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A curve has the equation x^2 +2x(y)^2 + y =4 . Find the expression dy/dx in terms of x and y [6]

Integrate each term in terms of x, then integrate each term in terms of y Make sure you state in what form you are integrating. Remember if you are integration in terms of y, the x values are constants and v...
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Answered by Lavana C. • Maths tutor
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Prove that the difference of the square of two consecutive odd numbers is always a multiple of 8. [OCR GCSE June 2017 Paper 5]

Part 1 of this question asks you to explain why 2n+1 is an odd number, so it is assumed that the student knows this already. The definition of any odd number is 2n+1. Since all consecutive odd numbers are tw...
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Answered by Jon J. • Maths tutor
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Work out the value of 27 ^-2/3

In order to answer this question we should first break it down into simpler parts. Using the law of indices we can start this process. Using the law above we can break down the components of the original que...
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Answered by Daniel W. • Maths tutor
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Multiply and simplify the following: (x-8)^2

With these questions, I always think how to write out the expression in terms that are more simple to understand: I would write out the expression as '(x-8)(x-8)' which really shows what the power of 2 is re...
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Answered by Myles S. • Maths tutor
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Solve 3y^2 – 60y + 220 = 0 using the quadratic formula:

when a quadratic equation isn't able to be solved using factorisation, the quadratic formula can be used, which has the general formula of ** **. The letters in the formula represent the coefficients in the ...
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Answered by Olivia C. • Maths tutor
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