θ

Is the value consistent with your answer to part (b)?

(b) When is this rate of change equal to 0?
θ
=
(c) If
W
=
30
lb and
μ
=
0.6
, draw the graph of
F
as a function of
Use the graph to locate the value of
θ
for which
dF
/
d
θ
= 0. (Round your answer to two decimal places.)
θ
.

2/21/14, 2:39 PM
Chapter 3.3 HW
Page 5 of 7
Solution or Explanation
Click to View Solution
7.
3/3 points |
Previous Answers
SCalcET7 3.3.510.XP.
Find an equation of the tangent line to the curve at the given point.
y
=
=
,
P
= (0,
4
)
4
sin
x
+ cos
lim
t
→
0
(sin
8
t
)
Solution or Explanation
Click to View Solution
8.
3/3 points |
Previous Answers
SCalcET7 3.3.515.XP.
Find the limit for the given function.
Solution or Explanation
Click to View Solution
Yes, the value from the graph is consistent with the value in part (b).
No, the value from the graph is not consistent with the value in part (b).
y
=
,
P
= (0,
4
)
4
sin
x
+ cos
lim
t
→
0
(sin
8
t
)
x
2
t
2

2/21/14, 2:39 PM
Chapter 3.3 HW
Page 6 of 7
9.
1/1 points |
Previous Answers
SCalcET7 3.3.054.
A semicircle with diameter
PQ
sits on an isosceles triangle
PQR
to form a region shaped like a two-dimensional ice-cream cone, as shown in
the figure. If
A
(
θ
) is the area of the semicircle and
B
(
θ
) is the area of the triangle, find
lim
θ
→
0
+
A
(
θ
)
B
(
θ
)
y
= sec
θ
tan
y
= sec
θ
tan
θ
y'
= sec
θ
(sec
2
θ
) + tan
θ
(sec
θ
tan
θ
) = sec
θ
(sec
2
θ
+ tan
2
θ
).
1 + tan
2
θ
= sec
sec
θ
(1 + 2 tan
2
θ
) or sec
θ
(2 sec
2
θ
−
1).
0
Solution or Explanation
Click to View Solution
10.
1/1 points |
Previous Answers
Solution or Explanation
Using the identity
we can write
alternative forms of the answer as
11.
1/1 points |
Previous Answers
SCalcET7 3.3.015.
Differentiate.
f '
(
x
) =
Solution or Explanation
Click to View Solution
.
lim
θ
→
0
+
A
(
θ
)
B
(
θ
)
y
= sec
θ
tan
y
= sec
θ
tan
θ
y'
= sec
θ
(sec
2
θ
) + tan
θ
(sec
θ
tan
θ
) = sec
θ
(sec
2
θ
+ tan
2
θ
).
1 + tan
2
θ
= sec
sec
θ
(1 + 2 tan
2
θ
) or sec
θ
(2 sec
2
θ
−
1).
θ
2
θ
,