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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 …show more content…

1.9 b. 2.05 c. 2.1 d. 2.09

25. The diagram shown below shows two intersecting curves: y = x, and.

Which of the following expressions gives the distance from the y-axis to the centroid of the area bounded by the two curves shown in the diagram?
a.
b.
c.
d.

26. Find the value of the limit:
a. 0 b. ½ c. 1 d. 2 27. The following equation describes a 2nd order system: . The system may be described as:
a. non-linear b. over-damped c. critically damped d. under-damped

28. Find the solution as , for
a. y = 0 b. c. d. y = 5

29. It takes a pigeon X, 2 hours to fly straight home averaging 20 km/h. It takes pigeon Y, 2 hours and 20 minutes to fly straight home averaging 30 km/h. If both pigeons start from the same spot but fly at an angle to each other, about how far apart do they live?
a. 96 km b. 87 km c. 80 km d. 73 km

30. A matrix B has Eigen-values (characteristic values)  found from which of the following equations?
a.
b.
c.
d.

31. The divergence of the vector function at the point (0, 1, 1) is
a. -4 b. -1 c. 0 d. 4

32. A right circular cone cut parallel with the axis of symmetry could reveal a
a. circle b. hyperbola c. ellipse

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