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) = 4

Q: Find the Cartesian equation of the polar equation p² = 2[1+ r(cos 0 – sin 0)] and identify its…

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

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Q: 11) Find the rectangular form of the polar equation: r = sin 0 + cos 0

A: Given: r = sin θ + cos θ To find: The rectangular form of the given polar equation.

Q: E-Replace the polar equations with equivalent Cartesian equations. 1]. 2]. r = sin 2

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

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Q: Find the slope of the polar curve at the indicated point. TT 7) r = 5 cos 30, 0 =

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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 given polar equation into a Cartesian equation. r=sinθ2cos2θ

A: By substituting sinθ = y/r and cosθ = x/r we get the required equation. Given, r=sinθ2cos2θ

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

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Q: Find the Cartesian form of the polar equation r = −6 sin θ

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Q: Replace the polar equation with an equivalent Cartesian equation. r 2 + 2r 2 sin θ cos θ = 576…

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Q: 3) Convert the following polar equations to rectangular equations. 1 a) r = b. r=4 4 cos 0-3 sin 0

A: (a)r=14cosθ-3sinθSince, x=r cosθ , y=r sinθso,cosθ=xr , sinθ=yrsubstitute in the given polar…

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: 4) Use the conversion formulas æ = r cos 0, y = r sin 0 or r2 = x² + y², tan 0 = to convert the…

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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: 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: Replace the polar equation 1 1 r = 1– sin 0 1+ sin 0 with an equivalent Cartesian equation. Choose…

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

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Q: Replace the polar equation r. sin (0+ 1 (0+²) = 2 to Cartesian equation

A: See the details solution in below

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: 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: Sketch the polar curve with the given equation = -3 cos 0,

A: Polar equation r= -3 cosθ , -π≤θ≤π

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

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Q: The Cartesian equation, x = 4, is equivalent to the polar equation, 1 = 4 cose 4 r = cose 43 r =…

A: Given is the cartesian equation x=4. The objective is to write the equivalent polar equation. In…

Q: Consider the polar curve r = sin(30). Sketch the polar curve on the inter 0< 0 < 27/3.

A: Solution: Given data, r = sin(3theta)

Q: Graph the polar equation. r=-4 sin 0 Part: 0 / 2 Part 1 of 2 Plot six points satisfying the polar…

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Q: For the given rectangular equation, give its equivalent polar equation. 6x - y = 14 r= H 14 6 sin…

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

A: Answer is mentioned below

Q: The Cartesian equation xy=1 is equivalent to r^a sin(2theta)=b in polar coordinates what is a+b=

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

A: Consider the provided question, (13) (a) Convert the polar equation to rectangular form,

Q: Convert the following polar equations to rectangular equations and sketch the polar curves. i) r=…

A: Given : (i) r= 3(1+sinθ)  (ii) r secθ=8 To find: Need to convert polar coordinates to Rectanglular…

Q: 1 r = sin 0-4 cos 0

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

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

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

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

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

A: To convert the given polar equation to Cartesian equation, we make the substitution  x=r cos(θ), y=r…

Q: 10. Sketch the curve of the polar equation r = 2 sin 0 . Find a rectangular equation for this curve.

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