FEMath
Fundamentals of Engineering Exam Sample Math Questions
Directions: Select the best answer.
1. The partial derivative of is:
a.
b.
c.
d.
2. If the functional form of a curve is known, differentiation can be used to determine all of the following EXCEPT the
a. concavity of the curve.
b. location of the inflection points on the curve.
c. number of inflection points on the curve.
d. area under the curve between certain bounds.
3. Which of the following choices is the general solution to this differential equation: ?
a. b. c. d.
4. If D is the differential operator, then the general solution to
a.
b.
c.
d.
5. A particle traveled in a straight line in such a way that its distance S from a given point on that line after time t was . The rate of change of acceleration at time t=2 is:
a. 72 b. 144 c. 192 d. 208
6. Which of the following is a unit vector perpendicular to the plane determined by the vectors A=2i + 4j and B=i + j - k?
a. -2i + j - k
b. (i + 2j)
c. (-2i + j - k)
d. (-2i - j - k)
7. If , then using implicit differentiation would be
a. b. c. d.
(Questions 8-10) Under certain conditions, the motion of an oscillating spring and mass is described by the differential equation where x is displacement in meters and t is time in seconds. At t=0, the displacement is .08 m and the velocity is 0 m per second; that is and
8. The solution that fits the initial conditions is:
a.
b.
c.
d.
9. The maximum amplitude of the motions is:
a. 0.02 m b. 0.08 m c. 0.16 m d. 0.32 m
10. The period of motion is
a. sec b. sec c. sec d. sec
11. The equation of the line normal to the curve defined by the function at the point (1,6) is:
a.
b.
c.
d.
12. The Laplace transform of the step function of magnitude a is:
a. b. c. d.
Directions: Select the best answer.
1. The partial derivative of is:
a.
b.
c.
d.
2. If the functional form of a curve is known, differentiation can be used to determine all of the following EXCEPT the
a. concavity of the curve.
b. location of the inflection points on the curve.
c. number of inflection points on the curve.
d. area under the curve between certain bounds.
3. Which of the following choices is the general solution to this differential equation: ?
a. b. c. d.
4. If D is the differential operator, then the general solution to
a.
b.
c.
d.
5. A particle traveled in a straight line in such a way that its distance S from a given point on that line after time t was . The rate of change of acceleration at time t=2 is:
a. 72 b. 144 c. 192 d. 208
6. Which of the following is a unit vector perpendicular to the plane determined by the vectors A=2i + 4j and B=i + j - k?
a. -2i + j - k
b. (i + 2j)
c. (-2i + j - k)
d. (-2i - j - k)
7. If , then using implicit differentiation would be
a. b. c. d.
(Questions 8-10) Under certain conditions, the motion of an oscillating spring and mass is described by the differential equation where x is displacement in meters and t is time in seconds. At t=0, the displacement is .08 m and the velocity is 0 m per second; that is and
8. The solution that fits the initial conditions is:
a.
b.
c.
d.
9. The maximum amplitude of the motions is:
a. 0.02 m b. 0.08 m c. 0.16 m d. 0.32 m
10. The period of motion is
a. sec b. sec c. sec d. sec
11. The equation of the line normal to the curve defined by the function at the point (1,6) is:
a.
b.
c.
d.
12. The Laplace transform of the step function of magnitude a is:
a. b. c. d.