Create assignment, 57321, Homework 1, Jan 22 at 5:43 pm
1
This
printout
should
have
34
questions.
Multiplechoice questions may continue on
the next column or page – find all choices
before answering.
The due time is Central
time.
CalC2a01a
48:01, calculus3, multiple choice,
>
1 min,
normal.
001
A tank holds 1000 gallons of water, which
drains from the bottom of the tank in half an
hour. The values in the table
t
(min)
5
10
15
20
25
30
V
(gal)
659
441
230
159
18
0
show the volume,
V
(
t
), of water remaining in
the tank (in gallons) after
t
minutes.
If
P
is the point (15
, V
(15)) on the graph
of
V
as a function of time
t
, find the slope of
the secant line
PQ
when
Q
= (25
, V
(25)).
1.
slope =

21
.
2
correct
2.
slope =

42
.
9
3.
slope =

21
.
1
4.
slope =

7
.
1
5.
slope =

42
.
4
Explanation:
When
P
= (15
, V
(15))
,
Q
= (25
, V
(25))
the slope of the secant line
PQ
is given by
rise
run
=
V
(25)

V
(15)
25

15
.
From the table of values, therefore, we see
that
slope =
18

230
25

15
=

21
.
2
.
keywords: slope, table of values, secant line
CalC2a02b
48:01, calculus3, multiple choice,
<
1 min,
wordingvariable.
002
The position as a function of time
t
of a car
initially heading due north on IH35 is shown
in
2
4
6
2
4
time
position
List the values of
m
1
= average velocity on [3
,
4]
,
m
2
= average velocity on [4
,
6]
,
m
3
= instantaneous velocity at
t
= 4
,
m
4
= instantaneous velocity at
t
= 2
,
in increasing order.
1.
m
2
,
m
3
,
m
1
,
m
4
correct
2.
m
1
,
m
2
,
m
3
,
m
4
3.
m
2
,
m
1
,
m
4
,
m
3
4.
m
3
,
m
4
,
m
2
,
m
1
5.
m
3
,
m
1
,
m
2
,
m
4
6.
m
4
,
m
1
,
m
2
,
m
3
Explanation:
If
s
(
t
) denotes the position of the car at
time
t
, then the average velocity over the time