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How do I know when a quadratic function crosses the y-axis?

The key thing to remember here is that the y-axis is a straight line and all of the points that lie on it have the x-value of 0. This means that the curve crosses the y-axis when x=0 so you can substitute th...
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Answered by Scott R. • Maths tutor
7430 Views

How would you differentiate f(x)=3x(2x-1)^2

This question is really straight forward By using the Chain rule: f'(x) = uv' + u'v. let u=3x, so u'=3 let v=(2x-1)^2, so v'=2x2(2x-1)=8x-4 Now, we put this expression altogether: As f'(x) = uv' + u'v f'(x)=...
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Answered by Ruihang Z. • Maths tutor
7086 Views

The first three terms of a sequence are a, b, c. The term-to-term rule of the sequence is 'Multiply by 2 and subtract 4'. Show that c = 4(a – 3).

As the answer is given in the question, it's really important that you lay out your working carefully to give a convincing account as to how you got from the question to the answer. Here we have a sequence. ...
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Answered by Robin B. • Maths tutor
13259 Views

What is a good way to remember the sine, cosine and tangent rules of a triangle?

If you are trying to find the sine of an angle, remember: SOH The sine of an angle (S)= the length of the opposite side (O) / the length of the hypotenuse (H) If you are trying to find the cosine of an angle...
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Answered by Hannah W. • Maths tutor
4510 Views

Share £650 in the ratio 8:5

Begin by adding the 2 ratio parts (i.e. the numbers which make up the ratio) so 8+5 = 13. Then divide the total sum by the sum of the ratio parts. Thus £650/13 = £50. Multiply this by each of the ratio parts...
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Answered by Harry V. • Maths tutor
8143 Views