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 3 254. [T] A mass hanging from a vertical spring is in simple harmonic motion as given by the following position function. Where t is measured in seconds and s is in inches: s ( t ) = − 3 cos ( π t + π 4 ) . a. Determine the position of the spring at t = 1.5 s b. Find the velocity of the spring at t = 1.5 s.
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 3 254. [T] A mass hanging from a vertical spring is in simple harmonic motion as given by the following position function. Where t is measured in seconds and s is in inches: s ( t ) = − 3 cos ( π t + π 4 ) . a. Determine the position of the spring at t = 1.5 s b. Find the velocity of the spring at t = 1.5 s.
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
254. [T] A mass hanging from a vertical spring is in simple harmonic motion as given by the following position function. Where t is measured in seconds and s is in inches:
s
(
t
)
=
−
3
cos
(
π
t
+
π
4
)
.
a. Determine the position of the spring at t = 1.5 s
Consider the function. f(x) = x3 − 6x2 + 4
a. Find f '(x).
b. Find f ''(x).
c. Find f ''(−6) and f ''(8).
d. Determine whether the function f(x) is concave up or concave down at x = −6 and x = 8
g(t)
8
g'(t) =
f(x)=(1)/(x), shifted up 2 units, 5 units up and vertically stretched 7 units
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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