If x=3 then the f(x)=4
If x=6 then the f(x)=7
If x=7 then the f(x)=8
In order to find the maximum of the function, we have to find the roots of the first derivative.

This gives us the time at which the ball reaches its maximum height.
We don't know s. We can find it because we know that at t=0 the ball is on the ground and its height has to be zero.

Finally, we can find the maximum height:

The answer is
C.
Answer:
The age of the pottery bowl is 10523 years.
Step-by-step explanation:
Amount of substance:
The amount of a substance after t years is given by the following equation:

In which A(0) is the initial amount and r is the decay rate.
Half-life of C14.
Researching, the half-life of c-14 is 5730 years.
This means that:

We use this to find r. So



![\sqrt[5730]{(1-r)^{5730}} = \sqrt[5730]{0.5}](https://tex.z-dn.net/?f=%5Csqrt%5B5730%5D%7B%281-r%29%5E%7B5730%7D%7D%20%3D%20%5Csqrt%5B5730%5D%7B0.5%7D)


So

Age of the pottery bowl:
We have that:

We have to find t. So







So
The age of the pottery bowl is 10523 years.
Answer:
$52
Step-by-step explanation:
0.2 x 65 = 13
65-13 = 52