ws27 - WORKSHEET 27 - Fall 1995 1. Below, the graph of f...

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WORKSHEET 27 - Fall 1995 1. Below, the graph of f ( x )= x 2 is given. The line below the graph is the tangent line at x = 1. The lines above the graph connect the points (0 , 0), (1 , 1), and (2 , 4). 1 2 3 4 12 a) Find the area bounded by the tangent line, the x -axis, and the line x =2. b) Find the area bounded by the two segments above the graph, the x -axis, and the line x =0 . the graph. c) Use your answers to a) and b) to venture a guess as to the area between the graph of f and the x -axis lying over the interval [0 , 2]. d) Find a function g such that g 0 = f .Wh a ti s g (2) g (0)? How close is this to your guess in part c)? Creepy, eh? There are several functions having x 2 as a derivative. What if you had chosen another? 2. Let f be a continuous function with f ( x ) > 0 for all x .Le t A be the function such that A ( x )equa lsthe area between the graph of f and the
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This note was uploaded on 04/11/2011 for the course MATH 1400 taught by Professor Grether during the Spring '08 term at North Texas.

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ws27 - WORKSHEET 27 - Fall 1995 1. Below, the graph of f...

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