Some problems relevant to math 2e midterm (spring 2016) As always - quizzes and homeworks are your best study materials! These questions are mainly to test yourself. two expressions for the double integral (cid:82)(cid:82) 1. (a) let d be the triangle bounded by the lines x = 1, y = 2 and 2x + y = 2. Give the ex yda as an iterated integral. (in other words, the expressions using the two orders of integration). Hint: change the order of integration. y = 0. Give the two expressions for the double integral(cid:82)(cid:82) (a) calculate(cid:82) 1 (b) calculate(cid:82) 1 (cid:82) z: evaluate(cid:82) 2, evalaute(cid:82) C xydx + ln(x)dy where c is the curve x = et, y = e t from 0 t 1: find the area enclosed by the curve x2 + xy + y2 = 1. Hint: use the substitution x = u + v x=y xyz dxdydz. (x2 + y2)2016dxdy.
