Unformatted text preview: , 1]. 1b) Form the function f ( x ) = x 2 + x − 1 on the interval [0 , 1]. Find the equation for the secant line over the interval. 1c) Find where the above secant line intersects the xaxis. The solution you get using the quadratic formula is − 1+ √ 5 2 . How does your solution compare? Quiz 3b 20 min 1a) Use the Intermediate Value Theorem to show that the equation cosx = 1 2 has a solution in the interval [0 , π 2 ]. 1b) Form the function f ( x ) = cos x − 1 2 on the interval [0 , π 2 ]. Find the secant line over the interval. 1c) Find where the above secant line intersects the xaxis, and use that as an estimate of the solution to 1a). The true solution is 60 o or π 3 . How does this compare to the secant solution?...
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This note was uploaded on 03/22/2008 for the course M 408c taught by Professor Mcadam during the Fall '06 term at University of Texas.
 Fall '06
 McAdam
 Intermediate Value Theorem

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