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Thread: fina A B and C

  1. #1
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    fina A B and C

    Y=Asin(BX+C)

    the maximum value of y is 6 when x=0, y=6
    the period of the graph is equal to PIE
    A,B and C are positive and C is less than 2PIE

    anybody???
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  2. #2
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    The period is given by $\displaystyle P = \dfrac{2\pi}{B}$ - you are given that $\displaystyle P=\pi$

    "Maximum Value" is a synonym of amplitude which is A in your equation

    Now you know A you can find C by subbing in (0,6) for (x,y)
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  3. #3
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    Quote Originally Posted by mwin002 View Post
    Y=Asin(BX+C)

    the maximum value of y is 6 when x=0, y=6
    the period of the graph is equal to PIE
    A,B and C are positive and C is less than 2PIE

    anybody???
    First, it is "pi", not "pie".

    The maximum value of y= A sin(Bx+ C) is A.

    If for some x, Bx+ C= 0, the $\displaystyle Bx'+ C= 2\pi$ when (subtract the first equation from the second) $\displaystyle B(x'- x)= 2\pi$. Since we are told that the period is $\displaystyle \pi$, we can take $\displaystyle x'- x= \pi$ to get $\displaystyle B\pi= 2\pi$.

    Finally, the maximum occurs at $\displaystyle \pi/2$. Since we are told that it happens when x= 0, we must have $\displaystyle A(0)+ B= B= \pi/2$.
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  4. #4
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    i dont get....im a surveyor not a math guru...i need to work these out for my unit standards but god dam i cant get my head around...

    thanks for tryinh to help
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