Exam 2 Flashcards
1
Q
Not 1-1 functions
A
Two X values have the same y values.
2
Q
Graphing log functions
A
Take exponential questions and reflect over y=X line.
3
Q
Loge
A
Ln
4
Q
Loga1 =
A
0
5
Q
Loga a =
A
1
6
Q
Loga XY=
A
Logs X + loga Y
7
Q
Loga X^r =
A
Rloga X
8
Q
Change of base equation
A
Loga X = logb X/logb A
B can be anything.
9
Q
simple interest
A
I=Prt
10
Q
Continuously compounded
A
A=Pe^rt
11
Q
Present value
A
P=Ae^ -rt
12
Q
Doubling time ( compounding)
A
Ln2/r=t
13
Q
Growth equation
A
A(t) = Ao e ^kt
14
Q
1 revolution
A
360 degrees
15
Q
1 degree
A
60 minutes
16
Q
1’
A
60 seconds
17
Q
Degrees to radians
A
(Pie/ 180)
18
Q
Radians to degrees
A
(180/pi) (radian value)
19
Q
Arc length
A
r(theta)
Theta in radians
20
Q
Area of segment
A
A= (r^2/2) (theta)
theta in radians
21
Q
Cost
A
X
22
Q
Sint
A
Y
23
Q
Cot(X)
A
X/y
24
Q
Sect
A
1/X
25
Csct
1/y
26
1=
Cos^2(t) + sin^2(t)
X^2+ y^2
27
If r is not 1 then...
X/r. Y/r. Etc.
28
Fog
F(g(X))- plug X in G equation. Then plug that answer into f equation for X.
29
Compound interest formula for times per year
A=P(1+r/n)^nt
30
Effective rate
Re= (e^r -1)
31
Effective rate times per year
Re=(1+r/n)^n -1
32
Domain and range for sin and cos
Domain: all reals
Range: [-1,1]
33
Domain and range for tan and
Domain: X can't equal pi/2 +npie integers
Range: all reals
34
Domain and range for cot
Domain: X can't equal npie
(N is an integer)
range: all reals
35
Domain and range for sec
Domain: X can't equal pie/2 +npie
Range: (-infinity,-1] U [1,infinity)
36
Domain and range for csc
Domain: X can't equal npie
Range: (-infinity,-1]U[1,infinity)
37
Sin, cos, csc, sec periods
2pie
38
Tan, cot period
Pie
39
w>1
Compressed
40
w
Stretched horizontally
41
Period
2pie/ w
42
Phase shift
£ / w
£= y=Asin(wx-£)
43
Domain for tan
Change if stretch or compressed horizontally
