My Math Forum Help with the Intermediate Value Theorem

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 January 28th, 2009, 05:30 PM #1 Newbie   Joined: Jan 2009 Posts: 1 Thanks: 0 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)
 January 28th, 2009, 09:55 PM #2 Senior Member   Joined: Jan 2009 From: Japan Posts: 192 Thanks: 0 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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