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Evgesh-ka [11]
3 years ago
10

PLEASE HELP WILL GIVE BRAINLIEST

Mathematics
1 answer:
quester [9]3 years ago
8 0

Answer:

The answer is the same for all of the boxes. It is 3 gallons.

Step-by-step explanation:

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Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your
Veronika [31]

The expression of integral as a limit of Riemann sums of given integral \int\limits^5_b {1} \, x/(2+x^{3}) dxis 4 \lim_{n \to \infty}∑n(n+4i)/2n^{3}+(n+4i)^{3} from i=1 to i=n.

Given an integral \int\limits^5_b {1} \, x/(2+x^{3}) dx.

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 :

\int\limits^b_a {f(x)} \, dx=\lim_{n \to \infty}∑f(a+iΔx)Δx ,here Δx=(b-a)/n

\int\limits^5_1 {x/(2+x^{3}) } \, dx=f(x)=x/2+x^{3}

⇒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}

\lim_{n \to \infty}∑f(a+iΔx)Δx=

\lim_{n \to \infty}∑n^{2}(n+4i)/2n^{3}+(n+4i)^{3}4/n

=4\lim_{n \to \infty}∑n(n+4i)/2n^{3}+(n+4i)^{3}

Hence the expression of integral as a limit of Riemann sums of given integral \int\limits^5_b {1} \, x/(2+x^{3}) dxis 4 \lim_{n \to \infty}∑n(n+4i)/2n^{3}+(n+4i)^{3} from i=1 to i=n.

Learn more about integral at brainly.com/question/27419605

#SPJ4

5 0
1 year ago
How to write a book report plz help???​
nlexa [21]

Answer:

below

Step-by-step explanation:

In short, a book report is an essay that contains what you read and learned from reading a book. For example, you would write a book report in the following sequence:

  1. What ocurred in the beginning, middle, and end.
  2. What you learned from reading it.
  3. What you enjoyed about it.

Best of Luck!

3 0
2 years ago
Can anyone help me pls. Show your work.
nekit [7.7K]

Answer:Do you have a pic of the map? It would  make it easier to solve if I could see the map. Its basic area. A=base times height. If the park is 50 m long and is a square, you would do 50 times 50=2500

tep-by-step explanation:

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3 years ago
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It takes Ivanna 3 minutes to complete 2 problems on her math homework . How long will it take Ivanna to complete 12 problems?
IRINA_888 [86]
18 minutes because 6*2 is 12 and 3*6 is 18. it will take 6 minutes to do 4 problems, 9 minutes to do 6 problems , 12 minutes to do 8 problems, 15 minutes to do 10 problems, and 18 minutes to do 12 problems
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.<br> Choose the description of the graph of the equation x = -8.
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The description should be a vertical line on the negative side on the grid and the vertical line should be placed on the negative 8 on the x axis.

3 0
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