FE Practice Test 2
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Question 1 of 20
1. Question
What is the approximate total surface area of a 14meterhigh right cylinder with a base diameter of 10 meters?
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Question 2 of 20
2. Question
If the area of the sector is 50π cm^2 and the central angle is 110°, then what is the approximate radius of the circle?
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Question 3 of 20
3. Question
Consider the illustration below:
What are the lengths x and y, respectively?
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Question 4 of 20
4. Question
Which of the following expressions is equivalent to cos2θ?
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Question 5 of 20
5. Question
If the equation of the circle is x^24x+y^26y12=0 , what is the center of the circle?
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Question 6 of 20
6. Question
What is the nearest numerical value for the following expression, using logarithmic identities?
\log_5{\frac{5}{3}}+\log_5{10}\log_5{\frac{2}{3}}
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Question 7 of 20
7. Question
Consider the following system of linear equations:
6x + 5y + 8z = 10
4x + 7y + 6z = 8
2x – 3y – 5z = 12CorrectIncorrect 
Question 8 of 20
8. Question
Consider the matrix A and matrix B as follows:
If the determinant of the matrix A is 724, then what is the determinant of matrix B?
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Question 9 of 20
9. Question
Consider the following vectors:
\mathbf{A}=2\mathbf{i}\mathbf{j}+3\mathbf{k}
\mathbf{B}=2\mathbf{i}+\mathbf{k}Which of the following statements is true?
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Question 10 of 20
10. Question
Find the resultant of the vectors A = 5i + 7j – 3k and B = 10i + 14j – 6k.
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Question 11 of 20
11. Question
What is the derivative, \frac{dy}{dx} , of the expression xye^x\cos{\left(5y\right)=0} ?
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Question 12 of 20
12. Question
What are the minimum and maximum values, respectively, of the equation f\left(x\right)=x^39x^2+24x+5 in the interval [1, 6]?
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Question 13 of 20
13. Question
Which of the following illustrations represents the vector field, \mathbf{F}\left(x,y\right)=y\mathbf{i}x\mathbf{j} ?
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Question 14 of 20
14. Question
Find the following indefinite integral.
\int{\frac{x^{3/2}x+10}{\sqrt x}dx}
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Question 15 of 20
15. Question
Find the following limit.
\lim_{x\rightarrow 9} \left(\frac{x^281}{x9}\right)
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Question 16 of 20
16. Question
What are the values of k so that y=e^{kx} is a solution of the differential equation?
\frac{d^2y}{dx^2}\frac{dy}{dx}12y=0
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Question 17 of 20
17. Question
What is the solution to the differential equation?
y^\prime=y^\frac{1}{2}, y\left(0\right)=0
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Question 18 of 20
18. Question
Consider a study which gives the results for a total sample size of 14 as follows:
4, 6, 7, 10, 10, 13, 13, 15
If the mean of the sample is 9.75, then which value is closest to the standard deviation?
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Question 19 of 20
19. Question
A box contained a certain number of pens and had 20% defective pens. Twelve pens are chosen randomly from this box. What is the probability that exactly eight of the chosen items are defective?
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Question 20 of 20
20. Question
If A and B are two events such that P\left(A\right)=\frac{1}{3} , P\left(B\right)=\frac{1}{4} , and P\left(A\cap B\right)=\frac{1}{7} , then which of the following statements is true?
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