MATH23-1 DE Set A 2014-2015 2Q

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HomeMy coursesDiagnostic ExamMathematicsMATH23-115 November - 21 November MATH23-1 DE Set A 2014-2015 2Q

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Started on Sunday, 16 November 2014, 4:03 PM

State Finished

Completed on Sunday, 16 November 2014, 6:00 PM

Time taken 1 hour 57 mins

Grade 29.00out of a maximum of 40.00 (73%)

How many times is the volume of a sphere increased if the radius is tripled?

Select one:

27

3

15

9

Your answer is correct.

A plane leaves airport Aand travels 560 miles to airport Bat a bearing of N32E. The planeleaves airport Band travels to airport C320 miles away at a bearing of S72E. Find thedistance from airport Ato airport C.

Select one:

310 miles

610 miles

555.6 miles710 miles


If a regular polygon has 27 diagonals, then it is a _____.

Select one:

hexagon

heptagon

pentagon

nonagon


What is the equation of the line containing the points (4, 8) and (2, 7)?

Select one:

2x+ 5y+ 4 = 0

2x 5y+ 4 = 0

5x+ 2y+ 4 = 0

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Question 7

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Question 8

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Question 9

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5x 2y+ 4 = 0


An office has two envelope stuffing machines. Working together they can stuff a batch ofenvelopes in 2 hours. Working separately it will take the second machine 1 hour longer thanthe first machine to stuff a batch of envelopes. How long would it take for the second machineto stuff a batch of envelopes by itself?

Select one:

1.56 hours

3.56 hours

4.56 hours

2.56 hours


A right prism with a square base has a lateral edge of 8 cm. Find the area of the base if the

lateral area is 96 cm2.

Select one:

10 cm2

12 cm2

24 cm2

18 cm2

Your answer is incorrect.

Find the area bounded by the curve y= 4 x2and the x-axis.

Select one:

16/3

128/3

64/3

32/3


The derivative of u= cos4t sin4t is with respect to tis _____.

Select one:

2 sin 2t

4(cos3t sin3t)

2 cos 2t

4(cos2t sin2t)cos tsin t


Find the exact solution or solutions of the equation log(5x 1) = 2 + log(x 2).

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Question 11

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Question 12

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Question 13

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Select one:

199/95

59/199

99/95

95/199


A polyhedron of which the base is a polygon and the other faces are triangles with a commonvertex is called a _____.

Select one:

prismatoid

prism

pyramid

cone


What is the lateral area (in square inches) of a cylinder of height 12 inches and base radius 4inches?

Select one:

76

96

66

86


The fifth and seventh terms of an arithmetic sequence is 19 and 29. Find the 17thterm.

Select one:

112

92

77

79


The angle from the line through (13/2 , 0) and (2, 7) to the vertical line 5 units from the y-axis i_____.

Select one:

arctan(9/14)

arctan(3/8)

arctan(14/9)

arctan(8/3)


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The solution set to the absolute value inequality 4|x+ 2| 3 < 13 is _____.

Select one:

(6, 2)

[6, 0)

(, 6] U [2, +)

(, 6) U (2, +)


Determine the length of the curve y= ln cos xfrom x= 0 to x= /2.

Select one:

ln(1 + 3)

ln(2 + 3)


Solve for C.

Select one:

1

3

8

0


The parabola is a conic section whose eccentricity is _____.

Select one:

a. 1

b. > 1

c. < 1

d. 0


From a point Aon a l ine from the base of the Washington Monument, the angle of elevation tothe top of the monument is 42.0. From a point 100 feet away from Aand on the same line, thangle to the top is 37.77. Find the height of the Washington Monument.
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Question 21

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Select one:

445.2 ft

653.5 ft

350.3 ft

555.6 ft


Evaluate .

Select one:

a.

b.

c.

d.


As part of a drive to modernize the economy, the government of an eastern European countryis pushing for starting 100 new projects in computer development and telecommunications.Two U.S. giants, IBM and AT&T, have signed contracts for these projects: 40 projects for IBMand 60 for AT&T. Of the IBM projects, 30 are in the computer area and 10 are intelecommunications; of the AT&T projects, 40 are in telecommunications and 20 are incomputer areas. How many projects are there in (IBM U T)?

Select one:

50

80

60

70


If f(x) = 4x2 3x 1, find the difference quotient.

Select one:

8x+ 3h 4

8x+ 4h 3

4x 8h+ 3

3x+ 4h 8
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Ifx2+ y2= ln xy, then y is _____.

Select one:


Suppose that f(x) = 0.5 cos x. Find the value of bsuch that

.

Select one:

1.351.57

1.12

1.29


What is the Cartesian form of r= 5?

Select one:

x(x+ 5) = 0

x2+ y2= 25

x2 y2= 25

x(x 5) = 0

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Question 28

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Question 29

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Evaluate .

Select one:

/3

/2

/4


Determine the volume of the solid obtained by rotating the region bounded by y= x2 4x+ 5,= 1, and the x-axis about the x-axis.

Select one:

1072/15

206/155178/5

78/5


A pilot flew a jet from Montreal to Los Angeles, a distance of 2,500 mi. On the return trip, theaverage speed was 20% faster than the outbound speed. The round-trip took 9 h 10 min. Whawas the speed from Montreal to Los Angeles in miles per hour?

Select one:

375 mph250 mph

500 mph

500 mph


Jeff, Tom, and Chelsea order a large pizza. They decide to split the cost according to howmuch they will eat. Tom pays $5.16, Chelsea eats 1/8 of the pizza, and Jeff eats 1/2 of thepizza. How much did the pizza cost?

Select one:$10.32

$13.76

$8.25

$20.63


Find the exact solution, in radians on the interval 0 x< 2of the t rigonometric equation

sin xcos 2x cos xsin 2x= (3)/2.
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Question 32

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Question 33

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Select one:

4/3, 5/3

2/3, /3

/6, 5/6

3/4, 5/4


Find the maximum area of a rectangle with diagonal equal to 16 ft.

Select one:

148 ft2

176 ft2

198 ft2

128 ft2


A circular piece of cardboard with a diameter of 25 cm will be made into a conical hat 10 cmhigh by cutting a sector off and joining the edges to form a cone. What is the volume of thecone?

Select one:

785.40 cm3

589.05 cm3

1767.15 cm3

78.54 cm3


Each rear tire on a car has a radius of 15 inches. The tires are rotating at 450 revolutions perminute. Find the speed of the automobile to nearest mile per hour (mph).

Select one:

21 mph

32 mph

25 mph

40 mph


Find the term containing x4in the expansion of .

Select one:

24x4

5670x4

20412x4

6561x4
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Question 36

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Evaluate (sec2x tan2x)dx.

Select one:

x+ C

tan x ln cos2x+ C


The equation of a circle with center (4, 1) and passing through (6, 1) is _____.

Select one:

x2+ y2+ 8x+ 2y 87 = 0

x2+ y2 8x 2y+ 87 = 0

x2+ y2+ 8x 2y 87 = 0

x2+ y2+ 8x 2y 87 = 0


If f(x) = 1/x2and g(x) = 1/(x+ 3), then (f g)(2) is _____.

Select one:

2025

23

28


Which of the following is the graph of the solution of given sys tem of inequalities?

Select one:
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Question 38

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Evaluate .

Select one:

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