1. The rectangular parallelepiped dimensions at a certain instant are 2.5, 3.2 and 5.1 meters, and they are increasing at the rates of 2.25, 3.3 and 4.6 m/s, respectively. At what rate is the volume increasing? a. 161.5 m/s c. 151.6 m/s b. 116.5 m/s d. 115.6 m/s 2. A vertical tank having a radius of R and an altitude of 10 m is filled with water at a rate of 1 m3/min. How fast is the surface rising in the tank? а. с. 2AR2 10 b. d.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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1. The rectangular parallelepiped dimensions at a certain instant are 2.5, 3.2 and 5.1 meters,
and they are increasing at the rates of 2.25, 3.3 and 4.6 m/s, respectively. At what rate is the
volume increasing?
a. 161.5 m/s
c. 151.6 m/s
b. 116.5 m/s
d. 115.6 m/s
2. A vertical tank having a radius of R and an altitude of 10 m is filled with water at a rate of
1 m3/min. How fast is the surface rising in the tank?
а.
1
C.
2AR2
10
b.
TR2
2
d.
TR2
Transcribed Image Text:1. The rectangular parallelepiped dimensions at a certain instant are 2.5, 3.2 and 5.1 meters, and they are increasing at the rates of 2.25, 3.3 and 4.6 m/s, respectively. At what rate is the volume increasing? a. 161.5 m/s c. 151.6 m/s b. 116.5 m/s d. 115.6 m/s 2. A vertical tank having a radius of R and an altitude of 10 m is filled with water at a rate of 1 m3/min. How fast is the surface rising in the tank? а. 1 C. 2AR2 10 b. TR2 2 d. TR2
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