Math 106 A Quiz 02 page 1 01/23/13 Name
1a. Suppose that f0(x) = 4/(x2
−2x+ 3) for some function f. According to “Theorem 3” what is the maximum possible
error if LHS(40) is used as an approximation to Z4
−1
f(x)dx? Show all formulas from Theorem 3 used in your answer.
1b. Suppose in fact that LHS(40)=100. What is the smallest that Z4
−1
f(x)dx can be?
2a. Suppose that the graph of g00(x) is as shown below for some function g. According to “Theorem 3” what is the
maximum possible error if MID(30) is used as an approximation to Z3
−2
g(x)dx? Show all formulas from Theorem 3 used in
your answer.
2b. Suppose in fact that MID(30)=200. What is the biggest that Z3
−2
g(x)dx can be?
