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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Determine algebraically whether the function is even, odd, or neither even nor odd.
1) f(x) = -0.98x2 + ∣x∣ + 4
1)
A) Neither
B) Even
C) Odd
Find the asymptote(s) of the given function.
3x2 + 2
2) f(x) =
horizontal asymptotes(s)
3x2 - 2
2)
B) y = -2
A) None
C) y = 2
D) y = 1
State how many complex and real zeros the function has.
3) f x = x4 - 18x3 + 82x2 - 18x +81
3)
A) 4 complex zeros; all 4 real
B) 4 complex zeros; 2 real
C) 4 complex zeros; 1 real
D) 4 complex zeros; none real
Perform the requested operation or operations.
1
4) f(x) =
; g(x) = x
x-7
4)
Find f(g(x)).
1
x-7
A) f(g(x)) =
C) f(g(x)) =
B) f(g(x)) = (x - 7) x
x
x-7
D) f(g(x)) =
1
x-7
Fill in the blanks to complete the statement.
5) The graph of y = -3x3 + 7 can be obtained from the graph of y = x3 by vertically stretching by a
factor of ? ; reflecting across the ? -axis, and shifting vertically ? units in the ? direction.
A) -3; x; 7; downward
B) 3; y; 7; upward
C) 3; x; 7; upward
D) 7; x; 3; upward
5)
Solve the problem.
6) The radius of a car wheel is 12 inches. How many revolutions per minute is the wheel making
when the car is travelling at 40 mph. Round your answer to the nearest revolution.
A) 5529 rpm
B) 560 rpm
C) 1261 rpm
6)
D) 9 rpm
Find the zeros of the function.
7) f x = x3 + 12x2 + 47x + 60
A) -1, -4, and -5
7)
B) -3, -4, and -5
C) 0, 3, 4, and 5
A-1
D) 3, 4, and 5
Match the equation with the appropriate graph.
6x
8) f(x) =
2
x -1
8)
A)
B)
10
y
10
10 x
-10
y
10 x
-10
-10
-10
C)
D)
10
y
10
10 x
-10
y
10 x
-10
-10
-10
State the domain of the rational function.
x-1
9) f(x) =
x2 + 2x
9)
A) (-∞, 1) ∪ (1, ∞)
B) (-∞, 2) ∪ (2, ∞)
C) (-∞, -2) ∪ (-2, ∞)
D) (-∞, -2) ∪ (-2, 0) ∪ (0, ∞)
Evaluate the logarithm.
4 1
10) log2
4
A) - 2
10)
B) -
1
2
C)
1
2
D) 2
Describe how to transform the graph of the basic function g(x) into the graph of the given function f(x).
11) f(x) = - 9 ln (- x);
g(x) = ln x
11)
A) Reflect across the x-axis and translate 9 units down.
B) Reflect across the y-axis and vertically stretch by a factor of 9.
C) Reflect across the x-axis and the y-axis and translate9 units down.
D) Reflect across the x-axis and the y-axis and vertically stretch by a factor of 9.
A-2
Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all
variables represent positive real numbers.
1
12) loga x + 5 loga y - 3 loga x
12)
2
A) loga x5 y5
B) loga
y5
x5/2
C) loga
x y5
D) loga x3 y5
The graph is that of a function y = f(x) that can be obtained by transforming the graph of y =
function f.
x . Write a formula for the
13)
13)
y
10
5
-5
-10
5
10
x
-5
-10
A) f(x) =
-x + 8
B) f(x) =
-x + 8
C) f(x) = -
x+8
D) f(x) = -
x+8
Solve the problem.
14) An open-top rectangular box has a square base and it will hold 101 cubic centimeters (cc). Each
side has length x cm, and it has a height of y cm.
Express the surface area as a function of the length x of a side of the base.
404
202
101
A) 404 + x2
B)
C)
D)
+ x2
+ x2
+ x2
x
x
x
Rewrite the expression as a sum or difference or multiple of logarithms.
4
13
15) log5
s2r
A)
1
log5 13 - 2 log5 s - 2 log5 r
4
B)
C) 4 log5 13 - 2 log5 s - log5 4
14)
15)
1
log5 13 - 2 log5 s - log5 r
4
D) log5 13 - log5 s - log5 r
Find all solutions to the equation.
