QUESTION 1 Converting from Rectangular Coordinate to Polar Coordinate Choose one . 4 points Change p = (1, 13) from rectangular coordinate to polar coordinate O p = (@, T) = ( " , 2 ) O p = (@, T) = ( O P = (@, T) = ( 4 )QUESTION 2 Converting from Polar to Rectangular Coordinate Choose one . 4 points Change p = (#, 2) from polar coordinate to rectangular coordinate O P(I, y) = (1, V/3) O P(1, y) = (V3,1) O P(I, y) = (-2. 2) QUESTION 3 Converting from Cylindrical Coordinate to rectangular Coordinate Choose one . 4 points Change p = (1, ", 2) from cylindrical to rectangular coordinate O V2 P = (2: 2:2) O P = (V/2, V/2, 2) O P = (V2 2 , 1 )QUESTION 4 Converting from rectangular Coordinate to Cylindrical Coordinate Choose one . 4 points Change p(1, 1, 1) from rectangular to cylindrical coordinate (p, p, z) O p = (1, #, 1) O P = (1, ~, 1) O P = (V/2, 7, 1) QUESTION 5 V Converting from Spherical Coordinate to rectangular Coordinate Choose one . 4 points Change p = (1, ", 7) from spherical to rectangular coordinates. O P(I, y, 2) = (-1, 0, 0) O P(I, y, 2) = (0, 0, 0) O P(I, y, z) = (1, 0,0)QUESTION 25 Quadric form Choose one . 4 points Express the quadric form f (x, y) = 3x2 + 2xy + 6y2 in matrix form , f(x) = x Ax where where x = y and calculate of( 3) a(2 Ax) Ox Ox O f(z) = 1Ax = (7 6) , =[62+ 4y 41 + 12y] O 1(2 ) = 2 " AZ = 1" ( 3 8 ) = , 84 - (3 8) O 31 = [6: + 2y 2x + 12y]