Note: i = and j = 1. Convert the point whose polar coordinates are (V3, ?) to to rectangular coordinates. (A) 3 V3 2 ' ( B ) (21 2) (0 ) ( 3 , V3 ) ( D ) ( V3 , " ) ( E ) (V3 3 2. Which of the following polar coordinates is not equivalent to this one: (3, " )? (A) (3, 3 ( B ) - 3 , 3 ( C ) (3 , 57 ( D ) - 3 , 107 3 (E) (3, 137 3. A block of ice weighing 100 lbs is airlifted by a helicopter onto an inclined plane with an angle of 50 (see diagram). It slides 80 ft to the bottom of the slope. How much work, in ft-lbs , is done by gravity as it slides? ICE 50 (A) 5142.301 (B) -5142.301 (C) 6128.356 (D) -6128.356 (E) None of these 4. Express the equation r = 6 sin 0 in rectangular form. (A) a2 + (y - 3)2 = 36 (B) x2 + 32 =6 (0) 22+ (y -3)2 =3 (D)(2- 3)2+2=9 (E) None of these5. Let u be the vector with its tail at P(1, 4) and its head at Q(7, 3). Express u in terms of i and j. (A) u = 6i-j (B) u = -61+7j (C) u = -31-2j (D) u= -6i+j (E) u = 81+7j 6. Given that the forces F1 =, F2 =, and F3 = are acting on a point P, find the resultant force. ( B V E ( A ) nooo islog antwolfof gift to dont W/ s (A) (18, 14) (B) (-10, -6) (C) (-10, 6) (D) (-18,6) (E) (18, -6) 7. Find u . 7 if u = (-3, 2) and v = (6, -2) (A) 22 (B) 13 (C) -22 (D) 14 (E)-14 8. Find the angle between u and v, if u = (-5, 3) and v = (v2, 7), to the nearest hundredth. (A) 46.370 (B) 80.60 (C) 70.46 (D) 19.51 (E) 33.469. Is u = (-1/2, 2) orthogonal to 7 = (2, -1/2)? Justify your conclusion. No justification, no credit. (A) Yes, they are orthogonal. (B) No, they are not. 10. For the pair of parametric equations, find a rectangular-coordinate equation by eliminating the parameter. x = 5 sec(t) , y = 5 tan(t) (A) cty = 5 (B) x2 - 32 =25 (C) 22+ 2 =25 (D) x2- 32 =5 (E) 22+ 32=5 11. Find parametric equations for the line of slope -4/5 passing through the point (7, -1). (A) x = 7- 5t, y = 1+4t (B) x = 5t, y = -1+4t (C) x =5 - 7t, y =-1-t (D) x = 7 - 5t, y = -1+4t (E) x = -7-5t, y= 4t -1 Page 312. At which point(s) do the graphs of r = 2 cos and r = -2 sin 0 intersect? Circle all that apply. got your est (A) (A ) ( V2, #) ( B ) ( V2, 32) ( 0) ( V2, 57) (D) ( V2, I) (E) ( - V2, -32) 13. Find the direction of the vector