calculus

In a certain city the temperature (in degrees Fahrenheit) t hours after 9 a.m. was approximated by the function
T(t) = 50 + 14sin((pi*t)/12).
Find the average temperature (in degrees Fahrenheit) during the period from 9 a.m. to 9 p.m.

I got (1/12)((12/pi)(50(12)-14cos((pi)))+(12/pi)(50(0)-14cos((0)/12))) but it's wrong...

Use wolframalpha website, it helps!

Thank you for your time!

  1. 👍
  2. 👎
  3. 👁
  1. 1/12-0 integral from 0 to 12 for 50+14 sin(pit/12)
    1/12 [50 t-14.12/pi cos pit/12] from 0 to 12
    50 t28/pi
    =58.9

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    The temperature, t, in degrees Fahrenheit, in a certain town on a certain spring day satisfies the inequality | t - 24 | is less than or equal to 30. Which of the following temperatures, in degrees Fahrenheit, is NOT in this

  2. math

    At midnight, the temperature in a city was 5 degrees Celsius. The temperature was dropping at a steady rate of 2 degrees Celsius per hour. Write an inequality that represents the number of hours past midnight, when the temperature

  3. Math

    Jason's Fahrenheit thermometer was broken. He wanted to know whether he should put shorts on or a winter coat. He had a Celsius thermometer and it read 30 degrees Celsius. What was the temperature in Fahrenheit? (Use Fahrenheit =

  4. Math

    Starting at 1:00 p.m., the temperature changes −4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours xx it will take to reach −1°F.

  1. math

    the formula C=5/9(F-32) is used to convert Fahrenheit temperature,F, to Celsius temperature,C. What temperature in Fahrenheit is equivalent to a temperature of 100 Celsius. I know that in Fahrenheit its 212 degrees, but i used it

  2. Calc

    The wind chill is the temperature, in degrees Fahrenheit, a human feels based on the air temperature, in degrees Fahrenheit, and the wind velocity (v), in miles per hour (mph). If the air temperature is 32degrees Fahrenheit, then

  3. math

    HELP C= 5 9 (F−32) The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true? A temperature

  4. algebra

    A body was found at 10 a.m in a warehouse where the temperature was 40 degrees Fahrenheit. The medical examiner found the temperature of the body to be 80 degrees Fahrenheit. What is the approximate time of death? Use Newtons law

  1. algebra

    The formula F=9/5C+32 changes a temperature reading from the Celcius scale C to the Fahrenheit scale F. What is the temperature measured in degrees Fahrenheit when the Celsius temperature is -5°?

  2. math

    The temperature in degrees Fahrenheit is equal to 32 more than 9/5 times the temperature in degrees Celsius. One day the high temp. was 95 degrees Fahrenheit. What was the high temp. in degrees celsius? I did 32+(9/5*35) 32+63=95

  3. Earth science

    If it is 75 degrees Fahrenheit at ground level, what is the temperature at 4000ft (under normal circumstances)? A. 32 degrees Fahrenheit B. 42 degrees Fahrenheit C. 45 degrees Fahrenheit D. 53 degrees Fahrenheit E. 58 degrees

  4. math

    Katie converts the outside temperature from degrees fahrenheit, f, to degrees celsius, c. She uses the formula below to convert the temperature. (F-32)5/9=c if the outside temperature is 50 degrees fahrenheit, what is the outside

You can view more similar questions or ask a new question.