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A baby in a bouncer bounces up and down with a period of 1.2s and amplitude of 90mm. Calculate the baby's maximum velocity.

Relevant equations: 1) frequency = 1/ time period; 2) v(max) = Amplitude*(2pifrequency)

First, we need to calculate the frequency of the baby's oscillation. That is, the number of times, p...

SH
Answered by Sam H. Physics tutor
3890 Views

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)...

JM
3705 Views

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 re...

MC
3782 Views

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) He...

AS
Answered by Aminah S. Maths tutor
8852 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 n...

KW
Answered by Kay W. Biology tutor
3025 Views

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