Julie would reach her goal first. Julie would reach her goal in approximately 316 days while it would take Mary approximately 333 days to reach it.
I know this because the steps to solve the problem are:
1.) 1,000/12 = 83.333 (to find how many days it would take her everyday)
2.) 83.333x4 = 333 (multiplying the answer by four makes it every four days)
3.) determine that it takes Mary 333 days
4.) 1,000/19 = 52.631 (just like step 1 but with different numbers)
5.) 52.631x6 = 316 (just like in step 2 but different numbers)
6.) determine it takes Julie 316 days
7.) 316 < 333 (takes Julie less time)
Splitting up the interval of integration into
subintervals gives the partition
![\left[0,\dfrac1n\right],\left[\dfrac1n,\dfrac2n\right],\ldots,\left[\dfrac{n-1}n,1\right]](https://tex.z-dn.net/?f=%5Cleft%5B0%2C%5Cdfrac1n%5Cright%5D%2C%5Cleft%5B%5Cdfrac1n%2C%5Cdfrac2n%5Cright%5D%2C%5Cldots%2C%5Cleft%5B%5Cdfrac%7Bn-1%7Dn%2C1%5Cright%5D)
Each subinterval has length
. The right endpoints of each subinterval follow the sequence

with
. Then the left-endpoint Riemann sum that approximates the definite integral is

and taking the limit as
gives the area exactly. We have

Answer:
option 3
Step-by-step explanation:


The answer is 18. F(2) is saying that x is equal to 2. so where ever there is an x in the problem you should fill in 2 for. then all you have to do is type it into a graphing calculator and solve.