. Find the rate of change of the volume V of a cylinder with respect to radius if the height is equal to the radius. dv V=²h = (rh)r ² dr = 2 phr Match the descriptions (i)-(iii) with the intervals (a)-(c). SC 150-100 2-2 S 100 Distance (km) 30-2 = 0.5-0 C 0 50 (a) [0, 0.5] =G (i) Velocity increasing a 100 150 che (ii) Velocity decreasing C (b) [2.5, 3] =100 100 50 -C (iii) Velocity negative b (c) [1.5, 2] = -100 150- 100 50 ✓ 0.5 1.0 1.5 2.0 2.5 3.0 50-100 2-1.5 -t (h) = -1
. Find the rate of change of the volume V of a cylinder with respect to radius if the height is equal to the radius. dv V=²h = (rh)r ² dr = 2 phr Match the descriptions (i)-(iii) with the intervals (a)-(c). SC 150-100 2-2 S 100 Distance (km) 30-2 = 0.5-0 C 0 50 (a) [0, 0.5] =G (i) Velocity increasing a 100 150 che (ii) Velocity decreasing C (b) [2.5, 3] =100 100 50 -C (iii) Velocity negative b (c) [1.5, 2] = -100 150- 100 50 ✓ 0.5 1.0 1.5 2.0 2.5 3.0 50-100 2-1.5 -t (h) = -1
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 54CR: Find the average rate of change for the following on the given interval. Then find the instantaneous...
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![. Find the rate of change of the volume V of a cylinder with respect to radius if the height is equal to the
radius.
V=²h
dv
= (rh)r ²
dr
= 2 phr
Match the descriptions (i)-(iii) with the intervals (a)-(c).
SC
100
150-100
2-2 S
C
0 50
(a) [0, 0.5] =
0.5-0
Distance (km)
(i) Velocity increasing a
150-
(ii) Velocity decreasing C
100 150ST
(b) [2.5, 3] =100
100
n
-C
100 50
(iii) Velocity negative b
(c) [1.5, 2]
= -100
50
-t (h)
0.5 1.0 1.5 2.0 2.5 3.0
50-100
2-1.5
=-1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2a6b151-1359-4afc-a21d-7e7a40bc0eeb%2Fefc049a8-50eb-44d1-b1d6-a109d3952965%2Fkngua26_processed.jpeg&w=3840&q=75)
Transcribed Image Text:. Find the rate of change of the volume V of a cylinder with respect to radius if the height is equal to the
radius.
V=²h
dv
= (rh)r ²
dr
= 2 phr
Match the descriptions (i)-(iii) with the intervals (a)-(c).
SC
100
150-100
2-2 S
C
0 50
(a) [0, 0.5] =
0.5-0
Distance (km)
(i) Velocity increasing a
150-
(ii) Velocity decreasing C
100 150ST
(b) [2.5, 3] =100
100
n
-C
100 50
(iii) Velocity negative b
(c) [1.5, 2]
= -100
50
-t (h)
0.5 1.0 1.5 2.0 2.5 3.0
50-100
2-1.5
=-1
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