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Given that 3^(-3/2) = a* 3^(1/2), find the exact value of a.

3^(3/2) = a * 3^(1/2) 3^(1/2) * 3^(-2) = 3^(3/2)Therefore a must be equal to 3^(-2)a = 1/9
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Answered by Oliver W. • Maths tutor
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A curve with equation y = f(x) passes through the point (4,25). Given that f'(x) = (3/8)*x^2 - 10x^(-1/2) + 1, find f(x).

f'(x) = (3/8) x^2 - 10x^(-1/2) + 1Each term must be integrated (increase the power by 1 and divide by the new power), remembering to include + c.f(x) = (3/8) (x/3)^3 - 10*(2x)^(1/2) + x + cf(x) = (1/8) x^3 -...
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Answered by Oliver W. • Maths tutor
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How is an Action Potential transmitted across a synapse?

-An action potential arrives at the presynaptic membrane-Ca 2+ ion channels open-Ca 2+ ions diffues into presynaptic knob-Acetylcholine/ neurotransmitter in vesicles-Vesicles move towards presynaptic membran...
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Answered by Darcie W. • Biology tutor
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A) Draw field lines around a positive point particle. B) How does a faraday cage prevent the people within it recieving a electric shock ?

A) symmetrical straight lines coming out of the particle, with arrows pointing away from the particle. A useful tool in answering these questions is to imagine what would happen if you placed a second positi...
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Answered by Thomas H. • Physics tutor
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What determined allegiance during the British Civil Wars?

It is clear that religious affiliation and religious fears were the principle factors determining allegiance in the British Civil Wars for the people who actively chose to fight, however it is important to r...
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Answered by Phoebe M. • History tutor
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