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A function is defined parametrically as x = 4 sin(3t), y = 2 cos(3t). Find and simplify d^2 y/dx^2 in terms of t and y.

We first need to find dy/dx and we use the fact that dy/dx = dy/dt * dt/dx. So we have dy/dt = -6 sin(3t) and dx/dt = 12 cos(3t). Substituing these in we have dy/dx = -6*sin(3t) 1/(12 cos(3t) which simplifie...
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Answered by Barnaby S. Maths tutor
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How do I effectively revise quotes?

It is much easier to remember something if we break it down into smaller parts. Therefore I tend to sort my quotations in relation to themes and characters and here you can see that there are a lot of overla...
NF
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Why do we use the n+1 rule in proton NMR?

The n+1 rule is used to describe the relationship between peak splitting and the number of protons a particular proton is coupled to - that is, how many protons are attached to the carbons next to the carbon...
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Answered by Daisy R. Chemistry tutor
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Explain the formation of an action potential.

The change from resting potential to action potential is caused by the stimulation of a recpetor , this causes a chain reaction which eventually leads to a positive environement inside the cell. An change in...
MT
Answered by Molly T. Biology tutor
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Explain how anti-diuretic hormone (ADH) is released and acts on cells in the collecting duct wall?

Osmoreceptors in the hypothalamus detect a change in the water potential of blood, this stimulates neurosecretory cells to make and release ADH. ADH travels down the axon to the terminal bulb in the posterio...
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Answered by Claire B. Biology tutor
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