Page 335 - Calculus Demystified

Final Exam
322
42. An arrow is shot straight up into the air with initial velocity 50 ft/sec. After
how long will it hit the ground?
(a) 12 seconds
(b) 25/8 seconds
(c) 25/4 seconds
(d) 8/25 seconds
(e) 8 seconds
2
43. The set of antiderivates of x − cos x + 4x is
x 3
2
(a) − sin x + 2x + C
3
2
3
(b) x + cos x + x + C
x 3
2
(c) − sin x + x + C
4
2
(d) x + x + 1 + C
x 3
2
(e) − cos x − 2x + C
2

ln x
44. The indefinite integral + xdx equals
x
2
2
(a) ln x + ln x + C
2
ln x x 2
(b) + + C
2 2
1
(c) ln x + + C
ln x
(d) x · ln x + C
2
2
(e) x · ln x + C

2
45. The indefinite integral 2x cos x dx equals
2
(a) [cos x] + C
2
(b) cos x + C
2
(c) sin x + C
2
(d) [sin x] + C
(e) sin x · cos x
4
2
46. The area between the curve y =−x + 3x + 4 and the x-axis is
(a) 20
(b) 18