Mean Value Theorem: c for f(x)=sinx on [1,1.5]

Thread starter karisrou
Start date Apr 7, 2009
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Mean Mean value theorem Theorem Value

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The Mean Value Theorem (MVT) is applied to the function f(x) = sin(x) on the interval [1, 1.5]. The calculation starts with finding the difference in function values, resulting in 0.156, which is then divided by the interval length of 0.5, yielding 0.312. However, this value is identified as incorrect, prompting a request for clarification and further discussion on the correct application of the theorem. Participants are encouraged to review previous posts for additional context. The conversation emphasizes the importance of accurate calculations in applying the Mean Value Theorem.

Apr 7, 2009

karisrou

6. The number c satisfying the Mean Value Theorem for f(x) = sinx on the interval [1,1.5]:

So if the MVT is f(b) - f(a) / b-a

.997 - .841 / 1.5 - 1

so .156 / .5

so .312

But that isn't the correct answer. Any thoughts?

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Apr 7, 2009

n!kofeyn

Please see my post on your previous thread.

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