The polar equation of the circle with Cartesian equation x² + y2 = 100 is:« A r= 100- В r= 10 sin 0 C r = 104 D r= 10 cos 0 C p2 + cos? 0 = 10

Q: Convert the equation rsin 0 = ln r + ln cos 0 from polar to cartesian.

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Q: For each point (x,y), give two sets of polar coordinates, where 0<=theta<=2pi problem : (3√3,-3)

A: Polar coordinates.

Q: calculate the area of polar equation r = 5-sin(theta)

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Q: Write in polar form: 8· (cos(155°) + i sin(155°)) 3. (cos(190°) + i sin(190°)) · (cos( ') + i sin(

A: Given, 8·cos155°+isin155°3·cos190°+isin190°

Q: Q2\ Replace the following polar equation by equivalent Cartesian equation and identify their graphs…

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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: TRUE OR FALSE. The polar equations r = cos 3θ -2 and r = 2-cos 3θ represent the same graph.

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Q: 3 plot the polar graph r=2(1-sino) %3D

A: Given : Graph = 2 (1-sinθ)

Q: 10) Given the polar equation r = 8 sin 0 a) Graph it, and b) Express it in rectangular coordinates.…

A: Given: r=8sinθ

Q: Convert to polar coordinates where r>0 and 0 <0 < 2n . (0, 3) OLATEX:…

A: The given coordinate point is (0,3)

Q: Do a complete analysis to determine the points of intersection of the polar curves r = 4 sin 0 and…

A: We need to find the points of intersection. So,              4sinθ=1+2sinθ⇒sinθ=12⇒θ=π6+2πn,…

Q: Write the following numbers in the polar form re", 0 <0 < 2T: 1 (a) 2 r= ,0 %3D (b) 4 + 4i r3= ,0 =…

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Q: to rectangular coordinates.

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Q: he polar equation for circle x^2+(y- 3)^2 =9

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Q: Express the following in polar form): (iii) (cos 300° + i sin 30"). 2 i) sin 60° + i cos 60° (ii)…

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Q: Ship X left the harbor at a speed of 25 n.m/hr Northeast while Ship Y is already in the ocean at…

A: We will draw diagram and then use co ordinate and trigonometry tp find required values

Q: Q1// Converting r= 12 cos 0 r = 12 cos 0 from polar to the equation of a circle?

A: Given problem:- Converting r = 12cos(θ) from polar to the equation of a circle?

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

A: Topic:- polar coordinates

Q: 2) Sketch the graph of the curve with the polar equation: r= 2– sin(20).

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Q: Find the exact length of the polar curve. r = theta^2,    0 ≤ ,theta ≤ pi/4

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