Math 2242 (Calculus IV) Graded Homework 2 KEY 1. (Partial Derivatives) (10 points each): (a) Let f : R2 R : (x, y) ex sin
2
(cos(xy) 4 3
x y 143 cos(ex sin y ). Does 2f 2f = ? xy yx
[Hint: Do NOT try and calculate the partial derivatives. Cite an appropri
MATH 2242 (CALCULUS IV) GRADED HOMEWORK 3 KEY
1. (Path integrals) (10 points each):
(3-
a Letf$,y,z :TaDdC11,2 ~9R22t19 t,2t3/2,t.Calculate fds.
y 2 3 c
(b) Let f(:c,y,z) : and c be the helical path C : [t0,t0] : t I> (cost, sint,t), Where
to > 0. Cal
MATH 2242: Takehome Test # 1 KEY
INSTRUCTIONS: You are not allowed to work with anybody else on this test. You may only use your brain, textbook, and
instructor when working this test (hopefully you only need the rst of those). You must show all your work
MATH 2242: Takehome Test # 2 KEY
INSTRUCTIONS: You are not allowed to work with anybody else on this test. You may only use your brain, textbook,
calculator, and instructor when working this test (hopefully you only need the rst of those). You must show a
MATH 2242 - MIDTERM STUDY GUIDE
Coverage: The test will cover the major ideas and themes from Chapters 1-2 and 4-6.
You should focus attention on the main ideas (i.e. denitions and major theorems), daily
homeworks, graded homework assignments, and the tak
MATH 2242: Graded Homework # 1 KEY
1. Let a = (1, 1), b = (2, -1), = -2, = 3. (a) Calculate a + b algebraically and geometrically. (b) Describe in words the vector b - a. ^ (c) Normalize the vector b (i.e find the vector b). (d) Find the orthogonal projec