16) 8 sin2x - 16 sin x + 4 = -4
π
A)
+ 2nπ | n = 0, ±1, ±2, ....
2
C)
16)
B) nπ | n = 0, ±1, ±2, ....
π
3π
+ 2nπ,
+ 2nπ | n = 0, ±1, ±2, ....
4
4
D)
A-3
π
+ nπ | n = 0, ±1, ±2, ....
2
Solve the problem.
17) The minute hand of a clock is 7 inches long. What distance does its tip move in 23 minutes?
161
161
23
23
A)
π in.
B)
π in.
C)
π in.
D)
π in.
30
60
420
210
17)
Find the exact value of the composition.
18) arccos[sin(π/6)]
1
A)
2
18)
π
B)
3
π
C)
6
3
D)
2
Evaluate without using a calculator by using ratios in a reference triangle.
2π
19) tan ()
3
A) -
3
3
B)
3
3
C) -
3
19)
D)
3
Find the value of the unique real number θ between 0 and 2π that satisfies the given conditions.
3
20) tan θ = and cos θ > 0
3
A)
7π
6
B)
5π
3
C)
11π
6
D)
5π
6
Simplify the expression.
sec x cos x
21)
sin x sin x
A) tan x
20)
21)
B) csc 2 x
C) cot x
D) -tan x
Write each expression in factored form as an algebraic expression of a single trigonometric function.
22) sec4 x + sec2 x tan2 x - 2 tan4 x
A) sec2 x + 2
22)
B) tan2x - 1
C) 4 sec2 x
D) 3 sec2 x - 2
Find all solutions in the interval [0, 2π).
23) sec2 x - 2 = tan2x
π
A) x =
3
23)
B) x =
π
6
C) x =
24) 7 tan3 x - 21 tan x = 0
π 2π
4π 5π
A) 0, ,
, π,
,
3 3
3 3
C)
π
4
D) No solution
24)
π
6π
B) 0, , π,
5
5
π 2π 4π 5π
,
,
,
3 3 3
3
D) 0,
A-4
π
4π
, π,
3
3
Find an exact value.
25) sin 105°
- 6+
A)
4
25)
2
B)
- 64
2
64
C)
2
6+
4
D)
2
Write the expression as the sine, cosine, or tangent of an angle.
π
π
π
π
26) sin cos + cos
sin
3
7
3
7
A) sin
-4π
21
B) cos
10π
21
26)
C) cos
-4π
21
D) sin
10π
21
Find the exact value by using a half-angle identity.
π
27) cos 8
A)
1
2
2-
2
B)
1
2
2+
27)
2
C)
1
2
1-
2
D)
1
2
1+
2
Find all solutions in the interval [0, 2π).
x
1 + cos x
28) tan
=
2
1 - cos x
A) 0
29) sin
B)
28)
π 5π
,
4 4
C)
π
2
D)
π 3π
,
2 2
x
= 2 cos 2 x - 1
2
A)
π
9π
, π,
5
5
29)
B)
π 9π
,
5 5
C) 0, π
D)
π
5π
, π,
3
3
State whether the given measurements determine zero, one, or two triangles.
30) A = 87°, a = 26, b = 66
A) One
30)
B) Two
C) Zero
31) A = 63°, a = 21, b = 23
A) Zero
31)
B) Two
C) One
Find the component form and magnitude of the indicated vector.
32) Given that P = (-1, 2) and Q = (-3, 3), find the component form and magnitude of the vector PQ .
A) -4, 1 ,
17
B) -2, 1 ,
C) -2, 1 , 5
5
D) 2, -1 ,
32)
5
Find the unit vector in the direction of the given vector. Write your answer in the indicated form.
33) Let u = -2, -3 . Find the unit vector in the direction of u, and write your answer as a linear
combination of the standard unit vectors i and j.
-2
-3
-2
-3
-2
-3
A)
i+
j
B)
i+
j
C) i + j
D)
i+
j
13
13
5
5
13
13
A-5
33)
Find a· b.
34) a = 10i + 6j, b = -3i + 4j
34)
B) -30, 24
A) 54
D) -6
C) 7, 10
Find the angle between the given vectors to the nearest tenth of a degree.
π
π
4π
4π
35) u = 6 cos
i + 6 sin
j, v = cos
i + sin
j
6
6
3
3
A) 150°
B) 120°
35)
C) 240°
D) 210°
Write the complex number in the form a + bi.
