MATH114 Study Guide - Final Guide: Mean Value Theorem, Riemann Sum

• School: University of Alberta
• Department: Mathematics
• Course: MATH114
• Professor: All

Document Summary

Math 113/114 final exam sample problems: find dy/dx. 2x x x 2 (e) lim x (b) lim x 0. 1 cos x x sin 2x (c) lim x 0 sin 3x tan 2x. 3x2 x + 4 (f) lim x dx (b) z x sin(1 2x2) dx. 0 |3x 1| dx (a) z 1 x2 3x2 (d) z 2 (g) z (k) z etan 7x cos2 7x. 3 + 7 tan 5x sec2 5x dx. 0 |2x2 + x 1| dx (e) z 1 (h) z (l) z (1 + ecos x) sin x dx x3 sin4 x. 2 (f) z sin cos (2 + cos2 )2 d (i) z x5px3 + 1 dx (j) z x 2 x dx (m) z e. Sketch the graph and indicate the bounded region: a right circular cylinder is inscribed in a cone with height 20 cm and base radius 5 cm.