Given:
The table of values of an exponential function.
To find:
The function for the given table of values.
Solution:
The general exponential function is:
...(i)
Where, a is the initial value and b is growth factor.
From the given table it is clear that the function passes through the points (1,9) and (2,36). It means the function must be true for these two points.
...(ii)
...(iii)
On dividing (iii) by (ii), we get
Putting
in (ii), we get


Putting
in (i), we get


The function notation with variable n is:

Therefore, the correct option is D.
It is prime, it can't be divided by anything, but itself and one.
You set up a proportion. first, put the percent so if it's 30 percent, it would be 30 over 100. Then, set up the second part. is over of.
: Let y = f(x) = x^1/3
Then dy = 1/3*x^(−2/3) dx
Since f(64) = 4.
We take x = 64 and dx = ∆x = 1
This gives dy = 1/3*(64)^(−2/3)* (1) = 1/48
∴65^(1/3) = f(64 + 1) ≈ f(64) + dy = 4 + 1/48 ≈ 4.021 <span>
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Answer:
-4y/3
Step-by-step explanation:
If we have -4xy/3x, we just cancel the x since it is in the numerator and denominator. That leaves us with just -4y/3