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What is Exponential Functions ?Exponent Laws Review:
A) Ax / Ay = A(x + y) B) Ax / Ay = A(x - y) C) (ABC)x = AxBxCx D) ((Ax)y)z = Axyz E) (A/B)x = Ax /Bx
Definition of Exponents: For any real number a, a > 0, and any real number x, ax is a unique real number. In functional notation: f (x) = ax (a > 0) Example 1: Graph y = 2x.
Solution: Find some points that satisfy the equation by setting x and finding y. Graph the points.
x
-3
-2
-1
0
1
2
3
y
1/8
1/4
1/2
4
8
finding missing values from given triangle diagra m..
One of the simplest physical situations to imagine of is a falling object. Thus let's consider a falling object along with mass m and derive a differential equation as, when resolv
It is the last case that we need to take a look at. Throughout this section we will look at solutions to the system, x?' = A x? Here the eigenvalues of the matrix A are compl
Determine the mean of the subsequent numbers: Example: Determine the mean of the subsequent numbers: 5, 7, 1, 3, 4 Solution: where x' =
how do we figure it out here is an example 3,4,6,9,_,_,_,_,_,. please help
Infinite limits : Let's now move onto the definition of infinite limits. Here are the two definitions which we have to cover both possibilities, limits which are positive infinity
A photographer decides to decrease a picture she took in sequence to fit it within a certain frame. She requires the picture to be one-third of the area of the original. If the ori
How do you multiply frations?
The next kind of problem seems as the population problem. Back in the first order modeling section we looked at several population problems. In such problems we noticed a single po
A subset of the real line is called as an interval. Intervals are very significant in computing inequalities or in searching domains etc. If there are two numbers a, b € R such tha
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