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
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 pa
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 o
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 (hop
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), da
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