Answer:
See below
Step-by-step explanation:
We start by dividing the interval [0,4] into n sub-intervals of length 4/n
![[0,\displaystyle\frac{4}{n}],[\displaystyle\frac{4}{n},\displaystyle\frac{2*4}{n}],[\displaystyle\frac{2*4}{n},\displaystyle\frac{3*4}{n}],...,[\displaystyle\frac{(n-1)*4}{n},4]](https://tex.z-dn.net/?f=%5B0%2C%5Cdisplaystyle%5Cfrac%7B4%7D%7Bn%7D%5D%2C%5B%5Cdisplaystyle%5Cfrac%7B4%7D%7Bn%7D%2C%5Cdisplaystyle%5Cfrac%7B2%2A4%7D%7Bn%7D%5D%2C%5B%5Cdisplaystyle%5Cfrac%7B2%2A4%7D%7Bn%7D%2C%5Cdisplaystyle%5Cfrac%7B3%2A4%7D%7Bn%7D%5D%2C...%2C%5B%5Cdisplaystyle%5Cfrac%7B%28n-1%29%2A4%7D%7Bn%7D%2C4%5D)
Since f is increasing in the interval [0,4], the upper sum is obtained by evaluating f at the right end of each sub-interval multiplied by 4/n.
Geometrically, these are the areas of the rectangles whose height is f evaluated at the right end of the interval and base 4/n (see picture)

but

so the upper sum equals

When
both
and
tend to zero and the upper sum tends to

Answer:
Enough water has been poured .
Step-by-step explanation:
The garden needed water in a week = 5 liters
Jacob poured water on Monday = 326 ml = ( 326/ 1000) liters = 0.326 liters.
SEAN poured water on Tuesday = 1.5 liters
Gavin poured water on Wednesday = 2312 ml = ( 2312/ 1000) = 2.312 liters.
Stephen poured water on Thursday = 894 ml = ( 894/ 1000) = 0.894 liters
The total amount of water poured by all these people = 0.326 + 1.5 +2.312 +0. 894 = 5.032 liters
Here we can see that water has been poured is more than the water required in a week.
Answer:
Step-by-step explanation:
Parallel lines have same slope.
y = mx + b
Slope = m & y-intercept = b
x - 5y = 15
-5y = -x + 15
y = 

so, slope = 1/5 ; (-5 , 7)
y -y1 = m(x -x1)
![y - 7 = \frac{1}{5}(x- [-5])\\\\y - 7 =\frac{1}{5}(x + 5)\\\\y - 7 = \frac{1}{5}x+5*\frac{1}{5}\\\\y - 7 =\frac{1}{5}x+1\\\\y =\frac{1}{5}x+1+7\\\\y=\frac{1}{5}x + 8](https://tex.z-dn.net/?f=y%20-%207%20%3D%20%5Cfrac%7B1%7D%7B5%7D%28x-%20%5B-5%5D%29%5C%5C%5C%5Cy%20-%207%20%3D%5Cfrac%7B1%7D%7B5%7D%28x%20%2B%205%29%5C%5C%5C%5Cy%20-%207%20%3D%20%5Cfrac%7B1%7D%7B5%7Dx%2B5%2A%5Cfrac%7B1%7D%7B5%7D%5C%5C%5C%5Cy%20-%207%20%3D%5Cfrac%7B1%7D%7B5%7Dx%2B1%5C%5C%5C%5Cy%20%3D%5Cfrac%7B1%7D%7B5%7Dx%2B1%2B7%5C%5C%5C%5Cy%3D%5Cfrac%7B1%7D%7B5%7Dx%20%2B%208)
Answer:
MSR=100
STQ=80
Step-by-step explanation:
Your total volume is 150 cubic feet and your weigh is .1 tons each cubic foot