Question: 1 Suppose that the demand function for a product is given by D(p)=35,000/p and that the price p is a function of time given by

1 Suppose that the demand function for a product is given by D(p)=35,000/p

and that the price p is a function of time given by

p=1.9t+12, where t is in days.

a)

Find the demand as a function of time t.

b)

Find the rate of change of the quantity demanded when

t=105days.

2 Let f(u)=u4 and g(x)=u=5x3+5. Find (fg)(1).

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