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Find the stationary points of y=x^3 + 3x^2 - 9x - 4

The stationary points of the function are the points at which the gradient is equal to 0. (If you draw out a standard y=x^3 graph, you can see the gradient is 0 at the points where the graph changes directio...
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Jo wants to work out the solutions of x^2 + 3x – 5 = 0. Can the solution be worked out?

In this question we are looking for a solution to x where the equation will equal to 0.We can first try factorising this, in the framework: (x+a)(x+b). Remembering the method of FOILS (first, outer, inner, l...
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Answered by Vivek G. • Maths tutor
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Explain the concept of price elasticity

Price elasticity of demand (PED) is how demand of a good/service changes as the price of the good/service changes.As a formula: % change in quantity demanded / % change in pricePED < 1 means the quantity ...
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Answered by Vivek G. • Economics tutor
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Find the coefficient of the constant term of the expression (2x+1/(4x^3 ))^8

In order to find the coefficient we need to know which term of the binomial expansion is constant. We know the expression to find the coefficient is (8Cn) (2^n) ((1/4)^(8-n)), where n is the power we are ris...
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Answered by Francisco E. • Maths tutor
4239 Views

How do I improve my history essay writing skills for a source-based question so that I am able to achieve the top band/level?

Firstly, planning and structure are very much key to your success in a history exam. Ensure that before you begin writing your exam response for a source-based question you have a clear argument in your head...
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Answered by Hyacinth H. • History tutor
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