The rectangular coordinates of a point are given. Plot the point. (-7, -7√3) O O -10 (r, 0) = -10 -5 -5 y 10 5 -5 -10 -15F y 15 10 5 -56 -10 5 5 10 10 (larger r-value) Find two sets of polar coordinates for the point for 0 ≤ 0 < 2π. (r, 0) = (smaller r-value) X X -10 -10 -5 -5 y 15 10 5 -5 -10 y 10 5 -5 -10 -15F 5 5 10 10 X

1. Find an equation of a line through the point (-1,4) making an angle of radian measure 1/4 with the linehaving an equation 2x+y-5=0.a. 3x + y + 1 = 0, x + 2y - 7 =0b. 3x - y + 1 = 0, x + 3y - 11 =0c. 2x - 3y - 14 = 0, x + 3y - 11 = 0d. 2x - 3y + 14 = 0, x + 3y - 11 =0   2.  Find the polar equation of the circle with radius 3/2 and the center in polar coordinates at (3/2,π).    3. Find the angle between the lines AB and CD, where A: (2,-4,3), B: (-1,3,-2), C: (5,-2,1), D: (4,1,6).    a. 90 b. 91.06 c. 81.05 d. 85.5   4. Find the angle between the planes 4x-2y+6z+15=0 and 15x+10y-5z-27=0.a. 82◦b. 83◦57′c. 85◦54′d. 87◦54′

3 The point P (5, -1) is rotated 90° clockwise around the origin. What are the coordinates of the resulting point, P'? (-1, -5) (-1, 5) (-5,-1)

The rectangular coordinates of a point are given. Plot the point. (Select the correct graph.) (-3,-3√3) -6 O -4 smaller 8-value -2 larger 8-value y 6 4 2 -2 -4 -6F 2 (r, 8) = 4 6 X Find two sets of polar coordinates for the point for 0 ≤ 0 < 2π. (r, 8) = -6 O -4 -2 y 4 2 -2 -4 -6 2 4 6 X @O -6 -4 y 4 2 H -6 X -2 2 4 6 -2 -4 -61 -4 -2 y 2 -2 -4 2 4 6 X