4. What is a particular solution of the indefinite integral/ V1- that passes through the point (2 -;)7 A. F -6 - 12- 1 C. y -5 min 's- S. Find the equation of the tangent line to the graph of (x) = arctan(5x) when DO- 6. Use integration to find a general solution of = = Its majer'), 7. A rectangular bank with a base of 4 feet by 4 feet and a height of 4 feet is ful of water. The water weighs 62.4 pounds per cubic foot. How much work is done in pumping water out over the top edge in order to empty half of the tank? Round to one decimal place. A. 795.2 fi-b B. 1996.8 0-b C. 2411.2 fl-b D. 2012.3 1- 8. True or False: The function y = 0 is always a solution of a differential equation that is soparable A. True B. False9. Find the volume of the solid obtained by rotating the region bounded by 1 =3,/5 and x = 4 about the yards. 304r 192 10. Find the time (in years] necessary for $1,000 to double if it is invested at a rate of 6% compounded continuously. Round to two decimal places. A. 1.16 years B. 11.55 years C. 1.39 years D. 11.90 years 11. The logistic function Pegg # models the growth of a population. Identify the Initial population. A. 6 B. 8 C. 3 D. 24 12. What is the derivative of tan" x? A. - B. - 13. Evaluate 3 cosh" 6 to the nearest thousandth. A. 7.434 B. 2.478 C. 3.537 D. 10.01218. A cannon fires a cannonball. The speed of the cannonball will be the same as the speed of the recoiling cannon because A. the mass of the cannonball equals the mass of the cannon. B. momentum is not conserved. C. velocity is conserved. D. the mass of the cannonball is one-fourth the mass of the cannon, 19. An orange is dropped at the same time and from the same height that a bullet is shot horizontally from a gun. Which of the following is true? A. The acceleration due to gravity is greater for the orange because the orange is heavier. B. Gravity acts less on the bullet than on the orange because the bullet is moving so quickly. C. The velocities will be the same. D. The two objects will hit the ground at the same time. 20. The Coriolis effect is a consequence of A. the revolution of the Earth. B. tides. C. the rotation of the Earth. D. planetary retrograde motion. 21. Which of the following conditions are met when a projectile reaches its maximum height? A. The horizontal acceleration is zero and the vertical velocity is 9.81 mis?. B. The horizontal acceleration is 9.81 m/'s and the vertical acceleration is zero. C. Both the horizontal acceleration and vertical component of velocity are D. Both the horizontal and vertical accelerations are 9.81 m/s2. 22. When an ice skater pulls in his hands to turn faster A. angular momentum is not conserved. B. his momentum of inertia does not change. C. his rotational speed changes. follows 23. When a wrench is slid spinning over a frictionless tabletop, its center of mass A. a curved path with regular speed. B. a wobbly path with Irregular speed. C. its center of mass moving in a regular straight-line path. n a chained ling nath nath le24. If force is applied to an object's center of mass, then torque is A. maximum. B. zero C. 1. D. infinity. 25. Which rolls to the bottom of a hill more quickly. a car tire alone or the same tire mounted on a rim? A. the mounted tire, regardless of the individual weights of tire and rim B. the fire alone, provided it is as heavy as the rim C. the mounted tire, provided the tire is lighter in weight than the rim D. the tire alone, regardless of its weight 26. A ball is launched at 3.8 mis at 56' above the horizontal. What is the total flight time of the ball? A. 0.56 s B. 0.65 s C. 0.71 s D. 0.78 8 27.A 1000-kg car enters an 80.0-m-radius curve at 20.0 m/s. What centripetal force must be supplied by friction so the car does not skid? A. SON B. 2.5 x 102N C. 1.0 x 10'N D.5.0 x 103N 28. The angular momentum of a space habitat increases when the rotational speed A. stays the same. B. is one-half the space habitat's center of gravity. C. decreases. D, Increases. 20. Angular velocity is expressed in what SI units? A. degree par socond B. rotation por gocond C. radians per second D. revolution per second