MATH 152 Final: MATH152 MATH152 FinalC

• School: Simon Fraser University
• Department: Mathematics
• Course: MATH 152
• Professor: All

Document Summary

Some useful formulas n n n i = n(n + 1) c = cn , Xi=1 cos (2 ) = 1 2 sin2 = 2 cos2 1 = cos2 sin2 . 2 (cid:21)2 sin (2 ) = 2 cos sin tan (2 ) = Suppose that |f (x)| k for x in the interval [a, b]. If et and em are the errors in the trapezoidal and midpoint rules then. Suppose that |f (4)(x)| k for all x in the interval [a, b]. If es is the error in using simpson"s rule, then. If then the remainder of the taylor series satis es the inequality (cid:12)(cid:12)(cid:12) f (n+1)(x)(cid:12)(cid:12)(cid:12) m for |x a| d. M (n + 1)!|x a|n+1 for |x a| d. Math 152 - d100 and d300: compute the following integrals. [4] (a) z ex (ex 2)(e2x + 1) dx.