The Fundamental Theorem Of Calculus Worksheet Page 8
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9Calculus Maximus
WS 4.3: The FTOC
x
17. Let
, where f is the function whose graph is given below.
g x
f t dt
0
(a) At what values of x do the local maximum and local minimum of g occur? Justify.
(b) Where does g attain its absolute maximum value?
(c) On what approximate intervals is g concave downward?
(d) Sketch the graph of g.
Page 8 of 9
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