Vectors and Scalars
A directed line segment
What is a vector?
The most common function to have undefined values and be only positive.
What is the square root of x?
What is the Quadratic Function?
______ is the long form of ln.
What is the natural log?
What are the equations of the asymptotes of a hyperbola?
Is typically defined by the equation F * AB where F is force and AB is a vector from point A to point B.
What is work?
Delta y divided by Delta x
What is slope?
The line y=b is a ______ in the graph of a function f if f(x) approaches b as x increases or decreases without bound.
What is a horizontal asymptote?
This property states that logbM=logaM/logab for any logarithmic base a,b and any positive number M.
What is the Change of Base Property?
this is a less commonly known method to solve an augment matrix into a pattern like:
[1 0 0 | a ]
[0 1 0 | b ]
[0 0 1 | c ]
What is Gauss-Jordan Elimination?
The vector sum ai + bj, where a is the horizontal component and b is the vertical component.
What is a linear combination?
This number is the average velocity of a soccer ball rolling down a ramp where s(t) = 5.5t2 from 3 seconds to 3.1 seconds.
*The answer is in f/s
**Only weird mathy one, I promise.
What is 33.55 ft/s?
This theory states that if f(x) is a polynomial of degree n, where n is > or = to 1, then the equation f(x) = 0 has at least one complex root.
What is the Fundamental Theorum of Algebra?
An equation that is expressed as:
bM = bN where M=N
What is an Exponential Equation?
________ is the name given to the process of multiplying a matrix A by a real number (or scalar). cA = [caij]
What is scalar multiplication for vectors?
The name of v1 and v2 such that v = v1 + v2.
What are vector components?
Between y = x2 and y2 = x, which one is symetric across the x-axis?
What is y2 = x?
This function has a formula:
f(x) = anxn + an-1xn-1+...+a2x2+a1x+a0
where an,an-1,...,a2,a1,a0 are real numbers, and an does not equal 0.
What is a polynomial function?
This rule states that logb(M/N) = logbM - logbN such that M,N,and b are real numbers and b does not = 1
What is the quotient rule?
x2/a2 + y2/b2 = 1 or x2/b2+ y2/a2 = 1
What is the standard forms of the equation of an ellipse?
When this is used between two vectors ,v and w, the following equations occur:
=a1a2 + b1b2
=||v||||w||cosθ
*Where v = a1i + b1j and w = a2i + b2j.
What is the dot product?
A test that determines if a graph is a function using a line.
What is the vertical line test?
This Algorithm is:
If f(x) and d(x) are polynomials, and d(x) does not = 0 and the degree of d(x) is less than or = degree of f(x), than there exist a unique a(x) and r(x) such that f(x) = d(x) * a(x) + r(x) The r(x) equals 0 or it is of a degree less than the degree of d(x).
What is the Division Algorithm?
This transformation can be explained using the following
f(x) = bx+c or f(x) = bx-c
What is horizontal translation?
The product of an mxn matrix, A, and an nxp matrix B, is an mxp matrix, AB, whose elements are as follows: The element in the ith row and the John column of AB is found by multiplying each element in the ith row of A by the corresponding element in the jth column of B and adding the products
What is Matrix Multiplication?