Exam 2 Flashcards
Not 1-1 functions
Two X values have the same y values.
Graphing log functions
Take exponential questions and reflect over y=X line.
Loge
Ln
Loga1 =
0
Loga a =
1
Loga XY=
Logs X + loga Y
Loga X^r =
Rloga X
Change of base equation
Loga X = logb X/logb A
B can be anything.
simple interest
I=Prt
Continuously compounded
A=Pe^rt
Present value
P=Ae^ -rt
Doubling time ( compounding)
Ln2/r=t
Growth equation
A(t) = Ao e ^kt
1 revolution
360 degrees
1 degree
60 minutes
1’
60 seconds
Degrees to radians
(Pie/ 180)
Radians to degrees
(180/pi) (radian value)
Arc length
r(theta)
Theta in radians
Area of segment
A= (r^2/2) (theta)
theta in radians
Cost
X
Sint
Y
Cot(X)
X/y
Sect
1/X
Csct
1/y
1=
Cos^2(t) + sin^2(t)
X^2+ y^2
If r is not 1 then…
X/r. Y/r. Etc.
Fog
F(g(X))- plug X in G equation. Then plug that answer into f equation for X.
Compound interest formula for times per year
A=P(1+r/n)^nt
Effective rate
Re= (e^r -1)
Effective rate times per year
Re=(1+r/n)^n -1
Domain and range for sin and cos
Domain: all reals
Range: [-1,1]
Domain and range for tan and
Domain: X can’t equal pi/2 +npie integers
Range: all reals
Domain and range for cot
Domain: X can’t equal npie
(N is an integer)
range: all reals
Domain and range for sec
Domain: X can’t equal pie/2 +npie
Range: (-infinity,-1] U [1,infinity)
Domain and range for csc
Domain: X can’t equal npie
Range: (-infinity,-1]U[1,infinity)
Sin, cos, csc, sec periods
2pie
Tan, cot period
Pie
w>1
Compressed
w
Stretched horizontally
Period
2pie/ w
Phase shift
£ / w
£= y=Asin(wx-£)
Domain for tan
Change if stretch or compressed horizontally
