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Using the normal distribution, we can estimate a range of values which we expect to contain the mean. For example, if we take a sample of 30 students height, we can estimate the mean height of students in...

i) (2sqrt(7))² = 2²  sqrt(7)² = 4 * 7 = 28      (1 mark) ii) First of all substitute the answer from above.    ((2 * sqrt(7))² + 8) / (3 + sqrt(7)) = (...

Firstly, we need to find the gradient at this point on the curve as the tangent will have the same gradient. So to find the gradient of the curve or in other words, dy/dx, we differentiate the equation. T...

This is a typical mechanics question in an AS/A-level exam and uses the principles of SUVAT and projection.

• We can try to calculate the maximum height reached first using the veritical compon...

Here, f(x)=x³e^2x is a function consisting of two functions multiplied together, so we need to use the product rule. The product rule is as follows: where f(x)=u(x)v(x), f'(x)=u(x)v'(...