6(cos 315° + i sin 315°)
3
3
A)
i
2
2
36)
36)
B)
6-
6i
C)
6
6
i
2
2
D)
3-
3i
Find the product or quotient. Write the answer in standard form.
37) (8 - 7i)(6 + 3i)
37)
A) 27 - 66i
C) -21i2 - 18i + 48
B) 69 + 18i
D) 69 - 18i
Find the product or quotient, as indicated. Leave your answer in trigonometric form.
38) Find the product of z 1 and z 2.
z 1 = 7[cos (50°) + i sin (50°)], z 2 =
38)
5(cos -175° + i sin -175°)
A) (7 + 5) [cos (-125°) + i sin (-125°)]
B) 7 5 [cos (-125°) + i sin (-125°)]
C) 7 5 [cos (-8750°) + i sin (-8750°)]
D) 7 5 [cos (225°) + i sin (225°)]
Use De Moivre's Theorem to find the indicated power of the complex number. Write your answer in standard form a + bi.
39) (-
3 + i)6
39)
A) 64 - 64 3i
B) -64 3 + 64i
D) -64
C) 64i
Find the indicated roots. Write the answer in a + bi form.
40) Cube roots of -8i
40)
A) -2i,
3 - i,
3-i
B) 2i, -
3 + i, -
C) 2i, -
3 - i,
3-i
D) -2i,
3 + i,
A-6
3+i
3+i
Find the indicated roots. Write the answer in trigonometric form.
41) Fifth roots of 243(cos 300° + i sin 300°)
41)
A) 3(cos 300° + i sin 300°), 3(cos 372° + i sin 372°), 3(cos 444° + i sin 444°), 3(cos 516° + i sin 516°),
3(cos 588° + i sin 588°)
B) 3(cos 60° + i sin 60°), 3(cos 150° + i sin 150°), 3(cos 240° + i sin 240°), 3(cos 330° + i sin 330°),
3(cos 375° + i sin 375°)
C) 3(cos 60° + i sin 60°), 3(cos 132° + i sin 132°), 3(cos 204° + i sin 204°), 3(cos 276° + i sin 276°),
3(cos 348° + i sin 348°)
D) 3(cos 300° + i sin 300°), 3(cos 390° + i sin 390°), 3(cos 480° + i sin 480°), 3(cos 570° + i sin 570°),
3(cos 615° + i sin 615°)
Solve the system by substitution.
42) x + 3y = 27
2x + 3y = 36
A) (10, 5)
42)
B) (10, 9)
C) No solution
D) (9, 6)
Solve the system by elimination.
43) -6x + 7y = -54
-3x + 3y = -27
A) (9, 1)
43)
B) (9, 0)
C) No solution
D) (8, 1)
Find the matrix product, if possible.
-2 0
44) 0 -3
5 1
-1 1
A)
44)
B)
3 -3
-11 1
C)
-10 -2
5 4
D)
-3 3
-9 -11
06
-5 1
Find the indicated matrix.
45) Let A = 1 3 and B = 0 4 . Find 2A + B.
25
-1 6
A)
45)
B)
2 10
1 11
C)
2 10
3 16
D)
2 14
2 22
Determine whether the matrices are inverses.
1 1
2 4
46) -2 4 , 1 1
4 -4
2 4
2 7
3 11
46)
A) No
B) Yes
A-7
State how many complex and real zeros the function has.
47) f x = x4 - 63x2 - 64
47)
A) 4 complex zeros; none real
B) 4 complex zeros; 2 real
C) 4 complex zeros; all 4 real
D) 4 complex zeros; 1 real
Find the determinant of the given matrix.
48)
48)
5
9
1
2
2
3
0
9
6
6
0
1
5
6
8
8
A) 6
C) -1599
B) 48
D) 43
Use Gaussian elimination to solve the system of equations.
49) x + y + z = 0
x - y + 4z = 1
3x + y + z = 6
A) (-1, -2, 3)
49)
C) (3, -2, -1)
B) No solution
D) (-1, 3, -2)
Identify which of the twelve basic functions listed below fit the description given.
