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Find (dy/dx) of x^3 - x + y^3 = 6 + 2y^2 in terms of x and y

In order to differentiate this expression, we need to use implicit differentiation. An expression in the form y = f(x), where f(x) means "a function of x", is called an explicit equation and nee...

Answered by • Maths tutor

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Explain the process of phagocytosis

The first stage of phagocytosis is named chemotaxis. This stage involves the migration of the phagocyte (a type of lymphocyte/ white blood cell) towards a pathogen. This occurs due to foreign antigens (no...

Answered by Grace L. • Biology tutor

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Prove, by induction, that 4^(n+1) + 5^(2n-1) is always divisible by 21

Firstly when proving something by induction, we always show that the base case works, i.e. we plug in n=1. In this case we get 4² + 5¹ =21, which is divisible by 2...

Answered by Graeme S. • Further Mathematics tutor

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Discuss evolutionary explanations of eating behaviour (6 marks)

Eating habits and food preferences are said to have come from our ancestors and adapted in our environment of evolutionary adaptation (EEA). Are ancestors were hunter-gatherers who were constantly battlin...

Answered by • Psychology tutor

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A 80kg man is hanging from two 1.5m ropes that lie at 60 degrees from the horizontal. What is the tension in each rope required to prevent the man from dropping?

The man is 80kg so the downward force exerted by his weight is 80g (where g is the force of gravity equalling 9.8 Newtons (2dp)). Therefore the upward force exerted by each rope must equal 40g. Using tri...

Answered by Dominic D. • Physics tutor

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