SOLUTION: 1)What does the Mean Value Theorem actually state about the function
f(x) =3sin(πx) on the interval [1/2, 3/2]? Find any values that are stated to exist by the theorem.
Algebra.Com
Question 1024354: 1)What does the Mean Value Theorem actually state about the function
f(x) =3sin(πx) on the interval [1/2, 3/2]? Find any values that are stated to exist by the theorem.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
\ =\ 3\sin(\pi x))
on [1/2, 3/2]
Since
\ =\ 3\pi\cos(\pi x))
The Mean Value Theorem says:
\ :\ 3\pi\cos(\pi c)\ =\ \frac{3\sin\left(\frac{3\pi}{2}\right)\ -\ 3\sin\left(\frac{\pi}{2}\right)}{\frac{3}{2}\ -\ \frac{1}{2}}\ =\ -3\ -\ 3\ =\ -6)
Solve
\ =\ -6)
for 
Note: The two values of will be equidistant from 1 on the 
-axis.
John
My calculator said it, I believe it, that settles it
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