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Find the stationary points of y = 4(x^2 - 4)^3

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 substitution...
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Answered by Tom L. • Maths tutor
4134 Views

Calculate the integral of ln(x)

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 integral{udv) =...
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Answered by Callum R. • Maths tutor
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The perimeter of a right-angled triangle is 81 cm. The lengths of its sides are in the ratio 2 : 3 : 4. Work out the area of the triangle.

Answer is 243cm 2 . 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
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Answered by Casey A. • Maths tutor
3949 Views

Describe and explain how temperature affects the rate of an enzyme-controlled reaction?

Up to the optimum temperature (around 37 degrees Celsius) kinetic energy increases. So the likelihood of successful collisions between the active site of the enzyme and substrate increases. More enzyme subst...
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Answered by Enya F. • Biology tutor
6008 Views

What is the most effective way to analyse a primary source in order to maximise my marks for the exam?

When analysing a source question, you must understand the two-fold approach to the question at hand. For example, most source questions will follow the structure, 'with reference to the sources and your unde...
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Answered by Jasleen S. • History tutor
8265 Views