For the following exercises, use the information in the following table to find h ' ( a ) at the given value for a . x f ( x ) f ' ( x ) g ( x ) g ' ( x ) 0 2 5 0 2 1 1 -2 3 0 2 4 4 1 -1 3 3 -3 2 3 259. [T] The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by the function D ( t ) = 5 sin ( π 6 t − 7 π 6 ) + 8 , where t is the number of hours after midnight. Find the rate at which the depth is changing at 6 a.m.
For the following exercises, use the information in the following table to find h ' ( a ) at the given value for a . x f ( x ) f ' ( x ) g ( x ) g ' ( x ) 0 2 5 0 2 1 1 -2 3 0 2 4 4 1 -1 3 3 -3 2 3 259. [T] The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by the function D ( t ) = 5 sin ( π 6 t − 7 π 6 ) + 8 , where t is the number of hours after midnight. Find the rate at which the depth is changing at 6 a.m.
For the following exercises, use the information in the following table to find
h
'
(
a
)
at the given value for a.
x
f
(
x
)
f
'
(
x
)
g
(
x
)
g
'
(
x
)
0
2
5
0
2
1
1
-2
3
0
2
4
4
1
-1
3
3
-3
2
3
259. [T] The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by the function
D
(
t
)
=
5
sin
(
π
6
t
−
7
π
6
)
+
8
, where t is the number of hours after midnight. Find the rate at which the depth is changing at 6 a.m.
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY