6. Sketch the graph of the following polar equation and write the equation in rectangular form. Identify what the curve is. State the eccentricity, e, and the distance, d, between the focus and directrix. 2 r = 2-sine

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

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Q: Identify the type of polar curve and write a polar equation that represents the given graph. M23 4 5…

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Q: Test for symmetry and then graph polar equation r2 = 9 cos 2θ.

A: The polar equation is r2=9cos 2θ.   Check for symmetry with respect to the line θ=π2. Replace r,θ…

Q: Find a polar equation for the curve represented by the given Cartesian equation. y = 4

A: Given ,Y = 4

Q: Find a polar equation that has the ame graph as the equation in x and y: ²-y² = 4

A: Given query is to find the polar equation.

Q: In  the given equation as  follows , convert the rectangular equationto polar form and sketch its…

A: To convert: The equation in polar form and sketch the graph. Concept used: Convert rectangular into…

Q: Find a polar equation for the curve represented by the given Cartesian equation. x2 + y2 = 2cx

A: Polar equation for the curve represented by the given cartesian equation x2+y2=2cx is r=2c cosθ The…

Q: In  the given equation as follows , convert the polar equation torectangular form and sketch its…

A: It is known that relation between polar and rectangular coordinates is,     Here it is given that,…

Q: Test for symmetry and then graph polar equation r = 3 + sin θ.

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

Q: Convert the rectangular equation xy = 4 to polar form and sketch its graph.

A: Given rectangular equation xy=4 →1For polar form , we havex=r cos θ , y= r sin θ

Q: Given the following polar equation, what is the length of the curve over the given interval?…

A: solution:-

Q: For each rectangular equation, give the equivalent polar equation and sketch its graph. x - y = 4

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Q: Find a polar equation that has the same graph as the equation in x and y.y2 = 6x

A: Given,                equation -: y2=6xThe relation between polar coordinates (r,θ)and certesian…

Q: Find a polar equation for the curve represented by the given Cartesian equation. x + y = 9

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Q: Test for symmetry and then graph polar equation r = 4 sin 3θ.

A: To Determine:  Test for symmetry and then graph polar equation r = 4 sin 3θ. Given: we have an…

Q: Q3 Write down the polar form of the equation 2 arctan(y/a)

A: convert the given equation into polar form x2+y2=e-2arctanyx

Q: Find the lengths of the curves given by the polar coordinate equations r = -1 + cos θ

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Q: Match the point in polar coordinates with either A, B, C, or D on the graph.

A: The given polar coordinate -2,-π2

Q: Find an approximate polar equation for the ellipticalorbit of the earth around the sun (at one…

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Q: Find a polar equation for the curve represented by the given Cartesian equation. x2+y2=100

A: Here given cartesian equation  x2+y2=102 it is an equation of the circle with radius 10.

Q: Which of the following Polar equation represents the following Curve -2 (a)r = 1- sind (b) r= 2+…

A: We have to check

Q: 11.Convert the polar equation to rectangular form and sketch its graph. r= 4sine

A: In the question, it is mentioned to convert polar equation to rectangular form.

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

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

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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: Find a polar equation for the curve represented by the given Cartesian equation. x² + y2 = 16

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Q: Find a polar equation for the curve represented by the given Cartesian equation. 4y? =

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Q: Graph the following polar equation. (tabulating and showing intercepts, asymptotes, symmetry in the…

A: The given polar equation is r=2+2cosθ.

Q: 1 Plot the graph of the polar equation r = a 1- cose b Find the corresponding Cartesian equation.“

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Q: Find a polar equation that has the same graph as the equation in x and y. x + y = 3

A: A point in the polar coordinate system with coordinates (r, θ) has distance r from the origin and…

Q: Find a polar equation for the curve represented by the given Cartesian equation y = 7

A: Given cartesian equation of the curve is  We will use the following substitution to convert…

Q: Find a polar equation for the curve represented by the given Cartesian equation. x2 + y2 = 10cx

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Q: Graph the following polar equations. Mark the point at which 0 = 0 and mark the endpoint of the…

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Q: find a polar equation for the curve represented by the given cartesian equation y=2

A: Solution Given The given cartesian equation is  y=2. We need to find the polar equation.

Q: Use your graphing calculator in polar mode to generate a table for each equation usingvalues of u…

A: Given: r = 2 cos 2u u r 0 2 15 1.73 30 1 45 0 60 -1 75 -1.73 90 -2

Q: Which of the following shows the correct sketch of the polar curve r = -8 + 8 sin(0)?

A: The given polar equation is: r=-8+8sin(θ)

Q: Consider the curve C of equation 4.xy x² + y? x² + y² From the choices given, select the one that…

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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: Which of the following is the closest distance from the points on the curve given by the equation r…

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Q: Find a polar equation that has the same graph as the equation in x and y.y = 6x

A: Given y=6x To find a polar equation that has the same graph as the equation in x and y. The polar…

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

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Q: Consider the following equation (x² + y²)² = 4 (x² – y²). a) Convert the equation to a Polar…

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Q: Convert the polar equation to rectangular form and sketch its graph r = sec θtan θ

A: We have polar equation given as  r = sec θ tan θ The relation between polar and rectangular…

Q: 1- Which of the following is the closest distance from the points on the curve given by the equation…

A: The equation of circle is given by, r = 6 The point in the Cartesian coordinate is (-8, -15) which…

Q: For the following rectangular equation, give the equivalent polar equation and sketch its graph. x²…

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: B- Find the intersections and symmetry for the polar equation r sine = 1 and then draw it.

A: Introduction: The intersections of a curve are mainly the point where the curve intersects the…