💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Get the answer to your homework problem.

Try Numerade Free for 7 Days

Like

Report

Shown is the graph of traffic on an Internet Service provider's T1 data line from midnight to 8:00 am. $ D $ is the data throughput, measured in megabits per second. Use Simpson's Rule to estimate the total amount of data transmitted during that time period.

$\approx 15696$ Mbits $\quad$

01:30

Amrita B.

Calculus 2 / BC

Chapter 7

Techniques of Integration

Section 7

Approximate Integration

Integration Techniques

Missouri State University

Baylor University

University of Nottingham

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

01:24

Shown is the graph of traf…

02:41

Internet-Connected Devices…

02:35

The graph of the accelerat…

02:15

Water leaked from a tank a…

02:53

02:50

The accompanying graph sho…

01:54

An airplane's velocit…

00:37

A Webmaster estimates that…

0:00

The velocity graph of an a…

00:57

Okay. This question wants us to estimate the integral of this data graph using Simpsons Rule. So remember, Simpsons Roll says that the integral from A to B of F of X is approximately equal to the Simpson approximation, which is Delta X over three times f of a plus four times the odd sub intervals plus two times the even sub intervals plus effort be So now we just need to decide what our Ennis. So since the graph goes from zero to a and we like to pick imagers because it is easy to read, will have nine data points. And if we have nine data points, that means that end should be eight, cause we always pick data points minus one for n value. So that means that Delta X equals well, going from zero to a, and we have eight sub intervals. So Delta X is one which works out nicely. So from there, we can say that are integral is approximately equal to Subait, which is just 1/3 times F zero plus four times f of one plus two times f of two. Plus that that and this continues up until four times after seven plus f of age, and this will vary a lot because this craft could be kind of hard to read. So I got an answer of about 15 700 megabits. And again, anything in the 15 1,016,000 range is a pretty good estimate, depending on how you rounded.

Numerade Educator

In mathematics, integration is one of the two main operations in calculus, w…

In grammar, determiners are a class of words that are used in front of nouns…

Shown is the graph of traffic on an Internet service provider's T1 data…

Internet-Connected Devices. The number $d(t),$ in millions, of Internet-conn…

The graph of the acceleration $ a(t) $ of a car measured in $ ft/s^2 $ is sh…

Water leaked from a tank at a rate of $ r(t) $ liters per hour, where the gr…

Water leaked from a tank at a rate of $r(t)$ liters per hour,where the g…

The accompanying graph shows the total distance $s$ traveled by a bicyclist …

An airplane's velocity is recorded at 5 -min intervals during a 1-hour …

A Webmaster estimates that the time (seconds) to connect to the server when …

The velocity graph of an accelerating car is shown.

(a) Use the Midp…

The velocity graph of an accelerating car is shown. (a) Use the Midpoint rul…