FE EXAM

Question 1

Given the following triangle the length (cm) of side ab is most nearly

Answer 1

Basically find missing angles, then use law of sines or law of cosines to find missing side.

Question 2

Multiply complex numbers

Answer 2

Just remember that i^2 = -1, and you will be able to simplify.

Question 3

Divide complex numbers.

Answer 3

Multiply top and bottom by complex conjugate to expand then simplify.

Question 4

What is the complex conjugate of the following two complex numbers:
-i+1, 5i+10

Answer 4

i+1, -5i+10

Question 5

If you see a partial derivative which will look like ∂f/∂y, what do you do?
ex: xy+ x(y^2)

Answer 5

you just take the derivative with respect to y and leave all the x’s as normal. x+2xy

Question 6

Second-Order Linear Homogeneous Differential Equations with Constant Coefficients

Answer 6

Basically you just find a & b and put them into the conditions and see which one they match.

Question 7

X axis corresponds with cos or sin?

Answer 7

cos

Question 8

y axis corresponds with cos or sin

Answer 8

sin

Question 9

cross product rule regarding a x b = c

Answer 9

(.) =dot product
c(.)a = c(.)b = 0

Question 10

cross product of [a1,a2,a3], & [b1,b2,b3]

Answer 10

a2b3-a3b2,
a3b1-a1b3
a1b2-a2b1

Question 11

magnitude of vector

Answer 11

square root of all constants squared

Question 12

if you are given mean, std dev, and asked probablity what equation do you use.

Answer 12

Zvar

Question 13

what does 4! mean in math?

Answer 13

432*1

Question 14

Probability of a coin toss would be what probability equation

Answer 14

keyword search multinomial

Question 15

If you see compounded monthly or compounded quarterly

Answer 15

Non annual

Question 16

power loss in cable/wire

Answer 16

(current in conductor*area)^2 * resistance per unit length

Question 17

power dissipate in resistor

Answer 17

source voltage^2 / resistance