Math 106 A and B ←− circle your section Quiz 03 page 1 01/27/12 Name
1. Consider Z2.8
2.2
sin(3x)dx and the two approximations LHS(25) and MID(25) of this integral. Use appropriate graphs
on your calculator to estimate K1and K2to just two correct digits in the following:
1A: What is value of K1you should use in “theorem 3” to find an error bound for LHS(25)?
1B: What is that error bound in (1A)? (to five digits)? Show the formula you use in your work.
1C: What is value of K2you should use in that same theorem to find an error bound for MID(25)?
1D: What is that error bound in (1C)? Again, show the formula as part of your work.
2. Set up the integral which represents the arc length of cos(1/x) on the interval [0.5, 1]. (You do not have to evaluate it).