2/21/14, 2:40 PM
Chapter 3.4 HW
Current Score :
49 / 49
Due :
Thursday, February 6 2014 11:59 PM PST
1.
4/4 points |
Previous Answers
An object is moving back and forth on the
x
-axis according to the equation
x
(
t
) = 3sin(20
π
t
),
t> 0
, where
x(t)
is measured in cm and
t
in seconds. Give decimal answers below.
(a) How many complete back-and-forth motions (from the origin to the right, back to the origin, to
the left and finally back to the origin) does the object make in one second?
10
Chapter 3.4 HW (Homework)
ZHENG ZHOU
Math124Winter14, section G, Winter 2014
Instructor: Jonah Ostroff
WebAssign
The due date for this assignment is past.
Your work can be viewed below, but no changes can be made.

Page 1 of 9
2.
2/2 points |
Previous Answers
SCalcET7 3.4.001.
Write the composite function in the form
[Identify the inner function
and the outer
function
Find the derivative
dy
/
dx
f
(
g
(
x
)).
u
=
g
(
x
y
=
f
(
u
).]
y
=
1 +
7
x
(
g
(
x
),
f
(
u
)) =
.
Solution or Explanation
)
3
=
dy
dx
Let
u
=
g
(
x
) = 1 +
7
x
and
y
=
f
(
u
) =
. Then
=
=
u
−
2/3
(
7
) =
.
u
3
dy
dx
dy
du
du
dx
1
3
7
3
(1 +
7
x
)
2
3

(b) What is
t

(c) At the time found in part (b), what is the object's velocity?
0
0

(d) At the time found in part (b), what is the object's acceleration?

2/21/14, 2:40 PM
Chapter 3.4 HW
Page 2 of 9