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N = 2a + b. a is a 2 digit square number, b is a 2 digit cube number. What is the smallest possible value of N?

First, the smallest values of a and b must be found and then substituted into the equation for N. To find a. A square number is a number that is the result of multiplying and number by itself . Eg 2 squared ...
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Answered by Oliver G. • Maths tutor
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Work out the value of 125 to the power of -2/3.

We want to find 125 -2/3 . To do this, we will need to use lots of power rules that we have learnt. Firstly, when we put a power to another power, we multiply the two powers. For example, (2 3 ) 4 (2 to the ...
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Answered by Joe R. • Maths tutor
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What is the difference between an allele and a gene?

A gene is a section of DNA coding for a specific protein. This protein will perform a certain function within the organism. You interit two forms of each gene, one from each parent. These are known as the al...
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Answered by Yanina P. • Biology tutor
5556 Views

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 of ...
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Answered by Edmond W. • Maths tutor
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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, fungi, ...
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Answered by Francesca D. • Biology tutor
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