Math 1210
Extra Credit for Quiz 9
March 28th, 2014
This is exercise will count as extra credit in Quiz 9 and it is due on Friday,
March 28th in class. Please print this sheet and write your answers in the
space provided.
Name:
UID:
Rx
1. (15 points) Consider the function F (x) = 0 f (t) dt over the interval [0, 10], where the
function f (t) is given in the following figure.
Figure 1: Graph of f (t).
(i) (4 points) At which values of x inside the interval [0, 10] do the local maxima and
minima of F (x) occur.
(ii) (4 points) Where does F (x) attain its absolute maximum and absolute minimum?
(iii) (4 points) On what intervals is F (x) concave up (resp. down)?
(iv) (3 points) Sketch a graph of F (x) in the following figure.
Figure 2: Sketch a graph of F (x) HERE.
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