1. Find polar coordinates for the point in Cartesian coordinates (1, -1).

Q: (a) Consider the point in rectangular coordinates given by (-2, 2). Write this point in polar…

A:

Q: The rectangle coordinates for the polar point (4,3.14/2)is

A: Given polar point is (4,π2) this is (r,θ)We know that x=rcosθ and y=rsinθSo, x=4*cos(π2)…

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 the line y = 4x + 6 in terms of rand 0.

A: We have to convert the given rectangular equation into polar equation.

Q: Plot the points whose polar coordinates are given and label each point. (Picture is attached)

A: here the given points

Q: 3. Find the polar form of the Cartesian equation: x² + y² = (3 + 2x)² %3D

A: Solution-

Q: Convert the point with Cartesian coordinates (- 3/3, - 3) to polar coordinates. Enter exact values…

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Q: Identify the polar curve r = csc 0 by finding a Cartesian equation.

A: The given curve is r=csc θ.

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

A: Use cartesian to polar coordinate

Q: Convert the polar coordinates (-8, 2π/3) into rectangular coordinates. Convert the rectangular…

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Q: Convert the point whose polar coordinates are (8,") to rectangular coordinates.

A: The polar coordinate (8,5π4) represents that the distance of the point from origin in the polar…

Q: Consider the polar coordinates (r, 0) = (6, pi/4) . Provide two new pairs of polar coordinates that…

A: Given, polar coordinates (r, θ) = (6, pi/4)   The two new pairs of polar coordinates that describe…