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>
Answer:
6.7
Step-by-step explanation:
60$-37.45=22.55
22.55/3.35=6.731
Which rounds to 6.7
OK. SO first you need to know how many pints are in a gallon. ( one gallon = 8 quarts )
One day = one pint. So we want to find what 366 days equals. 1*366=366 pints in 366 days. We now have 366 pints. We need to convert that to gallons. One gallon equals 8 quarts, so we divide 366 by 8. 366/8= 45.75
So in one leap year a person drinks 45.75 gallons of milk
If that doesn't make sense, ask and i can re explain. Hope that helped! <span />
Answer: 12k + 5
Hope this helps:)
Answer:
224 cubes
Step-by-step explanation:
The volume of the cubes is 1/64. Because 1/4*1/4*1/4=1/64.
The volume of the prims is 14/4 because 7/4*2*1=14/4.
Take the 14/4 and divide it by 1/64.
Which equals 896/4 = 224
Hope that helped.
