MATH 1131Q Study Guide - Midterm Guide: Antiderivative, Ti-89 Series

• School: UConn
• Department: Mathematics
• Course: MATH 1131Q
• Professor: All

Document Summary

Read this first: read the questions and instructions carefully, the available points for each problem are given in brackets, you must show your work to obtain full credit (and to possibly receive partial credit). Correct answers with no justi cation will not receive credit: make sure your answers are clearly indicated, and cross out any work you do not want graded, do not leave any blanks! Math 1131q: let f (x) = x + 3x2 + 2. Approximate the area under the graph y = f (x) over [0, 3] using three subintervals and midpoints (m3). 0 x + 3x2 + 2) dx to nd the exact area under y = f (x) over [0, 3]. Find the absolute maximum and minimum values of f (x) = x2ex over the interval [ 4, 1]. Find the intervals where f (x) = x4 4x3 18x2 + 10 is concave up and concave down, and identify any points of in ection.