Given the polar curves: C₁:r = 2 cos 0 ग 2 A(2,0) C2 B(0,0) C₂:r = 2 cos 30 Find the Cartesian equation of the line tangent to C2 at the point where: 2π 0 = 3

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: N(-3, 3*) 3. Find the equation of the line in polar coordinates that passes and the pole.

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Q: 2. In both parts, full marks will only be obtained if exact answers are given in terms of . √2 etc.…

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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: ). vert the following equation to polar coordinates. Your answer should be expressed in the format r…

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

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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: Evaluate the inverse Laplace transforms of the following: [2 s+9' s-5 1 4 1. 1 7 2. G 20 [s+35s-3 6s…

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Q: Plot the poing (5/2, 5root3/2) and give polar coordinates for the poing where 0<theta < 360

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Q: Sketch the polar curve 0=1

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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: (ь) (-6, 1/2) (r, 8) (r> 0) (r. 8) = (r< 0) y 2.0- -1.0 -0.5 0.5 1.0 1.5 1.0 -8 0.5- -10 -12- o-1.0…

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Q: Sketch the curve given in polar coordinates. r = 2 + 4sine , 0 < 0 < 2n

A: Consider the polar curve  r=2+4sinθ                             0≤θ≤2π

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: Replace the polar equation with an equivalent Cartesian equation. r= 40 sin 0

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