1
1
y = x, y = x 2, y = x 3 , y = x , y = , y = e x , y = x, y = ln x, y = sin x, y = cos x, y = int (x), y =
x
1 + e -x
50) The three functions that are even
1
A) y = x, y = , y = x3
x
50)
B) y = x, y = x2 , y = x3
D) y = x2 , y = cos x, y = x
C) y = cos x, y = sin x, y = x
Find the partial fraction decomposition.
51)
52)
x+2
A
B
=
+
2
x
1
x
+
-1
x -1
51)
A) A =
1
3
,B=
2
2
B) A = -
1
3
,B=2
2
C) A =
1
3
,B=2
2
D) A = -
1
3
,B=
2
2
5
A Bx + C
=
+
2
x(x + 3) x
x2 + 3
52)
A) A =
5
5
,B=- ,C = 0
6
6
B) A = -
5
5
,B= ,C = 0
6
6
C) A =
5
5
,B=- ,C = 0
3
3
D) A = -
5
5
,B= ,C = 0
3
3
A-8
Find the indicated matrix product or state that the product is undefined.
0 1 0 0
6 -6 -1 5
0
0
0
1
53) A =
, B = 4 8 -2 6
1 0 0 0
1 -4 5 0
0 0 1 0
6 3 -3 -1
53)
AB
A)
B)
-6
0
0
0
0
0
1
0
0
0
0
-3
-1
-2
5
-3
0
6
0
0
C)
6 5 -6
4 6 8
1 0 -4
6 -1 3
D)
6 -6 -1 5
4 8 -2 6
1 -4 5
0
6 3 -3 -1
4 8 -2 6
6 3 -3 -1
6 -6 -1 5
1 -4 5 0
Solve the problem.
54) The position of a weight attached to a spring is s(t) = -5 cos 3t. What are the frequency and period
of the system?
3
2π
A) Frequency =
cycles per sec, period =
sec
2π
3
B) Frequency =
3
π
cycles per sec, period = sec
π
3
C) Frequency = 3 cycles per sec, period =
D) Frequency =
54)
1
sec
3
π
3
cycles per sec, period = sec
3
π
Graph the function on your calculator to determine the domain and range from the graph.
1
55) g(x) =
-3
1 + e-x
A) Domain: (-∞, ∞); range: (-3, -2)
B) Domain: (0, ∞); range: [-3, -2]
C) Domain: (-∞, ∞); range: (-∞, -2]
D) Domain: (-∞, ∞); range: (-∞, ∞)
55)
Using the given zero, find all other zeros of f(x).
56) 2 + 6i is a zero of f x = x4 - 16x3 + 124x2 - 624x + 1440.
A) 2 - 6i, 6
B) 2 - 6i, 6, and -6
C) 2 - 6i, -6
D) -2 + 6i, 6, and -6
56)
Find the domain of the given function.
57) f(x) =
x4 - 81x2
57)
A) (-∞, -9] ∪ [0] ∪ [9, ∞)
B) (-∞, -9] ∪ [9, ∞)
C) (-∞, -9) ∪ (9, ∞)
D) (-∞, ∞)
A-9
Solve the problem.
58) A turntable rotates at 65 revolutions per minute. What is its angular speed in radians per second?
13
12
A)
π radians/second
B)
π radians/second
6
13
C)
13
π radians/second
12
D)
6
π radians/second
13
59) The sprocket assembly on a bicycle consists of a chain and two sprockets, one on the pedal and the
other on the rear wheel. If the sprocket on the pedal is 9 inches in diameter, the sprocket on the
rear wheel is 2 inches in diameter, and the rear wheel is 26 inches in diameter, how fast is the
bicycle traveling in miles per hour when the cyclist is pedaling at the rate of 0.9 revolutions per
second? Round your answer to the nearest tenth mph.
A) 17.8 mph
B) 20.8 mph
58)
C) 18.8 mph
59)
D) 22.8 mph
Convert the angle to decimal degrees and round to the nearest hundredth of a degree.
60) 122°3′26′′
A) 122.07
60)
B) 122.12
C) 122.02
D) 122.06
Convert the angle to degrees, minutes, and seconds.
61) 194.04°
A) 194°2′4′′
61)
B) 194°0′4′′
C) 194°2′24′′
D) 194°3′24′′
Solve the problem.
