1) A company's marginal cost function is c(x) = 12/x wherexis the number of units.

Find the total cost of the first 100 units (fromx=0 tox=100)

Total cost: $________

2) The acceleration of an object(in m/s^2) is given by the functiona(t) = 3sin(t) The initial velocity of the object isv(o) = -2m/s. Round your answers to four decimal places.

a) Find an equation v(t) for the object velocity.

v(t) = ________

b) Find the object's displacement (in meters) from time 0 to time 3

__________meters

c) Find the total distance traveled by the object from time 0 to time 3.

_________meters

3) The marginal cost for printing a paperback book at a small publishing company is c(p) = $0.019 per page where p is the number of pages in the A 720 page book has a $19.13 production cost. Find the production cost function C(p).

c(p) = $________

4) Suppose that in a memory experiment the rate of memorizing is given by M ' (t) = -0.003t^2 +0.5t, where M ' (t) is the memory rate, in words per minute. How many words are memorized in the first 12 minutes?

_________words.

5) Suppose that a particle moves along a straight line with velocity v(t) = 9-5t, where 0t0.5 (in meters per second). Find the formula for the displacement of the particle and the total distance it has traveled at timet = 0.5 seconds.

Displacement at timet is : _________

Total distance traveled :______________ meters in 0.5 seconds