MATH 1P97 Study Guide - Final Guide: Partial Derivative, The Thirteen Chairs, Minimax

• School: Brock University
• Department: Mathematics and Statistics
• Course: MATH 1P97
• Professor: All

Document Summary

Chapter 6: integration: section 6. 4: the fundamental theorem of calculus, section 6. 5: evaluating definite integrals, section 6. 6: area between two curves, section 6. 7: application of the definite to business and economics. Chapter 7: additional topics in integration: section 7. 3: numerical integration. Chapter 8: calculus of several variables: section 8. 1: functions of several variables, section 8. 2: partial derivatives, section 8. 3: maxima and minima of functions of several variable. Step 1: 83 62 + 12 1 (integrate) 83 62 + 12 1 (24 23 + 62 +| 12. = (2(2)4 2(2)3 + 6(2)2 2 +) (2( 1)4 2( 1)3 + 6( 1)2 ( 1) +) = 32 16 + 24 2 + (2 + 2 + 6 + 1 +) However, 12 + as 0 and 12 is not. Continuous at 0, so fundamental theorem does not apply. Fundamenatl theoram not work if function is discontinous. * current power goes up 1 + divided by that number.