MATH 1151 Study Guide - Midterm Guide: Riemann Sum, Electrical Contacts, Mean Value Theorem

• School: Ohio State University
• Department: Mathematics
• Course: MATH 1151
• Professor: All

Document Summary

Show all work in problems 1 and 4 . Incorrect answers with work shown may receive partial credit, but unsubstantiated correct answers may receive no credit. You don" t have to show work in problems 2 and 3. Give exact answers unless asked to do otherwise. The exam consists of 4 problems starting on page 2 and ending on page 8. Pda" s , laptops, and cell phones are prohibited. Make sure your exam is not missing any pages before you start. 1. (46 pts) show your work! (i)( 10 pts) evaluate the limit . You may use l" hospital" s rule. cos x- 1+ x2 x2 x 0 lim (ii)( 12 pts) The limit of riemann sums for a function f on the interval[1, 5] is given by on[1, 5]. lim 0 n k=1. 2 xk (a) identify f and express the limit as a definite integral. (b) evaluate the limit of riemann sums.