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Math Help - Application

  1. #1
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    Application

    E. coli is a type of bacterium. Its concentration, P parts per million (ppm), at a particular beach over a 12-hour period t hours after 6am, is described by the function P= 0.05sin(pi*t/12)+0.1

    a) find the miximum and the minimum, E. coli levels at the beach.
    b) what is the level at 3pm?
    c) how long is the level above 1.125 ppm during the first 12 hours after 6pm?

    (just so you know by * i mean the multiplication sign, and by / i mean divide. In the function

    help with this will be very appreciated
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  2. #2
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    Quote Originally Posted by iFuuZe View Post
    E. coli is a type of bacterium. Its concentration, P parts per million (ppm), at a particular beach over a 12-hour period t hours after 6am, is described by the function P= 0.05sin(pi*t/12)+0.1

    a) find the miximum and the minimum, E. coli levels at the beach.
    b) what is the level at 3pm?
    c) how long is the level above 1.125 ppm during the first 12 hours after 6pm?

    (just so you know by * i mean the multiplication sign, and by / i mean divide. In the function

    help with this will be very appreciated
    What have you tried? Where are you stuck?
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  3. #3
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    Quote Originally Posted by mr fantastic View Post
    What have you tried? Where are you stuck?
    I just dont understand at its askin me im not good with applications i got the answears but i want to se if some one can answear this for me
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  4. #4
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    if some one can answear this for me
    Please note that this is forum is not a homework machine.

    a) Have you tried drawing the function? Or at least sketching it?
    b) The formula gives the level of E. coli .
    c) Do you see why this is an inequality?
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  5. #5
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    Quote Originally Posted by iFuuZe View Post
    I just dont understand at its askin me im not good with applications i got the answears but i want to se if some one can answear this for me
    Can you do part (a)?
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  6. #6
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    no im having trouble with this as i dont understand the question very well, if anyone can please answear it
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  7. #7
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    Quote Originally Posted by iFuuZe View Post
    no im having trouble with this as i dont understand the question very well, if anyone can please answear it
    what is the maximum value of sin(anything) ?
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  8. #8
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    Quote Originally Posted by iFuuZe View Post
    no im having trouble with this as i dont understand the question very well, if anyone can please answear it
    You are expected to have learned something from the help you were given here http://www.mathhelpforum.com/math-he...-a-161428.html

    and here http://www.mathhelpforum.com/math-he...on-161426.html

    Please review those threads, go back to the question you have posted, and make an effort and then be specific on where yuo are stuck.
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  9. #9
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    Ok i looked over the two previous applications and did part a and b, but i dont understand c) how long is the level above 1.125 ppm during the first 12 hours after 6pm? do you put 12 and 6 in the rule as t or do you put 1.125 and times it by 12 and 6?
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  10. #10
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    Quote Originally Posted by iFuuZe View Post
    Ok i looked over the two previous applications and did part a and b, but i dont understand c) how long is the level above 1.125 ppm during the first 12 hours after 6pm? do you put 12 and 6 in the rule as t or do you put 1.125 and times it by 12 and 6?
    I assume you meant
    c) how long is the level above 1.125 ppm during the first 12 hours after 6am?
    Draw a graph of P= 0.05sin(pi*t/12)+0.1, from t = 0 (6 am) to t = 12. On the same set of axes, draw the line P = 1.125. Calculate the t-coordinates t1 and t2 of the first two intersection points. Then you should see that the answer is t2 - t1.
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  11. #11
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    thanks so did you get 10-2=8 as your answear?
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  12. #12
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    Quote Originally Posted by iFuuZe View Post
    thanks so did you get 10-2=8 as your answear?
    I don't do the calculations, I provide help. What values did you get for t1 and t2?
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