Consider the polar curves represented by r = 2 and r = 3+2 cos(0). (a) Let R be the region common to both. Find the area of R.

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: 11) Find the rectangular form of the polar equation: r = sin 0 + cos 0

A: Given: r = sin θ + cos θ To find: The rectangular form of the given polar equation.

Q: 3. Draw the polar curve r = 3 +sin 30

A: Solution: The objective is to graph the polar curve r=3+sin(3θ)

Q: Match the points in polar coordinates (r,θ) which represent the same point. (1,5π/4) =…

A: We have to match the points in polar coordinates (r,θ) which represent the same point.…

Q: Find and plot the Cartesian coordinates of the following point with polar coordinates (2, -n/2)

A: Here given polar coordinate as r, θ=2, -π2

Q: Transform the polar equation T into rectangular coordinates 5 3 sin 0-4 cos

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Q: A road is shaped in the shape of the cardoid r=1000(1+cos(theta)) (polar coordinate form of the…

A: Given,

Q: Find the polar equation of x = - y? and identify its graph.

A: Given, curve x = -y2To find the polar equation, we will replace x with rcosθ and y with rsinθ in the…

Q: Sketch the polar curve 0=1

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Q: rl+ 4sino

A:

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: Sketch the polar curve defined by the equation r =1+2cos(3t).

A: We will sketch the polar curve by finding the value of ' r ' for different ' t ', t varies from 0 to…

Q: What type of polar curve is the polar equation r = 3 - 3 sin (0)? rose O lemniscate limacon cardiod

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Q: 1. Transform the polar equation 4 cos 0 cos² 0 + 1 into its Cartesian form and identify the curve.

A:

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: Calculate the slope of the polar curve  r=4cos3θ  at the point where θ=5π/6

A: