Answer:
its 66.96
Step-by-step explanation:
to find the area we do the length x height of the shape
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.
Learn more about integral at brainly.com/question/27419605
#SPJ4
Answer:Kyle’s claim is not reasonable
Step-by-step explanation:
Total length of the string of the necklace that Kyle covered with black beads is 5/8.
Total length of the string of the necklace that Kyle covered with white beads is 1/4.
Total length of the string of the necklace that Kyle covered with black beads and white beads is would be
1/4 + 5/8 = 7/8 = 0.875
Kyle thought that he will cover 6/12 of the string with beads. 6/12 = 0.5
It means that he covered more than 6/12. Kyle's claim was wrong
Jon reflected over the x axis.
Reflecting over the x axis turns the y corrdinate into the opposite sign of the y coordinate. Here is the formula for that, if you want to take notes.
(x,y)—>(x,-y)
I hope this helped. Your answer to this question is D
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