Given the polar equation r = 1 + 2cos θ. i. Show that the graph of the equation is symmetrical to the x-axis ii. Use part (i.) to construct a table for (r, θ) with appropriate values of θ and sketch the graph of r = 1 + 2 cos θ. (Use the polar grid provided). iii. Sketch the graph r = 2 sin θ on the same diagram as in part (ii.).

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

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Q: For the rectangular coordinates (0,2), (a) plot the point, and (b) give two pairs of polar…

A: To find the polar coordinates we shall use the following transformation                      x=r cos…

Q: Name three different pairs of polar coordinates that also name the point, (-1,-), if-2 ≤ 0 ≤ 2π

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Q: Convert to an equation in polar coordinates of the form r = f (θ ). x = 5

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Q: 2. Determine if the graph is a simple graph. If it is not a simple graph, explain why. K2 y Write…

A: The given graph with vertices a,b,x,y is not a simple graph.

Q: -TC 3. Consider the polar coordinate given by (r, 0) = (8, -2). %3D a. Find another polar coordinate…

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Q: Speedometer readings for a vehicle (in motion) at 11-second intervals are given in the table. t…

A: This question is about integration as sum of limit .

Q: You plan to buy a car at purchase price $P with no down payment. You have a choice between 0% dealer…

A: Here, dealer financing is preferable.

Q: Which of the following represents the polar equation r= (tan²0)(csc) as a rectangular equation?

A: We know that the polar and rectangular relation  x=r*cos(theta)  And  y=r*sin(theta)

Q: ************ **** Plot the point that has the given polar coordinates. (2, ) R/2 R/2 T/?

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Q: Find the rectangular coordinates of the point with polar coordinates r = 3 and theta = pi/6 A. (sq.…

A: The given polar coordinates,        r=3 and θ=π6

Q: Sketch the polar curves r= 9 sin 0 and r 4-9 sin 0. Indicate the co- ordinates of all r and y…

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