1. x = 118 2. x = -54 3. x = -54 4. x = -54
Answer:
52 miles/week (12 more miles per week)
Step-by-step explanation:
In order to know the miles per week with this increasement, we'll use the rule of 3, assuming that 40 miles is the 100% innitially so:
If:
40 miles --------->100%
X miles ----------> 30%
Solving for X we have the following:
X = 30 * 40 / 100 = 12 miles
So, if Adam wants to increase his weekly mileage by 30%, he needs to run 12 more miles, and that makes a total of 52 miles/week
Split up the interval [0, 3] into 3 equally spaced subintervals of length 
. So we have the partition
[0, 1] U [1, 2] U [2, 3]
The left endpoint of the 
-th subinterval is
where 
.
Then the area is given by the definite integral and approximated by the left-hand Riemann sum
The answer is 0.5. I hope this is helpful.
