. (a) Find the eccentricity and the distance from the pole to the directrix and sketch the plot in polar coordinates. (i) r = (ii) 3+3sine r = 3-2cose

Q: 13πt Match the point in polar coordinates 3, 4 04(3, 1) 3π 4 C(3, -t) D(-3, =) OB 3, OD Ś to the…

A: This question can be solved using the concept of polar coordinates.

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: C) Replace the following polar equation by equivalent Cartesian equation. rsine Inr + In cose %3D

A: We can replace the given polar equation by equivalent Cartesian equation as below.

Q: = 4 sec 0. Find the Cartesian equation for the polar curve r =

A:

Q: Convert the polar equation to rectangular form. 0 = Select one: a. V3r + y = 0 O b. r2 + y? = 16 ||…

A:

Q: The following three points are given in polar coordinates. What are the Cartesian coordinates of…

A:

Q: 9. Sketch the polar curves r = 5sine and r = 5 sin(30) on the same grid below.

A: The given polar curves are  r=5sin(θ)r=5sin(3θ)

Q: 6. Find a Cartesian equation for the polar curve and describe its shape: r= 3csce

A: The given equation,              r=3 cscθ

Q: (1, √3) (a, b) = (-2, (-2,√3) (2√3, 2) (√3, 1) (√3, -1) - (a, b) - (a, b) = - (a, b) = (-1, √3) (a,…

A: Given query is to find the Cartesian coordinates of the point P.

Q: Find a polar equation for the curve given by the Cartesian equation Y = 4x²

A: