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Differentiate y = x^3 +x^2 - 4x +5 with respects to x.

When differentiating, you want to use the formula ax^n differentiates to (an)x^(n-1), so for the example above, x^3 where a is 1, and n is 3, the differentiation is (13)x^(3-1) which results t...

Answered by Manojhan S. • Maths tutor

3907 Views

Solve the differential equation: e^(2y) * (dy/dx) + tan(x) = 0, given that y = 0 when x = 0. Give your answer in the form y = f(x).

This is a question taken from a core 4 paper and is a typical example of a differential equation question.

The first thing to notice about this equation is that it is "separable"...

Answered by Dominic D. • Maths tutor

11150 Views

Rearranging formulae

Rearrange 1/u + 1/v = 1/f

to make u the subject of the formula. Give your answer in its simplest form.

There are a number of ways to approach this problem.

Answered by Robert S. • Maths tutor

11116 Views

Discuss whether a reduction in taxation will always increase a country’s economic growth rate.

Answers should discuss role of different forms of taxation e.g., income tax, corporation tax, VAT.

Better answers will evaluate the potential limitations, and cases in which a reducation ...

Answered by Andrew L. • Economics tutor

4039 Views

Calculate the length of a 120m (as measured by the astronaut) spaceship travelling at 0.85c as measured by a stationary observer

The length of the spaceship of 120m was measured at rest relative to the spaceship so we will take that as the proper length, dennoted L_proper
We first calculate the Lorentz factor:
Ɣ...

Answered by Kerr M. • Physics tutor

3479 Views