Math 117
Fall, 2009
Solutions to HW #7
Section 1.6, exercises #14, 24, 26, 28
#14 The functions we are considering are:
I:y=
x2 1
x2 + 1
x 1
; II : y = 2
; III : y = 2
2+1
x
x +1
x
1
(a) Horizontal asymptote of y = 1 : Both II and III have this. (The lead
Math 117
Fall, 2009
Solutions to HW #1
Exercises: Section 1.1, #1, 3, 6, 10, 12, 34
1. We are told that the statement P = f (t) means the population of the
city in question equals P million; t years after 1970. Therefore the statement
12 = f (35) means th
Math 117
Fall, 2009
Solutions to HW #4
Section 1.3, problems #24, 38, 40, 42, 52. Section 1.4, do problems
3, 4, 5, 14, 16.
Section 1.3,
#24. The graph we are given looks like:
y
x
We can see that there are dierent x values that yield the same y value. In
Math 117
Fall, 2009
Solutions to HW #5
Section 1.4: exercises #26, 30, 36, section 1.5: exercises # 8, 12,
20
Section 1.4:
t
#26. We are given the function P = 174 (0:9) and we want to write it in
kt
the form Q0 e : Since the given function takes the valu
Math 117
Fall, 2009
Solutions to HW #6
Section 1.5, #18, 22, 28, 44, section 1.6, #2, 3, 4, 5, 6, 12
Section 1.5, #18 Function (b) is 2 cos t; so its graph is simply that of cos t;
expanded vertically by a factor of 2; so that is the graph labelled f:
Fun
Math 117
Fall, 2009
Solutions to HW #3
(5th ed.) Section 1.2, #20, 22, 32. Section 1.3, #2, 8, 10, 38
Section 1.2, #20
a. Let N (t) denote the number of people who have tried the product by
time t: (Note: this is not the number of people who are trying it
Math 117
Fall, 2009
Solutions to HW #2
(5th edition): Section 1.1, problems 16, 18, 26. Section 1.2, problems 14, 15, 16
Section 1.1
#16. We are given the data from a linear function:
x
y
5:2
27:8
5:3
29:2
5:4
30:6
5:5
32:0
5:6
33:4
In other words, we hav
Math 117
Fall, 2009
Solutions to Practice Test #1
This practice test is intended to give you a general idea of the sort of problems
you might be asked to do on the rst test. Of course, not every type of problem
you might be asked is represented here, nor
Note on Series and
Tests for Convergence
This material is all in the textbook, but it might be handy to have a
copy for easy reference and emphasis. Our topic is convergence of innite
series so we review what an innite series is, and what it means for suc