In polar coordinates, the points (r, 0) and (-r,0) are symmetric with respect to which of the following? (b) the pole (or origin) (a) the polar axis (or x-axis) (c) the line 0 = (or y-axis) (d) the line 0 == 4 (or y = x)

Q: Sketch the polar curve r = 2 − 2 cos(θ). can you please show how you found all the points necessary…

A: In the question it is asked to draw polar curve for function r=2-2cos(θ).

Q: 4- The equivalent of Cartesian equation (x + = 1) in polar equationis:

A: Given: Cartesian equation:   To determine: equivalent polar equation.

Q: True or False? Do the polar coordinates (2, 7/6) and (-2, 7T/6) represent the same point?

A: Lets convert the given polar coordinates into cartesian coordinates and check The relation between…

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: Convert the Cartesian equation to a polar equation that expresses r in terms of 0. x + (y + 5)? = 25…

A: The equation in rectangular coordinates is given by x2+y+52 = 25 To evaluate : The polar equation…

Q: Consider a point with rectangular coordinates (x,y)(x,y). If x<0x<0 then the polar coordinates of…

A: Given a rectangular coordinate x,y, where x&lt;0.  The corresponding polar coordinate is given by…

Q: Sketch the polar curve r = 2 sin 3θ by first sketching the graph of r as a function of θ in…

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Q: Find parametric equations for the circle of radius 2 with center (1, 1). Use the equations to find…

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Q: Plot the point that has the given polar coordinates. (-2. --) R/2 R/2 R/2 R/2 Give two other polar…

A: Using the formula (-r,θ)=(r,θ+π)-2,-π3=2,π-π3=2,2π3Using the formula…

Q: coordinates

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

Q: Find the distance between the points with polar coordinates  (2, pi/3) and (8, 2pi/3)

A: Given,          The two polar coordinates are 2,π3 and 8,2π3.

Q: Find the polar coordinates of a point with Cartesian coordinates (x, y) = (-V2, -V2). %3D

A: Given cartesian coordinates is i.e point lies in third quadrant.

Q: onvert the ordered pair in polar coordinates to rectangular coordinates. Use exact values. -2, 3 The…

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Q: Convert the polar curve r=6cos(θ)+6sin(θ) to Cartesian coordinates. choose the correct ones from the…

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Q: 3. Find a polar coordinates for the point that is described in Cartesian coordinates as (x,y) = (2,…

A: We can solve the given problem using the concept of polar coordinate of given problem.

Q: Convert the rectangular equation to a polar equation that expresses r in terms of 0 x= 19 r= (Type…

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Q: The origin in rectangular coordinates coincides with the............ in polar coordinates; the…

A: we have been given blank statement we have to fill it. Statement : The origin in rectangular…

Q: 2. Convert (-4/3,4) from rectangular to polar coordinates with r > 0 and 0 <0 < 2T. Give exact…

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Q: True or False? Does the rectangular coordinate (1,0) represent the same point as the polar…

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Q: Convert to polar coordinates with r,≥0 and 0≤theta<2

A: Given query is to find the the equivalent polar coordinates.

Q: Match the polar equation with the graphs labeled I-VI. Use the table to help you. r = 2 + 2 sin(0)…

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Q: 6. Find a Cartesian equation for the polar curve and describe its shape: r= 3csce

A: The given equation,              r=3 cscθ

Q: Convert the point with Cartesian coordinates (- 3/3, - 3) to polar coordinates. Enter exact values…

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Q: Find the polar coordinates of the point with Cartesian coordinates (−2, 3)

A: topic-Cartesian coordinate to polar coordinate conversion

Q: Find polar coordinates (r, 0) of this point with I with expressed in radians. Lets r > Oand 0≤0<2…

A: The objective is to find the polar coordinate.

Q: Plot the point in polar coordinates. (6, π/2) y y 10| 10 (6, л/2) 5 (6, π/2) X X -10 -5 10 - 10 -5…

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Q: a) Show that the polar equation r = a sin 0 + b cos 0, where ab # 0, represents a circle. Find its…

A: (a) The given polar equation of circle is - r=asinθ+bcosθ We need to find its center and radius . We…

Q: It can be shown that the polar curve r = a sin(0) +b cos(0), where ab + 0, is a circle. Find the…

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Q: Match the polar equation with the graphs labeled I-VI. Use the table to help you. r = 1 + 2 cos(0)…

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

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Q: What are the polar coordinates (r,θ) of the points of intersection of C1 curve with polar equation…

A: It is given that, It s known that at the point of intersection equation of both curves satisfies…

Q: 1. What are the rectangular coordinates of the point with polar coordinates (r, 0) = (10, 45°)?

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Q: • Make your own artwork on symmetry • 1 artwork - symmetric with respect to 0 = ", (y – axis) | 2 •…

A: The solution is given below

Q: Two points in the xy plane have Cartesian coordinates (2.00, -5.00) m and (-8.00, 8.00) m. (a)…

A: a) Using distance formula b) If (x,y)  are the coordinates of a point in Cartesian Plane, r is its…

Q: 4 Consider the point (5, –6) in rectangular coordinates. What is the radius in polar coordinates? (2…

A: Known fact: For a rectangular coordinate point x, y, the radius in corresponding polar coordinate is…

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

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Q: Find the polar coordinates (r, θ ) of the point whose rectangular coordinates are (x,y) = (-4,4).…

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Q: The origin in the rectangular coordinate system coincides with the_______ in polar coordinates.The…

A: Given: The origin in the rectangular coordinate system coincides with the_______ in polar…

Q: coordinates (-7,24), give three sets of polar coordiantes, two with positive angle measurements and…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Use the Distance Formula to approximate the distance between the two points in polar coordinates. 5,…

A: We are going to solve

Q: from Cartesian coordinates to Polar Coordinates

A: We first sketch (-3,-3)

Q: Use a graphing utility to find the rectangular coordinates of the point given in polar coordinates.…

A: Given : rectangular coordinate ( -4 , 5.66 ) Now we find Polar coordinates

Q: Describe the test for symmetry with respect to the polar axis.

A: The graph of a polar equation is symmetric with respect to the polar axis if replacing r, θ with r,…

Q: Plot the point in polar coordinates. ( 8, π/2) y y 10 10- 5 (8, я/2) (8, я/2) - 10 -5 10 - 10 -5 10…

A: Given: Polar coordinates: 8,π2

Q: convert the point from polar coordinates into rectangular coordinates (−1, π + arctan(3/4))

A: Answer and explanation is given below..

Q: Find the polar coordinates of a point with Cartesian coordinates (x, y) =

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Q: converts from cartesian coordinates (x, y) to polar coordinates (r, theta).

A: To convert Cartesian coordinate of any point (x, y) to polar coordinate (r, θ) We will use x = r…

Q: 7. The Cartesian coordinates of a point are (x,y), while its polar coordinates are (r,0). Determine…

A: Please see the answer in Step 2