Question

Oil is being pumped continuously from a certain oil well at a rate proportional to the amount of oil left in the well; that is, dy/dt = ky, where y is the amount of oil left in the well at any time t. Initially there were 3,500,000 gallons of oil in the well, and 5 years later there were 750,000 gallons remaining. Write an equation for y, the amount of oil remaining in the well at any time t.

Name: Oil is being pumped continuously from a certain oil well at a rate proportional to the amount of oil left in the well; that is, dy/dt = ky, where y is the amount of oil left in the well at any time t. Initially there were 3,500,000 gallons of oil in the well, and 5 years later there were 750,000 gallons remaining. Write an equation for y, the amount of oil remaining in the well at any time t.
Uploaded: 2022-03-30T20:13:37-08:00
Duration: 2 min 33 s
Channel: Ishana K
Description: Oil is being pumped continuously from a certain oil well at a rate proportional to the amount of oil left in the well; that is, dy/dt = ky, where y is the amount of oil left in the well at any time t. Initially there were 3,500,000 gallons of oil in the well, and 5 years later there were 750,000 gallons remaining. Write an equation for y, the amount of oil remaining in the well at any time t.

          Oil is being pumped continuously from a certain oil well at a rate proportional to the amount of oil left in the well; that is, dy/dt = ky, where y is the amount of oil left in the well at any time t. Initially there were 3,500,000 gallons of oil in the well, and 5 years later there were 750,000 gallons remaining. Write an equation for y, the amount of oil remaining in the well at any time t.

Oil is being pumped continuously from a certain oil well at a rate proportional to the amount of oil left in the well; that is, dy/dt = ky, where y is the amount of oil left in the well at any time t. Initially there were 3,500,000 gallons of oil in the well, and 5 years later there were 750,000 gallons remaining. Write an equation for y, the amount of oil remaining in the well at any time t.

Added by Concepci-N C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Ishana K

03/30/2022

Step 1

Step 1:** Given that the rate of oil being pumped from the well is proportional to the amount of oil left in the well, we have the differential equation: \[\frac{dy}{dt} = ky\] ** Show more…

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Oil is being pumped continuously from a certain oil well at a rate proportional to the amount of oil left in the well; that is, dy/dt = ky, where y is the amount of oil left in the well at any time t. Initially there were 3,500,000 gallons of oil in the well, and 5 years later there were 750,000 gallons remaining. Write an equation for y, the amount of oil remaining in the well at any time t.