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Homework 12/2
Fall 2010
1. The function
f
(
x
) = 4

x
2
measures weight in pounds (lbs) as a function of position
x
in
feet. DeFne an accumulation function
1
T
(
a
) =
i
a
0
f
(
x
)
dx
Compute each of the following. Be sure to give correct units on each answer.
(a)
T
′
(1)
(b)
T
′
(
x
)
(c)
T
(
x
)
(d)
T
(1)
2. The acceleration of an object is given by 3 cos
t
m/s
2
, with
t
in seconds. DeFne an accumulation
function
2
v
(
x
) =
i
x
0
3 cos
t dt
Compute each of the following. Be sure to give correct units on each answer.
(a)
v
′
(

2)
(b)
v
′
(
x
)
(c)
v
(
x
)
(d)
v
(

2)
3. If
F
(
x
) =
i
x
0
(2
e
u

√
u
)
du
, compute:
(a)
F
′
(2)
(b)
F
′
(
x
)
(c)
F
(
x
)
(d)
F
(2)
1
For those who are interested,
f
actually measures the weight of a load distributed across a beam sticking out
from a wall.
T
is the resulting torque at the wall attachment point.
2
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This note was uploaded on 10/11/2011 for the course MATH 170 taught by Professor Staff during the Spring '08 term at Boise State.
 Spring '08
 STAFF
 Math, Calculus

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