(a) Find parametric equations of the portion of the circle of radius 2, centered at (1, 2), joining the points (1,0) and (-1,2), oriented counterclockwise. (b) Identify and sketch the polar equation r = csc 0 cot 0 by transforming to rectangular coordinates.

Q: 57 7. (a) The polar coordinates of a point are 4, Find the Cartesian coordinates of the point. 6.…

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Q: 4. (a) Plot the following points in the same polar coordinates system (b) Convert into rectangular…

A: To convert the polar coordinates r,θ to rectangular coordinates x,y then x=rcosθ and y=rsinθ

Q: Find the polar coordinates of the center of an ellipse with polar equation r = 8/(4+2cos(theta)).

A: Polar coordinates uses (r, theta) instead of the usual cartesian coordinates (x, y). r is the…

Q: 4) Convert (4, 4) and y = x into polar coordinates, and convert (-2, 4) and r = sec 0 into Cartesian…

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Q: Question 1 > Convert the Cartesian coordinate (-6,-3) to polar coordinates, 0 0 r = Enter exact…

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Q: What are the standard equations for lines and conic sections in polar coordinates? Give examples.

A: The standard polar equation for lines is given by

Q: Solve parts a) and b). a) Find all polar coordinate representations (r.0) where 0ses 2n of the…

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Q: First, convert the equation into polar coordinates then sketch a graph of the rectangular equation.…

A: Consider the given equation. x2+y2+x22=16x2+y2

Q: The Cartesian coordinates of a point are given. (a)     (−9, 9)   (i) Find polar coordinates  (r,…

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Q: Question 6 Prior to running the Boston Marathon, a runner's personal best pace for a race is 10…

A: Given that Prior to running the Boston Marathon, a runner’s personal best pace for a race is 10…

Q: Plot the points in polar coordinates » (1) (a) (4, x) (6) (-25) -5 (c) (3,

A: Polar coordinates are always mentioned in the form of r,θ. Where, r=radius of circle.θ=angle of…

Q: 5) (a) Write x²+(y-2)² = 9 an equivalent equation using polar coordinates. (b) Writer = 4 csc an…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find polar coordinates (r,\theta ) of the point in rectangular form given by

A: Topic:- polar coordinates

Q: Find the polar coordinates of the points whose cartesian coordinates are  (i) (-2,-2) (ii) (-3,4)

A: Find the polar coordinates of the points whose cartesian coordinates are  (i) (-2,-2) (ii) (-3,4)

Q: Find a polar coordinate representation for the rectangular point (11, 2).

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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…