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January 28th, 2009, 05:30 PM   #1
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Help with the Intermediate Value Theorem

"Use the Intermediate Value Theorem to show that there is a solution to the equation in the specified domain:

tan(x) = 4x-1 on (0, pi/4)
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January 28th, 2009, 09:55 PM   #2
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Re: Help with the Intermediate Value Theorem

To see how the IVT applies here, define:
g(x) = tan(x) - 4x + 1
If x is a root of g(x), then it will be a solution to the equality you give. Evaluate g(x) at the boundaries of the region, and you will see one is negative, the other positive.
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