Ch. 4, 5, 14 (Exps, logs, conics)
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46 Terms
ax , x is a positive integer
a * a * a….(x times)
a-x , x is a positive integer
1/ax
ax * ay
ax+y
ax/ay
ax-y
(ax)y
axy
a0
1
ax/y
x is the power, y is the root
radical form for am/n
where n is even
lxl
e = ?
e is approximately…
2.718…
f(x) = bx, b>1
f(x) = bx, 0<b<1
f(x) = ex
loga(xy)
loga(x) + loga(y)
loga(x/y)
loga(x) - loga(y)
loga(xy)
y * loga(x)
Change of base formula , logb(a)
loga/logb = lna/lnb
ln(1)
0
ln(e)
1
f(x)=logb(x), b>1
f(x)=logb(x), 0<b<1
f(x)=lnx
Investment equation simple interest A=
A=P(1+rt) ; P=principle, r=interest rate (decimal), t= # of years
Investment equation compound interest A=
P=principle, r=interest rate (decimal), t= # of years
Investment equation continuous interest A=
A=P(e)rt ; P=principle, r=interest rate(decimal), t = # of years
Population growth y =
y = B(e)kt , k > 0
Radioactive decay y =
y = B(e)kt, k < 0
Population growth model
Radioactive decay model
Bounded growth y =
y = A - B(e)-kt, t => 0
Logistic growth y =
Bounded growth graph
Logistic growth graph
Standard form of a conic
Ax2 + By2 + Cx + Dy + E + 0 ; A & B cannot both = 0
What is the focus and directrix of a parabola? y = a(x-h)2 + k
Focus→ (h, k +1/4a)
Directrix→ y = k - 1/4a
Intercept form of a circle
Intercept form of a ellipse
Intercept form of a hyperbola
In a Conic section, c = ?
The distance from the center to the focus/foci
To find the foci…
ellipse: c2 = a2 - b2
hyperbola: c2 = a2 + b2
To find the asymptotes for a hyperbola…
(y-k) = +-b/a(x-h)
Is the graph of…
Point (h,k)
Is the graph of…
empty set
Is the graph of…
Two lines (asymptotes)
Is the graph of…
A hyperbola (still)
Note 
Flashcards (22)