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

Q: Graph the polar equation: r2 = 4 cos 2θ.

A: Graph the polar equation: r2 = 4 cos 2θ.

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

A:

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

A: Given: r2+2r2sinθ.cosθ=576 Solution: By taking common r2 we can write above equation,…

Q: Use the identity cos 20 = cos² 0 – sin² 0 to find a polar equation of the hyperbola x² – y² = 1.

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Q: Sketch the graph of the polar equation. r = 7 + 4 sin 0

A: Given, The equation, .

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

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Q: Sketch the graph of the polar equation.r = 2 + 4 sin θ

A: Given polar equation is r=2+4sinθ

Q: Sketch a graph of the polar equation  r = −3 cos 2θ

A: We will make a table for the function.

Q: Sketch the graph of the polar equation.r = 4(1 - θ)

A: To sketch the graph of the polar equation, r=4(1-θ), first, find the values of r corresponding to…

Q: 45. The rectangular equation x² + y² - 2x=0 written in polar form is r = 2 cos.

A: The rectangular equation is x2+y2-2x=0

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

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Q: Transform the equation r = 6 cos θ from polar coordinates to rectangular coordinates

A: The formulae shown below shows the relationship between polar coordinates and rectangular…

Q: Sketch a graph of the polar equation  r2 = 9 cos 2θ

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

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

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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: Sketch the graph of the polar equation. r = 8 + 5 sin 0

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Q: Sketch the graph of the polar equation.r = 3 sin 2θ

A: Solution:Given     r= 3 sin2θTo sketch the graph of the polar equation.

Q: Convert the polar equation r = -6 cos θ to a rectangular equation in x and y.

A: Consider the given polar equation: r=-6cosθ Here, the objective is to convert the given polar…

Q: Convert the equation r2 = -4r cos θ from polar to cartesian.

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Q: Find the slope of the polar curve at the indicated point. r -6+5 COs o 2.

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

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Q: Choose the graph of the polar equation “ r=1+cos 0" .

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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: 38. r = 5 cos 0 %3D

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

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Q: Sketch the graph of the polar equation.r = 34 cos θ + 2 sin θ

A: Given, r=34cosθ+2sinθ now put θ=π3 r=3412+232=17+3 points from equation we get 0,34, π2,2

Q: snip

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Q: Find the rectangular equation that represents the graph of the polar equation r = -2 cos . %3D

A: Given the equation:

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: Consider the polar equation of a conic. Determine the eccentricity. -5 r = 1 + cos(0) e =

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Q: Sketch the graph of the polar equation.r = 2 sin 4θ

A: Given: r = 2 sin 4θ

Q: Sketch a graph of the polar equation  r = 4 − 3 cos θ

A: Given polar equation:                                     r = 4 − 3 cos θ

Q: Sketch the graph of the polar equation.r = 2(1 + sin θ)

A: To find : sketch graph of  r = 2(1 + sin θ)

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: 1. Transform the polar equation 4 cos 0 cos² 0 + 1 into its Cartesian form and identify the curve.

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Q: Convert the polar equation of a conic section to a rectangular equation. 8 r = 7 - 3 cos(0)

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

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Q: Sketch the graph of the polar equation.r = 8 cos 3θ

A: See the graph

Q: Sketch the graph of the polar equation.r = -6(1 + cos θ)

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Q: Sketch the graph of the polar equation.r = 8 cos 5θ

A: We have to draw

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

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Q: Graph the polar equation r= 1 - 2 cos 0. %3D

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Q: Sketch a graph of the polar equation r2 = 4 cos 2

A: Given:       r2=4 cos2θ First, notice that             r2=4 cos2θ⇒4 cos2θ=2cos2θ Applying following…