w'
(1) does not exist because
f '
(3) does not exist.
w'
(1) does not exist because
g'
(2) does not exist.

12.
1/1 points |
Previous Answers
SCalcET7 3.4.077.
Find the
85th
derivative of
13.
1/1 points |
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SCalcET7 3.4.079.
The displacement of a particle on a vibrating string is given by the equation
where
s
is measured in centimeters and
t
in seconds. Find the velocity of the particle after
t
seconds.
y
= cos
3
x
.
f
(85)
(
x
) =
$$−385
sin
(3
x
)
s
(
t
) =
9
+
sin(
9
π
t
)
1
5
v
(
t
) =
$$9π5
cos
(9π
t
)
cm/s

14.
2/2 points |
Previous Answers
SCalcET7 3.4.080.
If the equation of motion of a particle is given by
the particle is said to undergo
simple harmonic motion
.
(a) Find the velocity of the particle at time
t
.
(b) When is the velocity 0? (Use
n
as the arbitrary integer.)

15.
2/2 points |
Previous Answers
SCalcET7 3.4.081.
A Cepheid variable star is a star whose brightness alternately increases and decreases. For a certain star, the interval between times of
maximum brightness is
6.1
days. The average brightness of this star is
4.0
and its brightness changes by
±
0.55
. In view of these data, the
brightness of the star at time
t
, where
t