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:
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>
In order to calculate how much wheat will be stored in each bag, let's divide the total amount of wheat by the number of bags:
Assuming that the amount of wheat each bag can hold is a whole number, so each bag can hold 96 kg (otherwise, each bag would hold 96.875 kg and there would be no wheat left).
Then, to find how much wheat will be left, let's calculate how much the 8 bags will hold, and then we subtract this value from the total:
So there will be 7 kg left.