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This question challenges the student's ability to use the chain rule and to understand what a stationary point is. Having recognised that the chain rule is required, the first step is to use the substitut...

Calculating the integral of ln(x) is harder than it might look and must be done using integration by parts, where the two parts are 1 and ln(x). The integration by parts formula is as follows
integr...

Answer is 243cm². 2+3+4 = 981/9 = 9Non-hypotenuse sides of triangle are therefore length (9x2=18) and (9x3=27)Area of triangle is (18x27)/2 = 243

The aim of solving an algebraic equation (such as x²=4(x-3)² ) is to find the values of x which make the equation correct. There are easy steps to follow for every question which can...

Using the quadratic equation with a = 6, b = 17 and c = -39, x is found to be 1.5 or -4.33