Calculus I
Calculus: Early Transcendental Functions
, 4th ed., by Ron Larson, Robert Hostetler, and
Bruce H. Edwards (Boston: Houghton Mifflin, 2007; ISBN-10: 0-618-60624-6).
Written Assignment 5
The written assignment draws on even-numbered exercises from the textbook.
Answer all assigned exercises, and show all work.
Section
Exercises
5.1
6, 10, 12, 32, 38, 54, 56, 70, 74, 80
5.2
2, 10, 16
5.3
6, 28, 44
5.4
10, 14, 18, 28, 32, 38, 40
5.5
14, 30, 52, 56, 62, 88, 92, 102, 106, 110
5.7
6, 8, 20, 30, 54
Section 5.1
6 Find Differential equation & check by differentiation
dr / dø = π
r = πø + c
check:
r = πø + c
(d / dø) (r) = (d / dø) (πø +c)
dr / dø = π
10 Rewrite integrate and simplify
ƒ(1 / x
2
)dx
rewrite: ƒx
-2
dx
Integrate: x
-1
/ -1 +c
Simplify:
-(1/x) +c
12.
ƒx(x
2
+3) dx (multiply it out)
rewrite: ƒ(x
3
+3x) dx
Integrate: (x
4
/ 4) +(3x
2
/ 2) + c
Simplify: (x
2
/ 4) +(x
2
+ 6) + c