x 2 B₂ B₁ Given: B₁:r 4 cos² 0 and B₂:r-2-2 sin 0 (intersecting at point X, Y and Z) *Find the polar coordinates of the points X and Y

Q: Let z = 7 (cos (7π/9) + i sin (7π/9))  and w = 6 (cos (2π/3) + i sin (2π/3)).  If zw is expressed…

A: Introduction: A complex number has many different representations. These are the rectangular…

Q: Use the symmetry test on the equation r (y axis, polar axis, pole). r = 2-4 sin² 0

A: Follow the steps below to check the symmetry of the graph: r=fθ. Substitute (r,θ) with (r,π-θ) to…

Q: Use a graphing utility to convince yourself that the polar equations r = f1(θ) = 2 cos θ − 1 and r =…

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Q: B/Test the symmetric of polar equations: 1- r= 1+5 cos 0 2- r= 3 sin 0

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Q: r = 2 cos 0 – sin 0 by the equivalent Cartesian Replace the polar equation equation. Then describe…

A: Polar coordinates transformation to Cartesian coordinates

Q: Write the given polar equation in cartesian form (in terms of x r – 1= cos 0 = Cos 2- y? – 1 = x²…

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Q: Find all the intersection points of polar equations r= √2 + sin(theta) and r= 3sin(theta)

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Q: Express the following Cartesian coordinates in polar coordinates in two ways. (2,-2√3) Select all…

A: Given query is to find polar coordinates.

Q: Convert (−2, −9) to polar coordinates.

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Q: (a) Convert the point whose polar coordinates are (8, 37/4) to rectangular coordinates. 2 = ( [ (x,…

A: (a). Given that the polar coordinates are 8, 3π4.

Q: Determine in polar coordinates the center and radius of the circle r2 + 4r cos(θ) − 4√3 r sin(θ) −…

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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…