18. Convert the following function given in Polar Coordinates into Cartesian form. r = 9 sin 0 csc² 0,r ‡ 0 Oy=9 x² + y = 9 9 xy = 9

Q: A student is asked to determine the polar coordinates (r, 8) corresponding to the Cartesian…

A: Let's find.

Q: Sketch the following polar functions a. r= 3+ 4 sin 0

A: Sketch the polar function : (a). r=3+4sinθ       We have, r=3+4sinθ        Its graph is :     (b).…

Q: Convert the cartesian coordinate (-6, – 1) to polar coordinates, 0 < 27

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Q: 45. The rectangular equation x² + y² - 2x=0 written in polar form is r = 2 cos.

A: The rectangular equation is x2+y2-2x=0

Q: Show that the curve r= sin(0) tan() (called a cissoid of Diocles) has the line x = 1 as a vertical…

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Q: 5. Consider the polar curves having the equations r = 3 sin and r = 1 + sin 0. a. Sketch the graphs…

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Q: 3. Find two different sets of polar coordinates (r. 8) for the point with Cartesian coordinates (x,…

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Q: Consider the polar curves C1 : r = −3 sin(2θ) and C2 : r = 3 sin θ. 1. What is the equation of the…

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Q: How many times do the graphs of the polar curves r=3 and θ=π/6 intersect?

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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: A family of curves has polar equations  ra  =  ∣ sin 2θ∣ where a is a positive number. Investigate…

A: The equation of the family of curves is ra=sin2θ, where a is a positive number. We need to visualize…

Q: The student should answer the question below: Evaluate the given function using polar coordinates…

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Q: Sketch with direction of the following functions r = f(θ) in polar coordinate. please sketch with…

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Q: pe of each polar curve. 2+2sin(@) 2+ 4 sin(6) 31 主典

A: Given  1) r=32+2sinθ 2) r=32+4sinθ 3)r=34+2sinθ 4) r=3

Q: 1. Sketch the graph of r = 2 sin(20) in polar coordinate system T/4 31/4 5T/4 7T/4 in the polar…

A: Consider the provided polar equation, Sketch the graph of the polar equation. Now make the graph of…

Q: Let z = 9(cos 2.3+isin 2.3). Write the following numbers in the polar form r(cos o + i sin ø), 0 < o…

A: Here, the given complex number is: z=9(cos 2.3+ sin 2.3) Comparing the number z with r(cos ϕ+i sin…

Q: Plot the following curves in polar coordinates. 50 (52) 1. r = 2 + cos

A: We have to graph the given polar curve.   According to our guidelines we can solve only one question…

Q: 13. Convert the polar equation to rectangular coordinates. (a) 1- 2 cos 0 (b) r = 9 sin 0

A: Consider the provided question, (13) (a) Convert the polar equation to rectangular form,