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Solve 7x=4(x-8)

The first thing you need to do to make this easier is to multiply out the brackets so that you can then move all the 'x' terms to one side and all the numbers to the other side. It would become: 7x=4x-32 You...
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Answered by Megha U. • Maths tutor
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How do you find the HCF of 110 and 132

Draw a diagram breaking down 110 and 132 into their multiples (on whiteboard), e.g. 110=11 10 132=11 12 Circle the prime numbers, 11, and then break down the composite numbers (those that aren't prime) into ...
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Answered by Josiah J. • Maths tutor
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Given that y = 4x^3 – 5/(x^2) , x not equal to 0, find in their simplest form (a) dy/dx, and (b) integral of y with respect to x.

a) When differentiating y, the method with each term is to 'times by the power and minus 1'. In order to apply this, we need every term to consist of a coefficient multiplied by a power of x. To start with w...
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Answered by Izzy A. • Maths tutor
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Integral of sin^x dx

Use double angle formula to rearrange for cos2x this gives: x/2 + 1/4sin2x + C (constant)
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Answered by Martin B. • Maths tutor
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give the coordinates of the stationary points of the curve y = x^4 - 4x^3 + 27 and state with reason if they are minumum, maximum, or points of inflection.

differentiating the equation gives dy/dx = 4x^3 - 12x^2 dy/dx = 4x^2(x - 3) at a turning point, dy/dx = 0. Solving the equation 4x^2(x - 3) = 0 yeilds x = 0, x = 3 putting 0 and 3 back into the curves equati...
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Answered by Matthew B. • Maths tutor
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