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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
Consider the temperature distribution in a 1D flat plate, insulated at x = L and exposed to convective heat transfer at x = 0. On the axes below, sketch what the distribution looks
1. How many closed necklaces of length 7 can be made with 3 colors? (notice that 7 is a prime) 2. How many closed necklaces of length 10 can be made with 3 colors (this is di erent
1/8 +2 3/4
What is Identities and Contradictions ? Look at this equation: x + 1 = 1 + x It happens to be true always, no matter what the value of x. (Try it out! What if x is 43?)
Illustration of Rank Correlation Coefficient Sometimes numerical data such refers to the quantifiable variables may be described after which a rank correlation coefficient may
DEVELOPING AN UNDERSTANDING : The other day I was showing the children's book '203 Cats' to my 7-year-old niece. She had recently learnt how to write large numerals in her school
verify liouville''s theorem for y''''''-y''''-y''+y=0
Q) In 3D-geometry give + and - signs for x,y,z, in all eight octants Ans) There is no specific hard rule for numbering the octants. So, it makes no real sense to ask which octan
Determine whether the following numbers are odd or even: Examples: Determine whether the following numbers are odd or even: 364, 1068, & 257. Solution: 1.
Physical fitness association 1 mile run. It is known to have a normal distribution, mean 450 sec. SD 50 sec. How many in the top 10% fastest runners? Need to know what time they ha
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