MAT230 Study Guide - Final Guide: Multiple Integral, Cylindrical Coordinate System, Parallelogram
Document Summary
Instructions: you have the entire class session to complete the exam. Only scienti c non- calculus enabled calculators will be allowed. Do not approximate your answers unless explicitly told to do so. I. e- answer 2 not 1. 41 you must show all work to receive credit. Incoherent or illegible answers will count as incomplete: (5 pts) find the exact value of the double integral: 1 x y y x dydx: (5 pts) find the value of the following integral. Exam iii: (10 pts) find the value of the following integral: where e = {(x, y, z)|1 y 4, y z 4, 0 x z}. Exam iii: (10 pts) a parallelogram r is bounded by the lines y = x + 1, y = x + 4, y = 2x + 1, and y = 2x + 9. Change the coordinates to u and v so that.
