**Initial Value problems:**

When you are given a rate of change and you want to find a new value at a new time or something.

Usually if you KNOW velocity, but you want a position.

**Tricky Problems:**

Sometimes they will give you the derivative of a rate, but you WON’T need it, the rate you get is all that you need.

REMEMBER to read if it is a rate or a position function.

ALSO

If they give you an interval STICK WITH IT, do not put in 0 if the problem only wants 20 to 25.

**The average height of a function on an interval:**

The Area/Integral of the function divided by the length of the interval

**Example:**

**Rates In and Out:**

**Is the level of liquid RISING or FALLING at a certain time:**

Simply evaluate each function at the given time and take the difference.

**How much liquid do we have at a given point in time:**

You will get the initial value in the beginning of the problem, and time is “b”