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# Solved: Temperature data Hourly temperature data for

ISBN: 9780321570567 2

## Solution for problem 28E Chapter 7.6

Calculus: Early Transcendentals | 1st Edition

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Problem 28E

Temperature data Hourly temperature data for Boulder, CO, San Francisco, CA, Nantucket, MA, and Duluth, MN, over a 12-hr period on the same day of January are shown in the figure. Assume that these data are taken from a continuous temperature function T(t). The average temperature over the 12-hr period is .

Find an accurate approximation to the average temperature over the 12-hour period for San Francisco. State your method.

Step-by-Step Solution:
Step 1 of 3

Problem 28E

Temperature data Hourly temperature data for Boulder, CO, San Francisco, CA, Nantucket, MA, and Duluth, MN, over a 12-hr period on the same day of January are shown in the figure. Assume that these data are taken from a continuous temperature function T(t). The averagetemperature over the 12-hr period is .

Find an accurate approximation to the average temperature over the 12-hour period for San Francisco. State your method.

Step-1;

Given that temperature  data  hourly temperature data for Boulder  , Co,San francisco ,CA, Nantucket ,MA , and Duluth ,MN  over a 12 -hr  period on the same day of  January  are shown  in the figure.

And also given that these data  from a continuous   temperature function T(t) .The average temperature over the 12-hr period is   = T(t) dt.

Given table is ;

Step-2 ;

Now , we have to find out an accurate approximation to the average temperature over the 12-hr period  for San Francisco.

For our convenience in this problem we have to choose midpoint  Rule approximations  to the given integral.

Midpoint  sum (also Midpoint approximation  )  uses midpoint of subintervals;

f(x) dx   (f() + f() +f() +.............+f()+f())

Where  =  , a =  and b = , [a ,b] is the interval .

[ ] ,  [ ]  ,   [ ] ………..  [ ]  are the subintervals in   [ a , b]  .

Step-3;

Now , the given integral is ;    = T(t) dt.

Now, we have to indicated midpoint Rule approximations  to the given integral ,using n = 6 subintervals.

n= 6  , a =   = 0 and b = = 12  , then   =  =  = 2.

Divide interval [0, 12]  into  n =6 , subintervals of length  = 2  with the following endpoints a =  =...

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321570567

The full step-by-step solution to problem: 28E from chapter: 7.6 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This full solution covers the following key subjects: temperature, data, period, San, francisco. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Since the solution to 28E from 7.6 chapter was answered, more than 598 students have viewed the full step-by-step answer. The answer to “Temperature data Hourly temperature data for Boulder, CO, San Francisco, CA, Nantucket, MA, and Duluth, MN, over a 12-hr period on the same day of January are shown in the figure. Assume that these data are taken from a continuous temperature function T(t). The average temperature over the 12-hr period is . Find an accurate approximation to the average temperature over the 12-hour period for San Francisco. State your method.” is broken down into a number of easy to follow steps, and 70 words.

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