# Ch4-2WS - Show that at least twice the marathoner was running at exactly 11 mph 6 Show that the equation x 4 3x 1 = 0 has exactly one solution in

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Mrs. Waldron BC Calculus Ch 4.2 Mean Value Theorem 1. Find exact solutions to the inequality: a) 2x 2 – 6 < 0 b) 3x 2 – 6 > 0 2. Find the local extrema, the intervals on which the function is increasing and the intervals on which the function is decreasing: ( ) 2 x f x = x - 1 3. Show that the MVT is satisfied on the interval [2,4] of the function: f(x) = ln (x – 1)

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4. Find the function with the given derivative whose graph passes through the given point: a) ( ) ( ) 3 4 1 f x = , P 1,2 4x b) ( ) ( ) f x = 2x + 1 - cos x, P 0,3 5. A marathoner ran the 26.2 mile NYC Marathon in 2.2 hours.
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Unformatted text preview: Show that at least twice the marathoner was running at exactly 11 mph. 6. Show that the equation x 4 + 3x + 1 = 0 has exactly one solution in the interval [-2,1]. 1979 AB 2 No Calculator A function f is defined by ( ) 2x f x = e-with domain 0 ≤ x ≤ 10 a) Find all values of x for which the graph of f is increasing and all values of x for which the graph is decreasing. b) Give the x- and y-coordinates of all absolute maximum and minimum points on the graph of f. Justify your answer....
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## This note was uploaded on 02/16/2012 for the course CALCULUS 0064 taught by Professor Waldron during the Fall '10 term at Broward College.

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Ch4-2WS - Show that at least twice the marathoner was running at exactly 11 mph 6 Show that the equation x 4 3x 1 = 0 has exactly one solution in

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