MAC1105 Study Guide - Quiz Guide: Natural Logarithm, Natural Number, Interest

• School: Miami Dade College
• Department: Mathematics: Calculus & Pre-Calculus
• Course: MAC1105
• Professor: Montañez

Document Summary

Provide a generalization to each of the key terms listed in this section. Let f be any polynomial function with a leading coe cient of 1, which would note the following equation: f (x) = anxn + an 1xn 1 + + a1x + a0. M ax {1, |a0| , |a1| + + |an 1|} 1 + m ax {|a0| , |a1| + + |an 1|} M any p ossible zero of f m. = q (x) + r (x) g (x) (g (x))(cid:18) f (x) g (x)(cid:19) = (g (x))(cid:18)q (x) + r (x) g (x)(cid:19) f (x) = q (x) g (x) + r (x) Continuously compounding: re = (cid:16)1 + r n(cid:17)n. Initial value a : base a : p ositive real n umber (a > 0) a 6= 1. All real n umbers a : growth f actor f (0) = ca0 = c (1) = c.