Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

An oil tanker runs aground and spills oil into the ocean. The crew were unable to measure how much oil was lost, but were able

image text in transcribed
image text in transcribed
An oil tanker runs aground and spills oil into the ocean. The crew were unable to measure how much oil was lost, but were able to measure the change in the depth in of oil in the tank with respect to time as dh_ 3 E _ _W h. 17' meters per hour. Hopefully you recognise this sort of differential equation by now. Solve this differential equation using the condition that the initial height is 27. (Meaning that when t = U, h. = 27.} hi: @. According to this equation; the tanker will leak oil until the height remaining in the tank is @ D meters. This will occurafter @ a hours {to the nearest hour). Suppose the oil leak was stopped after 32 hours. Find the height of the oil remaining in the tanker. Height remaining in the tanker = Q B {to the nearest metre). Sometimes the range of validity of a differential equation must be considered. For example; according to this equation, 400 1p" 10 3 the amount of oil in the tanker after hours goes back up to @ D (to the nearest metre)

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Calculus Single Variable

Authors: Deborah Hughes Hallett, Andrew M Gleason, William G McCallum, David O Lomen, David Lovelock, Jeff Tecosky Feldman, Thomas W Tucker, Daniel E Flath, Jo

5th Edition

0470461594, 9780470461594

More Books

Students also viewed these Mathematics questions

Question

What is the main purpose of international accounting standards?

Answered: 1 week ago