MATH 1131Q- Midterm Exam Guide - Comprehensive Notes for the exam ( 297 pages long!)

b WeBWorK Spring MATX C webwork asu.edu MAT 267 Summer 2015/section 11.4/2/?user ckfreela&displayMode Math Jax&key Fplzcs8Bu13Zvw M, E /webwork2/Springer WeBWork Log Out Logged in as ckfreela MATHEMATICAL ASSOCIATION OF AMERICA webwork springer mat 267 summer 2015 section 1 MAIN MENU Homework Sets Section 11 Section 11.4: Problem 2 Problem 2 Password Email Prev Up Next Grades ln (3y) at the point (-3, 3, 4.451) Problems 1 pt) Find the equation of the tangent plane to the surface 2 Problem 1 Problem 2 Note: Your answer should be an expression of x and y e.g. "5x 2y 3" Problem 3 Problem 4 Problem 5 Preview Answers Submit Answers Problem 6 Problem 7 You have attempted this problem 0 times. Problem 8 You have unlimited attempts remaining. Display options Email instructor View equations as mages Math Jax Show saved answers Yes 8:37 AM Find The Equatio Sticky Notes 6/3/2015

Math 227 Exam 4- Page 7 of 8 Due: 12/01/2017 6. Evaluate ll. F . ids with F = (z-12 , 2zy , 2) and S: boundary of region enclosed on top by the plane z = 4 and below by the parabaloid z = z2+ Math 227 Exam 4-Page 8 of 8 Due: 12/01/2017 Bonus (no partial credit): It turns out that F-(-y , x , zy-vray satisfies ▽ × F*-x2 , 2ry , 2). (the field from problem 6) Use this fact, Stokes' Theorem, and properties of surface/line integrals to answer problem 6 without doing any computations.

Math 227 Due: 12/01/2017 Exam 4-Page 8 of 8 Bonus (no partial credit): It turns out that F = 《-v , z , zy- (the field from problem 6) Use this fact, Stokes' Theorem, and properties of surface/line integrals to yr* 》satisfies ▽ × F-6-2 , problem 6 without doing any computations.