Stats
Drawing conclusions from a projected pattern of non-existing data points from a data set is __________.
What is extrapolation?
i, j, and k ___ ____.
What are unit vectors?
This subject in math is kind of rocket science.
What is multivariable calculus/vector calculus?
A logistic differential equation models ____ _____.
What is logistic growth?
(will also accept "population growth")
It is a number 1 - 5
What is 1?
If you take enough samples from a population (at least 30 samples) , the distribution of sample means is approximately normal. (Give theorem name)
What is central limit theorem?
Order of integration by parts
What is LIPET? or What is LIATE?
LIPET-
1. Logarithmic 2. Inverse 3. Polynomial 4. Exponential 5. Trig
LIATE - 1. Logarithmic 2. Inverse 3. Algebraic 4. Trig 5. Exponential
(or any other sequence that has the first three)
Graphing x^2 +y^2 = y^2 in a 3d coordinate system produces this surface.
What is a cone?
An intitial value problem involves solving a differential equation given a constraint, known as the ______ _______ , which you use to find the ______ ______.
What is an initial condition & particular solution?
It is a number 1 - 10
What is 6?
Probablity law used to determine the chance of event A happening given that event B has already happened - formula is described as "the And over the Given"
What is Baye's law?
(will also accept "Conditional probability" and "Inverse probability")
The resulting vector of a cross product of two vectors is in this direction.
What is orthogonal/perpendicular (to the plane produced by the two vectors)?
The line integral is independent of path, it only depends on the start and end points. (give name of theorem)
What is the fundamental theorem of line integrals?
(or gradient theorem of line integrals)
This method allows you to turn differential equations into algebraic equations!
What is laplace tranform?
it is a number 1 - 15
What is 11?
You are going mountain biking with two friends. If there is a 10% chance for a bike to break, what is the probability that at least one bike breaks?
(arithemetic required, take your time )
What is .271?
Complement: 1 - p(c):
Probability of none of the bikes breaking:
(0.9)^3 = .729
Complement: at least one bike breaks
1- .729 = .271
This is a taylor series approximation of a function centered at zero.
What is a Maclaurin series?
This method of finding 3 dimensional extrema uses a coefficient to set the gradient of the function proportional to the gradient of the constraint.
What is lagrange multiplier?
Given y'=2x, the solution curve that passes through (0,1) is in the shape of a ________.
What is a parabola?
it is a number 1 - 20
What is 16?
The average weight of a free cheese sample at Kay Roger is 20g. If the standard deviation is 4g, what is the probability that you get a cheese sample weighing 24g or more? (Hint: use empirical rule)
What is 0.16?
Empirical rule: first standard deviation = within 34% of the mean. Sine 24g falls on the right tail of the normal curve we can just add 50%, and the first standard deviation 34% = 84%. This is the probability of not getting a 24g cheese sample (the complement). 1 - .84 = .16
This theorem states that the slope of a secant line between two points equals the slope of the line tangent at a point between the two points (give name of this theorem)
What is mean value theorem?
This theorem, which is useful in electrostatics, relates a volume integral to the flux of a vector field through a closed surface.
What is divergence theorem / Gauss's law?
This method of approximation generates a sequence of functions that converge to the true solution by repeatedly integrating.
(Hint: this is also the musical name of the event of a minor key ending on a major chord)
(Hint #2 this is the last name of the captain of the starship USS enterprise D in the next generation)
What is Piccard's iteration?
(will accept picard and piccardy)
it is a number 1 to 133
What is 129?