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 3 257. [T] The formula for the volume of a sphere is S = 4 3 π r 3 , where r (in feet) is the radius of the sphere. Suppose a spherical snowball in melting in the sun. a. Suppose r = 1 ( t + 1 ) 2 − 1 12 where t is time in minutes. Use the chain rule d S s t = d S d r ⋅ d r d t to find the rate at which the snowball is melting. b. Use a. to find the rate at which the volume is changing at t = 1 min.
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 3 257. [T] The formula for the volume of a sphere is S = 4 3 π r 3 , where r (in feet) is the radius of the sphere. Suppose a spherical snowball in melting in the sun. a. Suppose r = 1 ( t + 1 ) 2 − 1 12 where t is time in minutes. Use the chain rule d S s t = d S d r ⋅ d r d t to find the rate at which the snowball is melting. b. Use a. to find the rate at which the volume is changing at t = 1 min.
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
257. [T] The formula for the volume of a sphere is
S
=
4
3
π
r
3
, where r (in feet) is the radius of the sphere. Suppose a spherical snowball in melting in the sun.
a. Suppose
r
=
1
(
t
+
1
)
2
−
1
12
where t is time in minutes. Use the chain rule
d
S
s
t
=
d
S
d
r
⋅
d
r
d
t
to find the rate at which the snowball is melting.
b. Use a. to find the rate at which the volume is changing at t = 1 min.
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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