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Point P on the curve, x = 2tan( y+ π/12), has a y-coordinate of π/4. Find an equation for the normal to the curve at P.

Step 1 - Firstly, we need to find the x-coordinate of point P. This will allow us to find the normal equation required in the question. To find the x-coordinate, we plug in the value of y given in the questi...
AM
Answered by Andrew M. • Maths tutor
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Describe and explain the effect of an increase in muscular activity on the heart rate.

An increase in muscular activity increases the rate of aerobic respiration. As a result, more carbon dioxide is formed in the Krebs cycle and the pH is lowered. This reduction in pH is detected by chemorecep...
SW
Answered by Shauna W. • Biology tutor
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Compute the derivative of arcsin(x).

To compute the derivative of arcsin(x) we use the fact that it is the inverse of sine. Write y=arcsin(x). We want dy/dx. Taking sin on both sides yields sin(y)=x. Use implicit differentiation to differentiat...
JP
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Integrate sin^2(x)

sin^2(x) is not one of the functions whose antiderivative is commonly known to us. When we see trigonometric functions our best bet is usually to think of some trigonometric identity we know. In this case we...
JP
Answered by John P. • Maths tutor
39225 Views

Describe how emission spectra are formed and how they can be used to identify the elemental composition of a star.

Electrons are bound to a nucleus in quantised energy levels. As they gain and lose energy they transition between this energy levels by emitting photons. Emitted photons have energies equal to the change in ...
GP
Answered by George P. • Physics tutor
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