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What is the best way to prepare to sit my exams?

I found that the best way to prepare was by looking at past exam questions and attempting them under exam conditions - timed, in silence, and without notes. It can also be useful to look over worksheets that...
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Answered by Tegan C. Maths tutor
3137 Views

Factorise x^2 −x−12

To factorise you need to look at common factors. And it needs to be put into the expression (x+/- y)(x+/- v)For X 2 -X-12, you need two numbers that times to make -12 and add to make -1-1X12, -12X1, -6X2, -2...
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Answered by Lauryn P. Maths tutor
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How do I use Pythagoras to work out the length of a triangle?

Pythagoras is a theory that works for right-angled triangles and allows us to work out the length of its sides.The theory is: x 2 = a 2 + b 2 (I will show this with a diagram)I will then walk the student thr...
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Answered by Florence B. Maths tutor
2991 Views

Differentiate the following: y=(7x^2+2)sinx

Differentiate using the product rule.Product rule: for y=uv , where u and v are functions of x, dy/dx=vdu/dx + udv/dxy=(7x 2 +2)sinx so u=(7x 2 +2) and v=sinx . By differentiating these functions:du/dx=14x a...
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Answered by Eleanor T. Maths tutor
3862 Views

A ladder of length 5 m is place with the foot 2.2 m from the base of a vertical wall. How high up the wall does the ladder reach?

Drawing a diagram will help to visualise the problem and realise it is based on Pythagoras's theorem: a^2 + b^2 = c^2. We have been given 'c' the hypotenuse (5 m) and one of the shorter sides (2.2 m), which ...
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Answered by Gagandeep S. Maths tutor
5111 Views