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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
Some interpretations of the derivative Example Is f ( x ) = 2 x 3 + 300 +4 increasing, decreasing or not changing at x = -2 ? Solution: We already know that the rate
Derivative for Parametric Equations dx/dy = (dx/dt) / (dy/dt) , given dy/dt ≠ 0 Why would we wish to do this? Well, remind that in the arc length section of the Appl
2/4t=1/2
HOW WE CAN FACTORISE 12X+7X+1
Example determines the first four derivatives for following. y = cos x Solution: Again, let's just do so
A=30, B=45, b=4
The Rank Correlation Coefficient (R) Also identified as the spearman rank correlation coefficient, its reasons is to establish whether there is any form of association among tw
what is principle of marketing?
Calculate average speed of a train: What is the average speed of a train which completes a 450-mile trip in 5 hours? Solution: Using Equation 15: V av = s/t V a
Consider the wave equation utt - uxx = 0 with u(x, 0) = f(x) = 1 if-1 ut(x, 0) = ?(x) =1 if-1 Sketch snapshots of the solution u(x, t) at t = 0, 1, 2 with justification (Hint: Sket
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