# Further calculus

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1) A price p (in dollars) and demand x for a product are related by
2x^2+6xp+50p^2=10600.

If the price is increasing at a rate of 4 dollars per month when the price is 30 dollars, find the rate of change of the demand.

2)
a) The price (in dollars) p and the quantity demanded q are related by the equation: p^2+2q^2=1100.
If R is revenue, dR/dt can be expressed by the following equation: dR/dt=A dp/dt,
where A is a function of just q.
b)Find dR/dt when q=20 and dp/dt=4.

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