If a ton K holds K000 Aallons of watev, the dan k after t minutes 9s giren by V= d000 (! which of the felloAng 1s cqual rate, ingallans par minule Rs dvaiufing which drefins Fram the botton of - for 0LEL 40. 40 atwhich the water from the tan k after 30 minutes?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time
Section: Chapter Questions
Problem 31A
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If a ton K holds K000 Aallons of watev,
the dan k after t minutes 9s giren by V= d000 (!
which of the felloAng 1s cqual rate, ingallans par minule
Rs dvaiufing
which drefins Fram the botton of
- for 0LEL 40.
40
atwhich the water
from the tan k after 30 minutes?
Transcribed Image Text:If a ton K holds K000 Aallons of watev, the dan k after t minutes 9s giren by V= d000 (! which of the felloAng 1s cqual rate, ingallans par minule Rs dvaiufing which drefins Fram the botton of - for 0LEL 40. 40 atwhich the water from the tan k after 30 minutes?
Expert Solution
Step 1

The capacity of the water tank = 8000 gallons

 

The volume of water which remain in tank after t minutes, and differentiate with respect to the time t:

Calculus homework question answer, step 1, image 1

Step 2

The negative sign represents the amount of water is decreasing in the tank.

 

The rate at which water is draining from the tank after 30 minutes, substitute t = 30min in dV/dt:

Calculus homework question answer, step 2, image 1

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