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For f(x) = (3x+4)^(-2), find f'(x) and f''(x) and hence write down the Maclaurin series up to and including the term in x^2.

f'(x)=-2(3x+4)^(-3) * 3 = -6(3x+4)^(-3); f''(x)= 18(3x+4)^(-4) * 3 = 54(3x+4)^(-4); both found by using the chain rule for differentiation. Then Maclaurin series up to x^2 is: f(x)=f(0)+f'(0)x+1/2 f''(0)x^2;...
JM
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How should I best approach SAQs to get the highest marks in Paper 1? Could you give an example?

For SAQs (Short Answer Questions) in Paper 1, remember that they are worth 8 marks each. You can easily get at least 6 marks if you do the following. I will use the bullet point "Explain one study relat...
MC
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What is the area of triangle ABC where AB = 5 cm, BC = 12 cm and angle ABC = 50 degrees?

To find the area of a triangle where the length of the base and perpendicular heights are not known, use the sine rule to find the area. This is: Area = 0.5 x a x b x sin(angle between lengths a and b) Hence...
AS
Answered by Aminah S. • Maths tutor
9551 Views

How does a nerve transmit impulses?

At rest a nerve cell or fiber has more sodium (NA+) ions in the extracellular fluid and more potassium (K+) ions in the intracellular fluid. There are both NA+ and K+ ion channels in the membrane of the nerv...
KW
Answered by Kay W. • Biology tutor
3445 Views

Experimentally, how would you calculate the Young's modulus of a material?

Young's modulus = stress/strain. Stress = F/A Strain= e/l. Measure the length of a wire between 2 points, placing a marker at each. Also measure the diameter to calculate the cross sectional area of the wire...
BL
Answered by Ben L. • Physics tutor
2710 Views