In this we need to approximate definite integral by midpoint formula.
According to this formula if we have to calculate
then we will divide the interval [a,b] into n subinterval of equal width.
Δx =
So we will denote each of interval as follows
where
Then for each interval we will calculate midpoint.
So we can calculate definite integral as
where
are midpoint of each interval.
So in given question we need to calculate
. So we will divide our interval in 6 equal parts.
Given interval is [1,2]
So we will denote 6 interval as follows
Now midpoint of each interval is
So
for the given function is
So
60 minutes = 1 hour<span>12 inches x 60 minutes = 720 inches per hour
</span><span>12 inches = 1 ft</span><span>720 inches per hour / 12 = 60 ft per hour</span> Tortoise B is faster.
Let h be high temperature for today.
We are told that today high temperature will be at least 75 degrees. This means the high temperature will be greater than or equal to 75 degrees.
Let us represent this information by our inequality.
Therefore, our desired inequality will be .