Exponential Growth and Decay
Functions Using Natural Base e
Evaluate Determinants
Circles
Use Inverse Matrices to Solve Linear Systems
100
f(x)=b^x
What is the Exponential Function?
100
e
What is the Natural Base?
100
det(A)
What is the symbol for determinant?
100
Circle
What is an infinite set of points in a plane that are equidistant from the center?
100
A square matrix with 1's on the main diagonal and 0's everywhere else
What is an identity matrix?
200
"base" b>1
What is Exponential Growth?
200
Used to estimate ages of artifacts and to calculate interest that is compounded continuously.
What is Natural Base e?
200
Inverse
What is the determinant used to find?
200
Radius
What is a segment that connects the center and one spot on the circle?
200
(1/det(A)) x [d -b] [ -c a]
What is the inverse formula?
300
0<b<1
What is Exponential Decay?
300
The Natural Exponential Function.
What is f(x)=e^x?
300
(aei+bfg+cdh) - (gec+hfa+idb)
What is the equation to find a 3x3 matrix determinant?
300
Line perpendicular to the radius at point of tangency.
What is a tangent line?
300
If two square matrices have the same dimensions and their product is the identity matrix
What is an inverse?
400
Final=(Initial Amount)(Rate)^(Time Period)
What is the Exponential Growth and Decay function?
400
2.718
What is Natural Base e equal to?
400
ad-cb=0
What is no inverse?
400
Standard form of a circle.
What is x^2+y^2=r^2?
400
When the det(A)=0
What is no inverse?
500
A=P(1+(r/n))^(n)(t)
What is the Compound Interest Formula?
500
A=Pe^rt
What is the Continuous Compounding Formula?
500
ad-cb
What is the equation to find a 2x2 matrix determinant?
500
Line with opposite reciporical of slope.
What is a perpendicular line?
500
I= [1 0] [0 1]
What is the 2x2 identity matrix?
M
e
n
u