Find the indefinite integral.
140)
(–4 sin t + cos 3t) dt
140)
A)
4 cos t +3 sin 3t + C
B)
–4 cos t –3 sin 3t + C
C)
4 cos t –1
3 sin 3t + C
D)
4 cos t +1
3 sin 3t + C
Convert the angle from degrees to radians. Express the answer as a multiple of .
141)
510°
141)
A)
17
3
B)
17
5
C)
17
12
D)
17
6
142)
Find the equation of the tangent line to the graph of f(x) = tan x at
4, 1 .
142)
A)
y = 2x –
2
B)
y = 2x +
2
C)
y = 2x – 1
D)
y = 2x + 1 –
2
E)
none of these
Find the derivative of the function.
143)
y =5 cos 3x
143)
A)
dy
dx = – 5 sin 3x
B)
dy
dx = – 15 sin 3x
C)
dy
dx =3 sin 3x
D)
dy
dx =15 sin 3x
Convert the angle from degrees to radians. Express the answer as a multiple of .
144)
630°
144)
A)
7
2
B)
–7
2
C)
–7
4
D)
7
Integrate.
145)
sec2(1 – 2x) dx
145)
A)
–2 tan(1 – 2x) + C
B)
2 tan(1 – 2x) + C
C)
tan(1 – 2x) + C
D)
–1
2tan(1 – 2x) + C
E)
none of these
Differentiate.
146)
sin x4– 1
146)
A)
1
2 sin 1
x4– 1
B)
4x3 sin 1
x4– 1
C)
2x3 cos x4– 1
x4– 1
D)
cos x4– 1
147)
Find the slope of the line tangent to the graph of y = sin
2– x – cos x at x =
4.
147)
A)
0
B)
1
2
C)
2
D)
2
2
Find the indicated trigonometric function, where is the radian measure of the given angle. Give an exact answer with a
rational denominator.
148)
Find sec .
3
2
148)
A)
313
2
B)
13
3
C)
213
13
D)
313
13
Find the indefinite integral.
149)
sin 2t dt
149)
A)
–1
2 cos 2t + C
B)
–cos t + C
C)
–1
2 cos t + C
D)
–2 cos 2t + C
A
150)
Determine the value of sin t when t =11
2.
150)
A)
0
B)
1
2
C)
–1
D)
1
E)
none of these
C
B
Differentiate.
151)
(sin x)7
151)
A)
7(sin x)6
B)
7(sin x)6 cos x
C)
7(cos x)6 sin x
D)
7(cos x)6
152)
In a large city, the amount of sulfur dioxide pollutant released into the atmosphere due to the
burning of coal and oil for heating purposes is given approximately by P(t) = 3 + cos t
26 for
0 t 104, where P(t) is the amount of sulfur dioxide in tons released during the nth week after
January 1. How many tons (to the nearest ton) of pollutants were emitted into the atmosphere from
t = 0 to t = 65?
152)
A)
203 tons
B)
221 tons
C)
4 tons
D)
196 tons
Find the indefinite integral.
153)
3 sin 4x dx
153)
A)
3
4 cos 4x + C
B)
3 cos 4x + C
C)
–3
4 cos 4x + C
D)
–12 cos 4x + C
Solve the problem.
154)
The motion of a spring–mass system is described by the equation y =14 sin t –
4, where y is the
distance in feet from the equilibrium position and t is time in seconds. Find the velocity of the mass
at time t = 3/4 seconds. Is the mass moving toward or away from its equilibrium position or
neither?
154)
A)
0 feet/second; neither
B)
0 feet/second; away from equilibrium position
C)
–14 feet/second; toward from equilibrium position
D)
14 feet/second; away from equilibrium position
Find the indefinite integral.
155)
(sin x + cos x) dx
155)
A)
2cos x + C
B)
sin x – cos x + C
C)
cos x – sin x + C
D)
2sin x + C
E)
none of these
156)
cos( – 3x) dx
156)
A)
–sin ( – 3x) + C
B)
1
3 sin ( – 3x) + C
C)
–1
3sin ( – 3x) + C
D)
3 cos (– 3x) + C
E)
none of these
Convert the angle from degrees to radians. Express the answer as a multiple of .
157)
162°
157)
A)
5
B)
C)
10
D)
5
Differentiate.
158)
f(x) =e3x tan(x2)
158)
A)
3exsec2x2
B)
3e3x tan x2+ 2xe3x sec2(x2)
C)
6xexsec2x2
D)
3ex tan x2+e3x sec2x2
E)
none of these
Integrate.
159)
exsec2(ex) dx
159)
A)
tan2(ex) + C
B)
tan(ex)
ex+ C
C)
ex tan(ex) + C
D)
tan(ex) + C
E)
none of these
Find the derivative of the function.
160)
y = sin 2x
160)
A)
dy
dx = cos x
B)
dy
dx =2 cos x
C)
dy
dx = cos 2x
D)
dy
dx =2 cos 2x
Answer Key
Testname: C8
Answer Key
Testname: C8
40
Answer Key
Testname: C8
41
Answer Key
Testname: C8
Answer Key
Testname: C8