convert the given polar equation to a Cartesian equation. Write in the standard form of a conic if possible, and identify the conic section represented.

Q: In the given equation as follows ,  find a set of parametric equations for the line or conic :- see…

A:

Q: r= -6 csc 0

A:

Q: Convert the rectangular equation (x2 + y2)2 − 9(x2 − y2) = 0 to polar form and sketch its graph.

A: Coordinates in Cartesian system (x,y ) Coordinates in polar system   To convert the Cartesian…

Q: Convert the rectangular equation to polar form and sketch its graph. x2+y2=a2

A:

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: Convert the given polar equation to a Cartesian equation. 2-cos(e)-4 sin(e) In Cartesian, this…

A:

Q: Convert the equation to polar form. 3x = 3y

A: 3x=3yConvert into polar form by substituting x=rcosθ and y=rsinθ

Q: Write a polar equation in rand of an ellipse with the focus at the origin, with the 8 eccentricity…

A: A polar equation  of the form r=ed1±e cosθ, r=ed1±e sin θ represents a conic with eccentricity e…

Q: Consider the point (8, (-300)°), in polar coordinates. Which of the following shows the location of…

A: given points : (8,(-300°))

Q: Give the eccentricities of conic sections with one focus at the origin of the polar coordinate…

A: Solution:- Eccentricities of conic is, e=1 Directrix is  r cos u=-4 That is, x=-4 Now polar…

Q: Identify the conic section and graph the polar equation: r = 2/(1 - cos θ)

A: The given polar equation is r=21-cosθ Here, the given equation can be ellipse, parabola and…

Q: Find a polar equation that has the same graph as the equation in x and y.x2 + y2 = 16

A: The polar coordinates of a point are given by x=rcosθ,y=rsinθ. For a circle with equation x2+y2=R2…

Q: Graph the equations r = 2 and θ = π / 3 on the same set of polar axes.

A: Given, r=2, and θ=π3

Q: Find a polar form of the equation. X = 6 .

A:

Q: Find an equation in polar coordinates that has the same graph as the given equation in rectangular…

A: If x, y are the rectangular coordinates and r, θ are the polar coordinates, then the relation…

Q: Identify the conic the polar equation represents and give the position of the directrix. r= 12 9+5…

A:

Q: Write the name of the conics given by polar curve r=6/(2+sin(t)) a) Determine the equation of the…

A:

Q: Find a polar equation that has the same graph as the equation in x and y.xy = 8

A: we have to find a polar equation that has the same graph as the equation in x and y. xy=8

Q: State the polar Equation of a Conic Section.

A: Polar equations of conic sections:  If the directrix is a distance d away, then the polar form of a…

Q: Find an equation in polar coordinates that has the same graph as the given equation in rectangular…

A: To convert the rectangular coordinates to polar coordinates, substitute x with r cosθ and y with r…

Q: An equation whose variables are polar coordinates is called a(n)...............…

A: given,        An equation whose variables are polar coordinates is called a(n). . . . . . . . .…

Q: Identify the conic that each polar equation represents.Also,give the position of the directrix.

A:

Q: Convert the equation x² – y² = 1 to polar form.

A: Given equation in cartesian form is:

Q: Identify the conic that each polar equation represents.Also,give the position of the directrix.

A: A conic section is obtained from the intersection of a plane with surface of a cone. Three types of…

Q: 26. x2- y = 9

A: To find: The polar form of the given rectangular equation and also sketch the graph. Given: The…

Q: Convert the rectangular equation to polar form and sketch its graph and vice versa. x2-y2=9

A:

Q: Convert the equation to polar form: 3x=3y

A: To Convert the equation to polar form

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

A:

Q: Write an equivalent polar equation. x² + y² = 169

A:

Q: Convert the polar equation to rectangular form. r=-20costheta

A:

Q: Match each equation with its polar graph from

A:

Q: ) Find a trig. identity that will help you eliminate t. This will be one-half of a familiar conic,…

A: In the given equation, the concept of a trigonometric function is applied. Trigonometric Functions…

Q: Find a polar form of the equation. x² + y² = 4

A:

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

A:

Q: Convert the rectangular equation to polar form. Assume a > 0. x2 + y2 – 6ax %3D

A:

Q: For the given polar curve, identify the conic, find the equation of the directrix, and sketch it: r…

A: Given curve is r=53+8sinθ. To find: 1) Identify the conic.              2) Equation of the…

Q: For the given polar curve, identify the conic, find the equation of the directrix, and sketch it: r…

A: Given: The function is given as ? = ?/?+?????

Q: Identify the conic of r 1 cos0 Answer.

A: Topic:- algebra

Q: For the given polar curve, identify the conic, find the equation of the directrix, and sketch it: r…

A: Given polar curve r=53+8sinθ Comparing the above form to the general form: r=ed1+esinθ Here, e is…

Q: Convert the equation 9(x2 + y2) = (x2 + y2 − 2y)2 to polar coordinates, and plot it with a graphing…

A:

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

A:

Q: Find a polar equation that has the same graph as the equation in x and y.y = 2

A: To convert the given equation to polar form: y=2 Solution: We know rectangular coordinates (x,y) and…

Q: Convert the rectangular equation y2 = 9x to polar form and sketch its graph.

A: To convert the rectangular equation y2=9x into the polar form.  By using rectangular to polar…

Q: Convert the given polar equation to a Cartesian equation. r= 6.cos(e) In Cartesian, this equation is…

A:

Q: Find a polar form of the equation. x2 + y2 = 36 %3D ア=-6,6 Submit Answer

A: The given equation is x2+y2=36To find its polar form of equation

Q: Which equation represents the polar graph?

A: the polar equation is in the form of  r=a±bcosθ   or   r=a±bsinθ but here the polar curve is on the…

Q: Convert the rectangular equation x2 + y2 = a2 to polar form and sketch its graph.

A: We have to convert the rectangular equation x2 + y2 = a2 to polar form and sketch its graph.

Q: Find a polar form of the equation. x² + y2 = 49

A:

Q: Plot the point that has the given polar coordinates. (-3, 1) A/2

A:

Q: Convert the polar equation to rectangular form and sketch its graph = 5π /6

A: Given: θ=5π6