6/5/2019
hw11S3.4
3.
3/3 points |
Previous Answers
SCalcET8 3.4.504.XP.
Find the derivative of the function.
4.
1/2 points |
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SCalcET8 3.4.518.XP.
Find
Enhanced Feedback
Please try again using a combination of the Product Rule and the Chain Rule.
5.
3/3 points |
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SCalcET8 3.4.519.XP.
Find an equation of the tangent line to the curve at the given point.
y
=
e
α
x
sin(
β
x
)
y'
=
$$
eaxβcos
(
βx
)+
αsin
(
βx
)
eax
y''
=
$$
eαx
(
α
2
sin
(
βx
)+2
αβcos
(
βx
)−
β
2
sin
(
βx
))
y
= (1 +
3
x
)
11
,
(0, 1)

2/10

6/5/2019
hw11S3.4
6.
5/5 points |
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The length of some fish are modeled by a
von Bertalanffy
growth function. For Pacific halibut, this
function has the form
L
(
t
) = 200(1 – 0.956
e
–0.18
t
)
where
L(t)
is the length (in centimeters) of a fish
t
years old.
(a) Find the rate of change of the length as a function of time

3/10

(b) In this part, give you answer to the nearest unit. At what rate is the fish growing at age:

(c) When will the fish be growing at a rate of 6 cm/yr? (nearest unit)

6/5/2019
hw11S3.4
4/10
7.
9/9 points |
Previous Answers
The location of an object moving along the number line at time
t
seconds is given by
where
t
is assumed to be nonnegative.
(a) Calculate the limit; enter the number, infinity, infinity or DNE (does not exist):
.
(b) The average velocity on the time interval [pi/2,pi] is
$$80077π
.