Mathematics, Surveying and Transportation Engineering

 

Algebra, Trigonometry, Statistics, Geometry, Calculus, Differential Equations, Engineering Mechanics, Engineering Economy, Surveying, Transportation Engineering
 

Problem
Calculate the acute angle between two intersecting surfaces whose equations are as follows:
$$2x - 4y - z = -5$$

$$3x + 4y + 5z = -6$$

A.   62.4° C.   42.6°
B.   64.2° D.   46.2°

 

Problem
If $\arcsin (3x - 4y) = 1.571$ and $\arccos (x - y) = 1.047$, what is the value of $x$?

A.   0.5 C.   1.5
B.   1.0 D.   2.0

 

Answer Key

Problem
The digits of a three-digit number are in arithmetic progression. If you divide the number by the sum of its digits, the quotient is 26. If the digits are reversed, the resulting number is 198 more than the original number. Find the sum of all the digits.

A.   9 C.   15
B.   12 D.   18

 

Problem
There are 7 arithmetic means between 3 and 35. What is the sum of all the terms?

A.   133 C.   665
B.   608 D.   171

 

Problem
A boat going upstream takes 1.5 times longer than going the same distance downstream. If the water current in the river is 8 kph, calculate the speed of the boat in still water.

A.   30 kph C.   40 kph
B.   50 kph D.   20 kph

 

Problem
What is the equation of the normal to the curve $x^2 + y^2 = 25$ at (4, 3)?

A.   $4x + 3y = 0$ C.   $3x + 4y = 0$
B.   $3x - 4y = 0$ D.   $4x - 3y = 0$

 

Problem
What is the radius of the circle $x^2 + y^2 - 6x = 0$?

A.   6 C.   4
B.   9 D.   3

 

Problem
When the polynomial $x^4 + bx^3 + 5x^2 + dx + 6$ is divided by $x - 2$ the remainder is 16. When it is divided by $x + 1$ the remainder is 10. Find the value of constant $d$.

A.   7 C.   -5
B.   -7 D.   5

 

Problem
Gas is escaping from a spherical balloon at a constant rate of 2 ft3/min. How fast, in ft2/min, is the outer surface area of the balloon shrinking when the radius is 12 ft?

A.   1/2 C.   1/3
B.   1/5 D.   1/4

 

Problem
Determine the percentage uncertainty in the area of a square that is 6.08 ± 0.01 m on a side.

A.   0.27% C.   0.26%
B.   0.25% D.   0.29%

 

Pages

 
 
Subscribe to RSS - Mathematics, Surveying and Transportation Engineering