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The Curve, C, has equation: x^2 - 3xy - 4y^2 +64 =0 Find dy/dx in terms of x and y. [Taken from Edexcel C4 2015 Q6a]

The question asks us to find dy/dx, in terms of x and y. Here though it is not in the form of y=f(x), but a mixed form, which we will not be able to separate out. We will have to use Implicit differentiation...
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Answered by Dylan D. • Maths tutor
12104 Views

Simplify (2^2)^3

The laws of powers explain that it is possible to add powers together when a power is raised against another. Therefore the answer is as follows 2^(2+3) = 2^5
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Answered by Curtis O. • Maths tutor
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Factorise this equation: x^2+3x-10=0

The first stage is to calculate two numbers that multiply together to make the integer in the equation, in this example it's -10. The numbers are 5 and 2. Now these two number should both satisfy the signs (...
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Answered by Curtis O. • Maths tutor
4582 Views

How can one remember the function and the anatomy of the cardiac valves?

There are 4 cardiac (from the Greek 'καρδία', meaning 'heart') valves. Physiology (Function) - The pulmonary and aortic valves prevent the backflow of blood from the pulmonary artery and aorta into the ventr...
AH
Answered by Ariadne H. • Biology tutor
9589 Views

What is the difference between breathing and respiration?

It is understandable why there is confusion between the two terms as we use the term 'respiratory system' to refer to the lungs and associated structures, even though they are not directly involved in the pr...
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Answered by Ariadne H. • Biology tutor
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