62) The minimum length L of a highway sag curve can be computed by
( θ - θ )S2
2
1
L=
,
200(h + S tan α)
62)
is the downhill grade in degrees ( θ < 0°), θ is the uphill grade in degrees (θ > 0°),
1
1
2
2
S is the safe stopping distance for a given speed limit, h is the height of the headlights, and α is the
alignment of the headlights in degrees. Compute L for a 55-mph speed limit, where h = 1.9 ft,
α = 1.0°, θ = -5°, θ = 4°, and S = 336 ft. Round your answer to the nearest foot.
1
2
where θ
A) 691 ft
B) 638 ft
C) 672 ft
D) 654 ft
63) A ship travels 58 km on a bearing of 25°, and then travels on a bearing of 115° for 111 km. Find the
distance from the starting point to the end of the trip, to the nearest kilometer.
A) 169 km
B) 53 km
C) 25 km
D) 125 km
64) A fire is sighted due west of lookout A. The bearing of the fire from lookout B, 8.9 miles due south
of A, is N 53.95°W. How far is the fire from B (to the nearest tenth of a mile)?
A) 18.1 mi
B) 17.1 mi
C) 15.1 mi
A-10
63)
D) 16.1 mi
64)
65) The maximum monthly average temperature in Smithville is 87° in July, and the minimum is 37° in
January. Determine f x = a cos b x - c + d so that f x models the monthly average temperature
in Smithville, where x is the month and x = 1 corresponds to January.
π
π
A) f x = 25 cos
x - 7 + 62
B) f x = 25 cos
x - 4 + 62
6
6
C) f x = 25 cos
π
x - 7 + 62
12
D) f x = 62 cos
65)
π
x - 7 + 25
6
Find all solutions to the equation.
66) tan x = 3.7
(Use a calculator. Express your answer in radians, as a decimal rounded to the nearest thousandth.)
A)
1.307 + nπ | n = 0, ±1, ±2, ....
B)
4.449 + 2nπ, 4.976 + 2nπ | n = 0, ±1, ±2, ....
C)
1.835 + nπ | n = 0, ±1, ±2, ....
D)
1.307 + 2nπ, 1.835 + 2nπ | n = 0, ±1, ±2, ....
66)
Solve.
67) Points A and B are on opposite sides of a lake. A point C is 100.7 meters from A. The measure of
angle BAC is 74°50', and the measure of angle ACB is determined to be 30°20'. Find the distance
between points A and B (to the nearest meter).
A) 25 m
B) 51 m
C) 53 m
67)
D) 27 m
Solve the problem.
68) A tower is supported by a guy wire 505 ft long. If the wire makes an angle of 39° with respect to the
ground and the distance from the point where the wire is attached to the ground and the tower is
229 ft, how tall is the tower? Round your answer to the nearest tenth.
A) 698.0 ft
B) 357.4 ft
C) 630.3 ft
68)
D) 466.5 ft
Provide an appropriate response.
69) Under which of the following conditions do we know that two triangles are congruent? (More than
one may apply.)
(i) Three sides of one triangle are equal to the corresponding sides of the second triangle.
(ii) Three angles of one triangle are equal to the corresponding angles of the second triangle.
(iii) Two angles and the included side of one triangle are equal to the corresponding parts of the
second triangle.
A) (i), (iii)
B) (i), (ii), (iii)
C) (i) only
A-11
D) (iii) only
69)
Solve the problem.
70) Determine the resultant effect of three people pulling on a car as shown in the drawing.
70)
a = 41.0 lb, b = 128.0 lb, c = 120.0 lb, d = 22°, e = 16°
Round results to an appropriate number of significant digits.
A) 282 lb -4°
B) 286 lb 10°
C) 70 lb 44°
D) 54 lb -19°
71) Find the work done by a force F of 35 pounds acting in the direction 2, 3 in moving an object 8 feet
from (0, 0) to (8, 0).
A) ≈ 155.32 foot-pounds
B) ≈ 184.44 foot-pounds
C) ≈ 560 foot-pounds
D) ≈ 232.97 foot-pounds
71)
Solve the system graphically.
72) y = e2x+3
72)
2x + y = 3
A) ≈(0.75, -4.5)
B) ≈(-0.75, 4.5)
C) ≈(-0.75, -4.5)
D) ≈(0.75, 4.5)
Write the augmented matrix for the system.
