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: Draw phe Polar curve defind by r=4+2 Cos 36

A: Given:

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: A curve with polar equation r=48/6sinθ+25cosθ represents a line. This line has a Cartesian equation…

A: Given that, the polar equation is r=486sinθ+25cosθ. Convert the polar equation as Cartesian equation…

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 curve with the given polar equation, r = cos(2Theta).

A: The given polar equation is: r=cos2θ. We have to sketch the curve.

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

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Q: 1- Convert the polar equation to a Cartesian equation: a. r=4 sin 0 b. 0 = T/4 c.r = 5 d. r sin (20)…

A: While dealing with polar and cartesian equations, we should know these basic things x=r cosθy=r sinθ…

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: 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

A:

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: 10. Consider the Cartesian point (-2,-2). Determine the polar coordinates of this point.

A: Use cartesian to polar coordinate

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: 18. Graph (-1, 5T/4) on the attached polar graph grid. Then find another pair of polar coordinates…

A: The polar coordinates can be written as: r, θ : r&gt;0-r, θ+π : r&lt;0 And the graph for the above…

Q: Which of the following polar equations describes a circle centered at (G, 5) with radius 2 O r =…

A: Given, center=(12,12) radius=12