The answer Is A. 13p hope it helps
The expression of integral as a limit of Riemann sums of given integral
is 4
∑
from i=1 to i=n.
Given an integral
.
We are required to express the integral as a limit of Riemann sums.
An integral basically assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinite data.
A Riemann sum is basically a certain kind of approximation of an integral by a finite sum.
Using Riemann sums, we have :
=
∑f(a+iΔx)Δx ,here Δx=(b-a)/n
=f(x)=
⇒Δx=(5-1)/n=4/n
f(a+iΔx)=f(1+4i/n)
f(1+4i/n)=![[n^{2}(n+4i)]/2n^{3}+(n+4i)^{3}](https://tex.z-dn.net/?f=%5Bn%5E%7B2%7D%28n%2B4i%29%5D%2F2n%5E%7B3%7D%2B%28n%2B4i%29%5E%7B3%7D)
∑f(a+iΔx)Δx=
∑
=4
∑
Hence the expression of integral as a limit of Riemann sums of given integral
is 4
∑
from i=1 to i=n.
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The slope is 3, count from one point to o other. If you go from -2,0 up to -1,3 you go up 3 and over one so the slope is 3

This line is in the format
, where
is the slope.
A horizontal line has a slope of
.
A vertical line has an undefined slope.
A positive slope makes the line go upwards and to the right.
<em>A negative slope makes the line go downwards and to the right.</em>
Well, let's first find our rate of bags to meters.
If 12 bags of plaster covers 54m^2, then we need to divide 54 by 12 to figure out how many meters 1 bag of plaster covers. We will then use that rate and divide 36 by it in order to solve for how many bags of plaster is required.
54 / 12 = 4.5.
This means each bag of plaster covers 4.5m^2.
Divide 36 by 4.5;
36 / 4.5 = 8.
This means that we will need 8 bags of plaster to cover 36m^2.
I hope this helps!