Math 1110
Homework 12
Name:
Due 12/1 or 12/2 in class
GRADES
Text exercises
/ 20
Pres probs
/ 20
Staple
/ 1
Please print out these pages. Write your answers to the “text exer-
cises” on separate paper and staple it to these pages. You should include
computational details. These problems will be assessed for completeness.
Always write neatly and legibly.
Please answer the “presentation problems” in the spaces provided.
Include full explanations and write your answers in complete, mathemat-
ically and grammatically correct sentences. Your answers will be assessed
for style and accuracy, and you will be given written feedback on these
problems.
Text exercises.
Please do the following problems from the book.
§
5.5 #2, 10, 11, 17, 18, 34, 35, 38, 56, 63, 68, 72, 75, 79
§
5.6 #2, 3, 8, 13, 20, 31, 50, 53, 58, 68, 73, 84, 89, 93, 99, 104, 107, 111, 112
Question 1.
Please solve the following two problems.
(a)
tan
3
x
4
sec
2
x
4
dx
.
Let
u
=
tan
x
4
, so that
du
=
sec
2
x
4
dx
4
.
Then
tan
3
x
4
sec
2
x
4
dx
=
4u
3
du
=
u
4
+
C
=
tan
4
x
4
+
C
, where
C
is an arbitrary
constant.