The polar equation r sin0 = 3 represents : (a) Cardioid (b)Vertical line (c)Horizontal line (d) Circle (e) None

Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) r= 6…

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Q: Convert the rectangular equation to a polar equation that expresses r in terms of 0. X= 11 r= (Type…

A: Given  X = 11

Q: 5. Convert the polar equation to a rectangular equation. r = -2 sin 0

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Q: Convert the polar equation to a Cartesian equation. Then use a Cartesian coordinate system to graph…

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Q: Sketch the graph of polar equation.Be sure to test for symmetry. r = 3 sin θ

A: Solution:Given          r= 3 sin θTo sketch the graph of polar equation test for symmetry

Q: Given polar equation is r = 2- cos 0

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Q: coordinates

A: We have to choose the correct option according to the given information

Q: Find the area of the circle given by r = sin θ + cos θ. Check your result by converting the polar…

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Q: Convert the point with Cartesian coordinates 2 r and 0, with r> 0 and 0 ≤ 0 < 2π in radians. (r, 0)…

A: Topic = Geometry

Q: Convert the polar equation to a rectangular equation. 2 sin 20 = 4 %3D

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Q: Convert the polar equation to rectangular form and sketch its graph. r = 7 sin(0)

A: x=rcosθ y=rsinθ

Q: In converting r = sinθ from a polar equation to a rectangular equation, describe what should be done…

A: r2=x2+y2x=r cosθy=r sinθ

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: Given polar equation is r = 2- sin 0

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Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) r = 4…

A: The polar equation is Converting to polar form,Multiplying both sides by r, we getWe know that

Q: Sketch a graph of the polar equation r = 4 sin 3θ  and find the tangent lines at the pole.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find a Cartesian equation for the curve represented by polar equation . r = 14 cos 0- 12 sin 0.

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Q: Convert the rectangular equation to a polar equation that expresses r in terms of 0. X= 3 (Type an…

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Q: Find the slope of the polar curve at the indicated point. r = 4/theta , θ = 3π

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Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) 9(2…

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Q: Find a polar equation for the line containing the origin that makes an angle of 30° with the…

A: Find a polar equation.

Q: Convert the polar equation r sin (θ - π/4) = 2 to a rectangular equation. Then determine the graph’s…

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Q: Convert the polar equation = 2 sin(0) into Cartesian and describe this shape.

A: we have to convert the given polar equation into Cartesian equation

Q: Find the slope of the polar curve at the indicated point. r = -9 + 3 sin θ, θ = 0

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Q: Plot the graph of r= sec 0 tan 0.e a b Find the Cartesian equation corresponding to this polar…

A: Polt the polar curve and conversation of polar coordinates

Q: Graph the polar equation r=4/ 2-2 cos theta

A: Given:

Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) 1 + sin(0)

A: Consider the polar equation

Q: Of a circle of radius "a" whose center is point (1,-1).Write the equation in Polar Coordinates.…

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Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) cos(20) -…

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Q: Sketch the polar curve with the given equation - -3 sin 8, OA OB. oc OD. OE

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Q: Use the three steps to graph the polar equation: r = 2/(1 - sin θ)

A: Given information: r=21-sinθ

Q: Convert the polar equation r cos (θ + π/6) = 8 to a rectangular equation. Then determine the graph’s…

A: Consider the given: rcosθ+π6=8rcosθcosπ6−sinθsinπ6=8rcosθ32−sinθ12=8rcosθ32−rsinθ12=8Let rcosθ=x​​…

Q: Convert the Cartesian equation y = x2 + 2x into a polar equation (you should be able to simplify…

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Q: Sketch the curve with the given polar equation, and find its Cartesian equation. 2 =-4 sin 20 %3D y

A: We are given the polar equation . Let us plot the figure.

Q: Find the slope of the polar curve at the indicated point. r = 1 - sin θ, θ = 0

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

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Q: Convert the polar equation r = −2 sec θ tan θ to rectangular form and sketch its graph.

A: Convert the polar equation r = −2 sec θ tan θ to rectangular form and sketch its graph.

Q: A curve in polar coordinates is given by: r= 8+2 cos 0. %3D

A: Given r=8+2cosθ and  P is a point at (r, θ) with θ=18π16=9π8 (a)  to find the  r coordinate of point…

Q: 7. What is the equation of the curve in rectangular coordinates whose equation in polar coordinates…

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Q: Interpret the polar equation r = tanx secx geometrically.

A: Given  r = tan(x)sec(x)

Q: Convert the polar equation to rectangular form and sketch its graph. r = 9 sin(8)

A: Some of the basic formulas while converting polar equation to rectangular equation are: x2+y2=r2…

Q: Convert the polar equation to rectangular form: x = 6 O None of these. Or = 6 cos(0) csc(0) Or = 6…

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Q: Find the equation of the line tangent to the polar curve at the point r=2cos(theta/3), theta=pi/4

A: Given: The slope of the tangent line is calculated by using the following formula,

Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) r= 8…

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