20.
1/1 points |
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SCalcET7 10.2.041.
Find the exact length of the curve.
Solution or Explanation
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21.
1/1 points |
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SCalcET7 10.2.042.MI.
Find the exact length of the curve.
x
=
e
t
+
e
−
t
,
y
= 5
−
2
t
,
0
≤
Solution or Explanation
Click to View Solution
u
(
t
) = sin
6
t
, cos
7
t
,
t
v
(
t
) =
t
, cos
7
t
, sin
6
t
,
u
(
t
)
·
v
(
t
) .
d
dt
u
(
t
) = sin
8
t
, cos
8
t
,
t
v
(
t
) =
t
, cos
8
t
, sin
8
t
,
u
(
t
)
×
v
(
t
) .
d
dt
x
=
8
+
3
t
2
,
y
=
6
+
2
t
3
,
0
≤
t
≤
5
t
≤
2

22.
2/2 points |
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SCalcET7 10.2.051.
Find the distance traveled by a particle with position (
x
,
y
) as
t
varies in the given time interval.
What is the length of the curve?
≤
2
π