2(3)1/2). The expression for the polar coordinate is,…

Q: 4. Consider the point with rectangular coordinates (-3, 3). State the coordinates of the point in…

A: Given: The point with rectangular coordinates (-3, 3). To state: The coordinates of the point in…

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: Find a polar equation corresponding to the given rectangular equation. y= 15 1 sec(0) r= 15csc(0) r=…

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Q: Convert the polar equation r² = 2tan 0 to a Cartesian equation. %3D Ox3 + y3 = 2 y x3 + xy² = 2 y…

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

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Q: Convert the Cartesian equation x 2 + y 2 - 6x = 0 to a polar equation.  r² = 6cosθ r = 6sinθ r =…

A: The given Cartesian equation x 2 + y 2 - 6x = 0 ................................... (1)

Q: b) Convert the following polar equation into Cartesian equation. 3 r = 1-2cos 0

A: We have to find the Cartesian equation

Q: Convert the polar equation to a rectangular equation. r= 3 cos 0+6 sin 0 O A. 3x+6y 0 O B. x+y 6x +…

A: Recall: Convert form Polar to Rectangular:      x= r cosθ and   y= r sinθ ⇒r2=x2+y2   and  tanθ=yx

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

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Q: (3. 7/7) as Cartesian coordinates. Express the polar coordinates (3,

A: We have to express (3 , π/2) in Cartesian coordinates.

Q: Replace the Cartesian equation (x – 3)² + (y+ 1)² = 4 with equivalent %3D The Polar equation

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Q: Convert the rectanglular equation to polar form. Assume a>0. (x^2+y^2)^2=7(x^2-y^2)   find: r^2=

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Q: H.W 1-Replace the polar equations with equivalent Cartesian equations 1). r = 2+sin 0 2]. 3]. 4].

A: Given that  r=2+sintheta  To covert the polar equation into Cartesian equation

Q: 4. Consider the point with rectangular coordinates (1, 1). State the coordinates of the point in…

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Q: What is the zero of polar equation r = 3+2cos(θ)?

A: Given polar equation is: r=3+2 cos θ To find the zero of the polar equation, we must have to put θ=0…

Q: Convert the polar equation r- 3 cosa 5 sin A in Cartesian equation form. )x² + y² - 3x = 5y 1- 3x =…

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Q: 1 r = sin 0-4 cos 0

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Q: Rewrite the Cartesian equation (x – 5)² + y² = 25 as a polar equation. r(0) = Preview %3D

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Q: Convert the polar equation r² = 2tan 0 to a Cartesian equation. x3 + y3 = 2 y x3 + xy² = 2 y x² + y²…

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Q: Which Cartesian equation is equivalent to the given polar equation? 3 r = sin 0 +7 cos 0 O y + 7x =…

A: We have to find Cartesian equation of given polar equation.

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

A: Explained below

Q: H.W 1-Replace the polar equations with equivalent Cartesian equations. 5]. r = 2-2 cos 0

A: r=2-2cosθ Multiplying both sides by r, we get  r2=2r-2rcosθ                 1 We know that x=rcosθ,…

Q: Replace the Cartesian equation x²- y² =1 with a polar equation. |

A: For conversion to polar from cartesian, substitute the following. x=rcos θy=rsin θ

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

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Q: What is the rectangular form of the polar equation? 0 : 3 V3 y = 3 O y = -V3x Y = V3x O y =* -V3 3

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Q: 3. CHOOSE ONE. Assume that r0. 5x (a) Transform the Cartesian equation = 5x – 5xy into a polar…

A: A)5x2x2+2y2=5x-5xy12x2+2y2=1-yx=r cosθ, y=r sinθx2+y2=r212r2=1-1(rsinθ)r sinθ=1-12r22r2-1=2r3…