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Solve the inequality |x - 2sqrt(2)| > |x - 4sqrt(2)|.

This problem can be solved by squaring both sides of the inequality, as this removes the modulus from the problem. Modulus or | | means that a term can take positive and negative values, which could also be ...
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Answered by Jade A. • Maths tutor
3736 Views

What is y' when y=3xsinx?

In order to differentiate something like y=3xsinx, you need to make use of the product rule. The product rule says that when you have an equation in the form y=f(x)g(x), you can find y' by using the formula ...
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Answered by Edward S. • Maths tutor
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Find the Co-ordinates and nature of all stationary points on the curve y=x^3 - 27x, and attempt to sketch the curve

Firstly we need to find the stationary points, we know that when the first derivative of the curve is equal to 0, this means it is a stationary point as there is no effective gradient. The first derivative i...
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Answered by Ahmed K. • Maths tutor
6553 Views

The graph above shows the line y = 3*x^2. Find the area beneath the graph from y = 0 to y = 5.

The area can be found using a definite integral. Integral from 0 to 5 of [3x 2 ] = [x] 5 0 = 5 - 0 = 5
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Answered by Christiana N. • Maths tutor
3502 Views

Differentiate (x^0.5)ln(x) with respect to x.

First it's helpful to write f(x) = (x^0.5)ln(x)The product rule is useful here, this may be written in the form (u(x) v(x))' = u(x) v'(x) + u'(x) v(x).Here we will take u(x) = x^0.5 and v(x) = ln(x), meaning...
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Answered by Connor C. • Maths tutor
4668 Views