13. Convert the polar equation to rectangular coordinates. (a) 1- 2 cos 0 (b) r = 9 sin 0

Q: 2. Convert the polar equation to rectangular coordinates. 1 r = 1+ sin 0

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Q: 6. What is the equation of the polar curve shown? a) r = -4 sin 30 c) r = 4 cos 30 b) r = 4 sin 30…

A: Since you have asked multiple question so we will be answering only first question. Given polar…

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: 24/ Replace the polar equation r. sin (0 +") = 2 to Cartesian equation -(G+ ns./ = 2

A: The given polar equation is r·sinθ+π6=2 .................(1)

Q: Convert the Cartesian equation to a polar equation that expresses r in terms of 0. (x-6) +y? = 36…

A: The given cartesian equation is: x-62+y2=36 The cartesian coordinates in terms of polar coordinates…

Q: Question in Image.

A: To convert to polar form replace:  x with r cos θ y with r sin θ   We have y = 7x + 12   r sin θ =…

Q: 1 For the given polar equation: r = 6(sin 0-cos 0) a. Write the equation in rectangular coordinates.

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Q: 1- Convert the polar equation to a Cartesian equation: a. r=4 sin 0 b. 0 = T/4 c.r = 5 d. r sin (20)…

A: While dealing with polar and cartesian equations, we should know these basic things x=r cosθy=r sinθ…

Q: 5. Convert the polar equation to rectangular equation of the form y = mx + b. Simplify your answer…

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Q: Find the Cartesian coordinates of the point (given in polar coordinates). (5,tan-1 (4/3))

A: Known fact: The Cartesian coordinates of r, θ is given by x, y=rcosθ, rsinθ.

Q: Q5\a- Replace the following polar equation by equivalent Cartesian equation and identify their…

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Q: H.W 1-Replace the polar equations with equivalent Cartesian equations. 4]. p? = -sin 0

A: We have to replace the given polar equation with equivalent cartesian equation. r2=-sinθ

Q: 5/3 Convert the point with Cartesian coordinates 2 to polar coordinates. Enter exact values for r…

A: Convert the point with Cartesian coordinates 52,-532 to polar coordinates.Enter exact values for r…

Q: A polar equation is given. 2 - cos(0) (a) Express the polar equation in parametric form. (x(t),…

A: To convert Polar coordinates to cartesian coordinates, x=rcosθ     and y=rsinθ

Q: r= 1+ 2 sin e.. Roughly Sketch the polar curve

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Q: 01: If x²+y-2x=0. Find the corresponding equation in polar. Sketch.

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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: 2. Transform the polar equation into a Cartesian equation. 4 r = 4 + sin 0

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Q: nd the Cartesian form of the polar equation sin(20). r3

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Q: 8. Convert the polar equation r =8 cos 0 into a rectangular equation.

A: we know     The formula  of polar to rectangular    r2 = x2  + y2  , where x = r cos( theta) and…

Q: Convert the Cartesian equation xy = 1 to a polar equation. r² = sinθcosθ  r² = tanθ r² = secθcscθ

A: Given problem:- Convert the Cartesian equation xy = 1 to a polar equation.   r² = sinθcosθ  r² =…

Q: Consider the polar equation defined by r= 5 cos(2 sin 6), where 0<0< 2x. Determine the missing…

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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: Replace the Cartesian equation with an equivalent polar equation. x² + y² = 100 Or-10 sin 0 Or- 10…

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Q: snip

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Q: Q2\ Replace the following polar equation by equivalent Cartesian equation and identify their graphs…

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

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Q: 9. (a) Find the rectangular coordinates of the point(s) of the graph of the polar equation r = 4 sin…

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

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Q: Transform the polar equation ?r = 5 cos(0) to an equation in a and y.

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Q: 8 Convert the polar equation r 2 = -2 sin 2θ to a Cartesian equation. x2 + y2 = 2 xy ( x2 + y2) 2…

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Q: 1) (a) Convert BOTH of the below equations from either polar to rectangular or rectangular to polar.…

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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: 9/3 9. to polar coordinates. Enter exact values Convert the point with Cartesian coordinates - for r…

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Q: •5 25-x2 Evaluate (x² + y? )° dy dx by converting to polar coordinates.

A: To evaluate the integral using polar coordinates

Q: 2 Q3: Discuss the symmetry and plot the locus of polar equation r 1-cose

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Q: 9/2 9/2 2 Convert the point with Cartesian coordinates to polar coordinates. Enter exact values for…

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

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Q: WrWiterirte=(x + y)2 = xy + 6 as an equation in polar coordinates. 2 cos θcos θ − sin θas an…

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Q: 1 r = sin 0-4 cos 0

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Q: Convert the polar equation to a rectangular equation. r= 6 cos e + 5 sin 0 О х2 - у2 - 6х + 5y O x²…

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Q: A) Replace the polar equation r2 sin20 = 2 with equivalent the Cartesian equation %3D

A: Given: The polar equation r2sin2θ=2, To find: Equivalent cartesian equation.

Q: What is the polar form of the equation? (x + 2)² + y² = 4 O r(r+4sin 0) = 0 O p2 = 4r cos O O r(r+4…

A: We transform the equation by putting the formula.

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

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

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Q: What is the polar equation of the vertical line x = 13? Choose the correct answer below. A. r= 13…

A: Given data is : x=13 What is the polar equation of the vertical line x=13

Q: 10 Write an equivalent rectangular equation for the polar equation r = 3 sin 0-7 cos 0

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Q: 4. a) Express the given rectangular equation in polar form. Solve for r or r2 if possible. x? = y? +…

A: Use x= rcostheta Y= r sin theta X2+y2=r2

Q: 5/3 Convert the point with Cartesian coordinates to polar coordinates. Enter exact values for r and…

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