Answer: 0.12
5^-2=0.04
the cube root of 27=3
0.04x3=0.12
Tax=tax rate times cost of product
tax=17.50
cost of product=250
17.50=rate times 250
divide both sides by 250
17.50/250=rate
0.07=rate
percent means parts out of 100
0.07/1 times 100/100=7/100=7%
7%=rate
answer is 7% tax
Answer:
See Below.
Step-by-step explanation:
We want to show that the function:

Increases for all values of <em>x</em>.
A function is increasing whenever its derivative is positive.
So, find the derivative of our function:
![\displaystyle f'(x) = \frac{d}{dx}\left[e^x - e^{-x}\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5Be%5Ex%20-%20e%5E%7B-x%7D%5Cright%5D)
Differentiate:

Simplify:

Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of <em>x.</em>