Equation of a sphere and variables Correct Answer: (x-a)^2 + (y-b)^2 + (z-c)^2 = r^2
(a, b, c) = center of the sphere
r = radius
When asked to find the
... [Show More] area of a shaded portion on a graph.. Correct Answer: Take the integral
bounded by the x coordinates
The roots of a function are Correct Answer: Where the function's y-value is 0. Also where the graph of
the function touches the x-axis. Set the function = 0 and solve for x.
When given a polynomial fraction, you can find the roots using Correct Answer: long division
i = Correct Answer: square root of -1
i^2 = Correct Answer: -1
How to find a vector perpendicular to two vectors that are given? Correct Answer: Take the cross
product
How do you find a unit vector? Correct Answer: Divide the vector by it's magnitude. The magnitude is
the sqrt ( i^2 + j^2 + k^2)
How to take a 3d cross product Correct Answer: cover i column, cover j column, cover k column. do
diagonal multiplication with subtraction. only the j portion is negative. look it up for better details. :(
Binomial probability equation (ie. tossing a coin) Correct Answer: n!/(x!(n-x)!) • p^x • (1-p)^(n-x)
n = number of trials
p = probability of success
x = number of successes
how to work a two dice probability question Correct Answer: 1. Know that the sample space is 36.
There are a total of 6 x 6 = 36 combinations.
2. The highest sum of rolling both is 12.
inflection points come from the Correct Answer: second derivative
$ (Excel) Correct Answer: To identify an absolute cell reference, type this symbol before the column
and row. If you have $A1, the 1 will change down the column. If you have A$1, the A will change
across the row.
Set A = 17
Set K = 2
While K = 4
A = A/K
K = K+1
End While
Print A Correct Answer: A = 17/2 = 8.5
A = 8.5/3 = 2.83
A = 2.83/4 = 0.71
Print A = 0.71
VAR = 0
IF VAR < 5 THEN VAR = VAR + 2
OTHERWISE EXIT LOOP
LOOP
End value of VAR? Correct Answer: VAR = 0
VAR = 2
VAR = 4
VAR = 6
A lien is a Correct Answer: claim on property for payment of a debt (defined by the Black's Law
Dictionary)
A company borrows $100,000 today at 12% nominal annual interest. The monthly payment of a 5-
year loan is most nearly: Correct Answer: A = P(A/P, i%, n) = [i (1+i)^n] / [(1+i)^n-1]
P = 100,000
i = 12%/12 = 1%
n = 12 x 5 = 60
A = monthly payments
Identifying zero-force members Correct Answer: 1. at a 2-member joint that has no external loads (or
reactions) and the members are not parallel, both members are zero-force
2. at a 3-member joint, if two of the members are parallel and there are no external loads (or
reactions), the member that is not parallel is zero-force
what is a zero force member? Correct Answer: In a truss, it's a member that carries no load but helps
in the stability of the truss
assumptions of truss analysis Correct Answer: 1. all members are straight
2. all connections are modeled as pin joints
3. the centerline of all members must be concurrent at the joint
4. external loads act only at the joints
5. weights of members are negligible compared to the external loads
to find the equation to give the distance from the y-axis to the centroid of the shaded area, look for
what variable (from FE handbook) Correct Answer: solve for xc
to find the equation to give the distance from the y-axis to the centroid of the shaded area, dA equals
Correct Answer: dA = f(x) dx = (top - bot) dx
During an impact __(1)_____ is conserved while ___(2)_________ may or may not be conserved.
Correct Answer: (1) momentum
(2) energy
How to solve a shear diagram and find the largest bending moment Correct Answer: Take area of
various sections under shear diagram. Largest area under shear diagram = largest bending moment
Finding the stress inside a pressure vessel is found in which section of the FE handbook Correct
Answer: Mechanics of materials... [Show Less]