MATH 265 Final: MATH 265 Iowa State Final2013

• School: Iowa State University
• Department: Mathematics
• Course: MATH 265
• Professor: All

Document Summary

This test is closed book and closed notes. A (graphing) calculator is allowed for this test but cannot also be a communication device (i. e. , your cellphones or tablets are not calculators). Answer each question completely using exact values unless otherwise indicated. Show your work (legibly); answers without work and/or justi cations will not receive credit. Place your nal answer in the provided box. Each problem is worth 10 points for a total of 80 points. Do not begin this test until instructed to start: find the arc length of the curve r(t) = (cid:28)e2t, 2tet 2et + 17, 3 t3(cid:29), for 0 6 t 6 3. r (t) = h2e2t, 2et + 2tet 2et, t2i = h2e2t, 2tet, t2i. 0 q(cid:0)2e2t + t2(cid:1)2 dt (2e2t + t2) dt. = e6 + 8: the surfaces xz4 x3y2 + 2yz = 2 and 3x2z yz3 x2y2 = 1 both pass through the point (1, 1, 1).