73) -2x + 8y + 8z = 36
4x - 2y + 4z = -10
-2x + 2y + 7z = 17
A)
-2 8 8 36
4 -2 4 -10
-2 2 7 17
73)
B)
-2 4 -2 36
8 -2 2 -10
8 4 7 17
C)
A-12
-2 8 8
4 -2 4
-2 2 7
36 8 -2 -2
D) -10 4 -2 4
17 7 2 -2
Find a matrix A and a column matrix B that describe the following tables involving credits and tuition costs. Find the
matrix product AB, and interpret the significance of the entries of this product.
74)
74)
Credits College A College B
Student 1
4
11
Student 2
6
6
Cost
Tuition
College A $86
College B $65
A)
AB = 1059
906
Tuition for Student 2 is $1059 and tuition for Student 1 is $906.
B)
AB = 1053
893
Tuition for Student 1 is $1053 and tuition for Student 2 is $893.
C)
AB = 1053
893
Tuition for Student 2 is $1053 and tuition for Student 1 is $893.
D)
AB = 1059
906
Tuition for Student 1 is $1059 and tuition for Student 2 is $906.
Write the system of equations associated with the augmented matrix. Do not solve.
6 6 2 -2
75) 8 0 3 4
890 2
A) 6x + 6y + 2z = -2
8x
+ 3z = 4
8x
+ 9z = 2
B) 6x + 6y + 2z = -2
8x
+ 3z = 4
8x + 9y
= 2
75)
C) 6x - 6y + 2z = -2
8x
+ 3z = -4
8x + 9y
= -2
Solve the system of equations.
76)
x + 1.5y
4.5x +
z
y - 2.75z
= 9.5
= 18.5
= 14
A) No solution
76)
B) (5, 3, -4)
C) (6, 3, -8.5)
D) (5, 3, -3)
Find the partial fraction decomposition.
2
A
B
C
77)
=
+
+
x2 (x + 3) x
x2 x + 3
A) A = C) A =
77)
2
2
2
,B= ,C =
9
3
9
2
2
2
,B= ,C =9
3
9
B) A = D) A =
A-13
2
2
2
,B=- ,C =
9
3
9
2
2
2
,B=- ,C =9
3
9
Find the indicated matrix product or state that the product is undefined.
0 1 0 0
5 -6 -8 -8
0
0
0
1
-6
-4 -3 2
78) A =
,B=
1 0 0 0
1 -4 5 0
0 0 1 0
6 3 -3 -1
78)
AB
A)
B)
-6 -4 -3
6 3 -3
5 -6 -8
1 -4 5
2
-1
-8
0
C)
-6 0
0 0
0 0
0 -3
0
0
1
0
0
2
0
0
D)
5 -6 -8 -8
-6 -4 -3 2
1 -4 5
0
6 3 -3 -1
-8 5 -8 -6
-3 -6 2 -4
5 1 0 -4
-3 6 -1 3
Find the inverse of A if it has one, or state that the inverse does not exist.
-2 0 2
79) A = 2 4 6
-3 -1 1
A)
79)
B)
-
1
2
0 1
0
1
0
4
1
0 1
C) Inverse does not exist
-
1
2
0
1
2
1
2
1
4
1
6
-
1
-1 1
3
-
1
2
0 0
0
1
0
4
0
0 1
D)
A-14
Answer Key
Testname: PRACTICESEMPROB
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
12)
13)
14)
15)
16)
17)
18)
19)
20)
21)
22)
23)
24)
25)
26)
27)
28)
29)
30)
31)
32)
33)
34)
35)
36)
37)
38)
39)
40)
41)
42)
43)
44)
45)
46)
47)
48)
49)
50)
B
D
B
A
C
B
B
B
D
B
D
B
A
B
B
A
A
B
D
C
A
D
D
A
D
D
B
C
A
C
B
B
D
D
A
D
D
B
D
C
C
D
B
A
B
A
B
C
C
D
A-15
Answer Key
Testname: PRACTICESEMPROB
51)
52)
53)
54)
55)
56)
57)
58)
59)
60)
61)
62)
63)
64)
65)
66)
67)
68)
69)
70)
71)
72)
73)
74)
75)
76)
77)
78)
79)
D
C
D
A
A
A
A
A
C
D
C
D
D
C
A
A
C
B
A
A
A
B
A
D
B
B
A
A
C
A-16