4. Eliminate the parameter I. Find a rectangular equation for the plane cum deflned by the following parametric equations: x=21.y=t+3:zslsa 0 A. y=%1-3:- Clef O B.y+1;25152 O c.y-%x+3;45x55 O D. y-21+3;' (at? ?. Find the standard form of the equation of the ellipse satisfying the fol towing conditions: Fuel: [-5. n}. (3. 0]: vertlees: [-l'. D}. {7.0} 0 A. +-1 12. To determine which is the major axis of I?! + g =1 which of these should you do? C A. Plug in 0 for it to nd the y intercepts: these will be the vertioes of the major axis. A e; 5. Compare a to b. and the larger goes with the major axis. 3- C. Translate the ellipse to the origin using (a. b]. e D. Find c usmg the relationship a2 + Dz = 02 to determine the locations of the foci 13. Find the standard form of the equation of the ellipse satisfying the following conditions. Foci: (0, -2), (0, 2); y-intercepts: -3 and 3 O A. 5 9 O B. 4 5 O X2 9 5 O D. X2 9 15. Two recording devices are set 3,800 feet apart, with the device at point A to the west of the device at point B. At a point on a line between the devices, 400 feet from point B, a small amount of explosive is detonated. The recording devices record the time the sound reaches each one. How far directly north of site B should a second explosion be done so that the measured time difference recorded by the devices is the same as that for the first detonation? O A. 906.67 feet O B. 1,857.42 feet O C. 5,415.26 feet O D. 1,882.03 feet 18. The arch beneath a bridge is semi-elliptical, a one- way roadway passes under the arch. The width of the roadway is 34 feet and the height of the arch over the center of the roadway is 10 feet. Two trucks plan to use this road. They are both 10 feet wide. Truck 1 has an overall height of 9 feet and Truck 2 has an overall height of 10 feet. Draw a rough sketch of the situation and determine which of the trucks can pass under the bridge. O A. Neither Truck 1 nor Truck 2 can pass under the bridge. O B. Both Truck 1 and Truck 2 can pass under the bridge. O C. Truck 1 can pass under the bridge, but Truck 2 can't. O D. Truck 2 can pass under the bridge, but Truck 1 can't.x+1 /x0 continuous everywhere? O A. Yes, a = e O B. Yes, a = 0 O C. Yes, a = 1 O D. No 9. An explosion causes debris to rise vertically with an initial velocity of 7 feet per second. The function s(/)= -16/2 + 112/ describes the height of the debris above the ground, s((), in feet, f seconds after the explosion. What's the instantaneous velocity of the debris when it hits the ground? O A. -112 feet per second O B. -224 feet per second O C. 224 feet per second O D. 112 feet per second 11. An explosion causes debris to rise vertically with an initial velocity of 4 feet per second. The function s(() = -16/2 + 64/ describes the height of the debris above the ground, s(t), in feet, t seconds after the explosion. What's the instantaneous velocity of the debris 3.3 second(s) after the explosion? O A. -41.6 feet per second O B. -105.6 feet per second O C. 105.6 feet per second O D. 41.6 feet per second16. The function f(x) = x3 describes the volume of a cube, f(x), in cubic inches, whose length, width and height each measure x inches. If x is changing, find the instantaneous rate of change of the volume with respect to x at the moment when x = 9 Inches. O A. 27 cubic inches per inch O B. 243 cubic inches per inch O C. 245.71 cubic inches per inch O D. 2,187 cubic inches per inch 19. The function /(x) = x3 describes the volume of a cube, f(x), in cubic inches, whose length, width and height each measure x inches. If x is changing, find the average rate of change of the volume with respect to x as x changes from 6 inches to 6.1 inches. O A. 73.83 cubic inches per inch O B. 109.81 cubic inches per inch O C. 4,429.81 cubic inches per inch O D. -109.81 cubic inches per inch 17. Compute lim -6 *-+ 10 O A. 0 O B. 10 O C. -6 O D. 6