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Find the stationary point on the line of y = 6x - x^2 and state whether this point is a maximum or a minimum

This question requires differentiating the equation to find where its gradient is equal to zero. Differentation is done via a simple equation --> if y = x n then dy/dx = nx n-1 Therefore if y = 6x - x 2 ,...
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Answered by Percy W. • Maths tutor
6452 Views

Differentiate the following: 5x^3 + 4x^2 + 3x + 2

dy/dx = 15x^2 + 8x + 3 Differentiation was often a question my peers struggled with at gcse and although not necessairly a dominating topic of the syllabus, I found it is an easy way to pick up marks if unde...
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Answered by Callum G. • Maths tutor
3816 Views

White paint costs £2.80 per litre. Blue paint costs £3.50 per litre. White paint and blue paint are mixed in the ratio 3 : 2 Work out the cost of 18 litres of the mixture.

Understanding of the ratio: 2+3=5, 3/5 is white, 2/5 blue, 2.8 18 (3/5) + 3.5 18 (2/5) No calculator paper, so check ability to do accurately arithmetic as above and make sure to think about the answer as co...
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Answered by Rhys T. • Maths tutor
4231 Views

A rectangular path has perimeter of 240m. If the rectangle is split lengthways, two paths of 160m are formed. Work out the lengths of the sides of the original path.

Firstly, make sure to draw a picture! Worded questions are used to catch people out. Drawing a diagram makes solving certain problems much easier. Secondly, notice that we are asked for two pieces of informa...
HD
Answered by Henry D. • Maths tutor
4193 Views

A circle is given by the equation x^2+y^2-20x-24y+195=0. Draw this circle.

In order to answer this question, we must transform this equation for a circle into the general form of an equation of a circle; namely something like (x-a) 2 +(y-b) 2 =r 2 . Once we have done this, we know ...
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Answered by Bea A. • Maths tutor
7113 Views