Ok first of all sorry im a little late. I wasnt sure if we still had to do blogs because on exams. And second, ima talk about the exponential functions. There are 3 main formulas: A(t)=Ao(l+r)^t, A(t)=Aob^t/k, and P(t)=Poe^rt. For the first formula:
Ao=# you start with
r=rate as a decimal
t=time
For the second formula:
t=time
Ao=what you start with
b=double, half, etc...(key words that tell you whether or not to use this formula)
k=time required to double, half, etc...
For the third formula:
Po=what you start with
r=rate
t=time
(use this formula when compounding continuously)
The things i do not understand is how to tell the difference between conics. And i also do not understand how they are supposed to look when they are written in standard form.
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Telling the difference between conics is simple.
ReplyDeletethere are four types of conics
Circle
Ellipse
Hyperbola
Parabola
each conic has a standard form.
Each standard form is unique in its own way
the unique feature of each standard form of each conic is how you will tell the difference between them.
The standard form for a circle is
(X+h)+(Y+k)= 1
keep in mind there will be times when you will have to factor the given equation in order to get to standard form.
The standard form for an Ellipse is
X/# + Y/# = #
now notice the standard for for a Hyperbola is
X/# - Y/# = # OR -X/# + Y/# = #
the way to tell them apart is to remember that an Ellipse will have no minus or negative.
If you see either a minus sign or a negative symbol for this standard form you will automatically know that the equation is a Hyperbola.
The standard form for a parabola is any equation with X^2 if im not mistaken..
if this doesnt simplify anything for you
i can give you my exact notes from class
i have everything b-rob said about each example written down so dont be cautious in asking.
Well im having a little trouble with that myself but i looked over my notes and the way i tell the difference is there standard forms are different.
ReplyDeletelook at the different standard forms in your notes on the four conics and just memorize them!