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At t seconds, the temp. of the water is θ°C. The rate of increase of the temp. of the water at any time t is modelled by the D.E. dθ/dt=λ(120-θ), θ<=100 where λ is a pos. const. Given θ=20 at t=0, solve this D.E. to show that θ=120-100e^(-λt)

When solving any differential equation, the first method to consider is the seperation of variables. This is the simplest method and, conveniently, it works in this case. To seperate variables:1. Put all ...

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Answered by Edmond W. Maths tutor
8207 Views

What is a pathogen?

A pathogen is a microorganism that causes a disease. Pathogens spread communicable diseases meaning that they are transmitted person to person and are infectious.
Types of pathogens include bacteria,...

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Answered by Francesca D. Biology tutor
22527 Views

What are the functions of the cell membrane?

The cell membrane separates the intracellular and extracellular environments. The lipid bilayer only allows small polar molecules (such as O2 or CO2), small hydrophobic molecules (fatty acids, steroid hor...

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Answered by Francesca D. Biology tutor
7008 Views

How do I start my personal statement?

A catchy first line summarising your interest in your chosen course and what you feel you'll bring to it will grab the interest of the admissions team. Quotes can be a bit cheesy unless they are genuin...

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2949 Views

How do I get relevant clinical experience for a medical school application?

You can get relevant clinical experience for Medicine in many areas, including hospitals (check your local teaching hospitals for shadowing schemes or volunteering), general practice (write to practice...

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2550 Views

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