FE Practice Test 1
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Question 1 of 20
1. Question
Consider the movement of the particle in the xy plane. The locations are x=12\sin{t} and y=15\cos{t} , where x and ycoordinates are the locations of the particles after t seconds. Which of the following equations represents the path of the particle?
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Question 2 of 20
2. Question
The equation defined as 16x^232x9y^290y=353 is:
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Question 3 of 20
3. Question
Consider the shown righttriangle ABC:
What is the approximate value of cot A?
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Question 4 of 20
4. Question
A line has a slope of 3 and passes through the point (2, 4). Determine the approximate distance between this point on the line and the yintercept point.
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Question 5 of 20
5. Question
What is the equation of a circle with center (5, 7) and passing through the point (4, 7)?
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Question 6 of 20
6. Question
If the fourth and sixth terms of a geometric progression are 125/2 , and 3125/8 , respectively, then find the first term of the sequence.
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Question 7 of 20
7. Question
Find the approximate length of the resultant of the following vectors.
5\mathbf{i}3\mathbf{j}+6\mathbf{k}
4\mathbf{i}+10\mathbf{j}4\mathbf{k}
6\mathbf{i}8\mathbf{j}+7\mathbf{k}CorrectIncorrect 
Question 8 of 20
8. Question
Find the inverse of matrix A.
\mathbf{A}=\left[\begin{matrix}2&6\\5&7\\\end{matrix}\right]
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Question 9 of 20
9. Question
Find the product of the complex numbers 5 – 4j and 9 – 4j.
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Question 10 of 20
10. Question
Find the subtraction of the vector 10 + 9j from the vector 9 + 19j.
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Question 11 of 20
11. Question
Which of the following is NOT a correct derivative?
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Question 12 of 20
12. Question
Which of the following is the approximate area bounded by the curves y=x^26x+8 and y=4xx^2 ?
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Question 13 of 20
13. Question
If the vector field is F=x\mathbf{i}y\mathbf{j} , where i and j are unit vectors, then
I. div\vec{F} = 0
II. curl\vec{F} = 0
III. div\vec{F} ≠ 0
IV. curl\vec{F} ≠ 0CorrectIncorrect 
Question 14 of 20
14. Question
A baker estimates that if she sells her freshly baked bread now, she will obtain 210 loaves, which she can sell at $5.00 per loaf. However, she estimates that her production will increase by an additional 20 loaves of bread for each day that she delays selling, but the price will drop at a rate of $0.10 per loaf per day. In addition, she will experience a spoilage rate of approximately 5 loaves for each day she delays. In order to maximize her revenue, how many days should she wait before selling the bread?
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Question 15 of 20
15. Question
Consider the given parametric equations:
x=t9t^3
y=t^42t^3+3t^2+4Find \frac{dy}{dx} .
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Question 16 of 20
16. Question
What is the general solution for the differential equation \frac{d^2y}{dx^2}3\frac{dy}{dx}+2y=0 ?
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Question 17 of 20
17. Question
What is the solution of the differential equation \frac{dy}{dx}\frac{1}{x}y+sec\left(\frac{y}{x}\right)=0 .
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Question 18 of 20
18. Question
Consider a sequence of numbers that follows a unique pattern such that each term is the sum of the two preceding terms.
If f(1) = 10 and f(2) = 4.5, what is the value of f(5)?
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Question 19 of 20
19. Question
Consider a study which gives the results for a total sample size of 14 as follows:
5, 6, 6, 7, 9, 9, 10, 10, 13, 16, 19, 20, 22, 23
Which value is closest to the mean?
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Question 20 of 20
20. Question
A box contains 200 chits, each with a unique number from 1 to 200 written on it. One chit is drawn from the box. What is the probability that the number on the drawn chit will be even or greater than 120?
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