Mathematics FE/EIT Exam Style
00:30:00
question 1

What is the general solution to the following differential equation?

y'' - 8y' + 16y = 0

A
B
C
D

question 2

Newton's method is being used to find the roots of the equation below. What is the third approximation of the root if 9.33 is chosen as the first approximation?

A 1
B 2
C 3
D 4

question 3

A marksman can hit a bull's-eye from 100m with three out every four shots. What is the probability that he will hit a bull's-eye with a least one of his next three shots?

A 31/32
B 15/16
C 63/64
D 3/4

question 4

If a, b and c are real numbers, which one of the following is incorrect?

A a - b = a + (-b)
B a/b = a(1/b)
C a + (-a) = 0
D (a < b) if (b - a) is negative

question 5

Evaluate the following indefinite integral.

A
B
C
D

question 6

Which one of the following statements is incorrect?

A ln(x) = e log(x)
B ln(e^2x) = 2x
C ln(5x) = ln(5) + ln(x)
D log(5^2x)= 2x log(5)

question 7

For some angle Ø, csc Ø = -8/5. What is cos 2 Ø?

A 3/8
B 5/8
C 7/32
D 1/4

question 8

For three matrices A, B, C, which of the following statements is not necessarily true?

A (B+C)A = AB + AC
B A + (B+C) = C + (A+B)
C A(B+C) = AB + AC
D A + (B+C) = (A+B) + C

question 9

Evaluate the following limit.

A 0
B 1/4
C -3/4
D

question 10

What is the area of the region bounded by the curve y = sinx and the x-axis on the interval between.

A 1
B 2
C 3
D 4

question 11

The radius of a snowball rolling down a hill is increasing at a rate of 20 cm/min. How fast is its volume increasing when its diameter is 1m?

A
B
C
D

question 12

The final scores of students in a graduate course are distributed normally with a mean of 72 and a standard devation of 10. What is the probability that a student's score will be between 65 and 78?

A 0.5161
B 0.6455
C 0.4196
D 0.4837

question 13

Which one of the following is incorrect?

A 0.11111111111.... is an irrational number
B 53 is a prime number
C is an irrational number
D 7/8 is a real number

question 14

Which one of the following is correct?

A 4! is equivalent to (0)(1)(2)(3)(4)
B is a real number
C (4 + 2i) is a complex number
D p is a real rational number

question 15

Find the Laplace transform of the equation with the given boundary conditions:

A
B
C
D

question 16

The second and sixth terms of a geometric progression are 3/10 and 243/160, respectively. What is the first term of this sequence?

A 3/5
B 1/10
C 1/5
D 3/2

question 17

If a, b and c are real numbers, which one of the following is incorrect?

A a + ( b + c) equals (a + b) + c
B (a)(b) equals (b)(a)
C a( b + c) does not equal (a)(b) + (a)(c)
D (a + b) equals (b + a)

question 18

What is the rectangular form of the following polar equation?

A
B
C
D

question 19

What is the general form of the equation for a lin whose x-intercept is 4 and y-intercept is -6?

A 3x - 2y - 12 = 0
B 3x + 2y +12 = 0
C 2x + 36 + 18 = 0
D 2x - 3y -18 = 0

question 20

For the tree vectors A, B, and C, what is the product A•(BXC)?
A = 6i + 8j + 10k
B = i + 2j + 3k
C = 3i + 4j + 5k

A 80
B 216
C 64
D 0