1) A company's marginal cost function is c(x)=9/x wherexis the number of units.

Find the total cost of the first 36 units (from x=0 to x=36)

Total cost$_____

2) The acceleration of an object (in m/s^2) is given by the function a(t)=3sin(t). The initial velocity of the object isv(0)=-2m/s Round your answers to four decimal places.

a) Find the 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) =$0.016 per pages in the book A 630- page book has a $20.70 production cost function c(p).

c(p) = $___________

4) Suppose that in a memory experiment the rate of memorizing is given byM'(t) = -0.005t^2+0.5t, where M'(t) is the memory rate, in words per minute. How many words are memorized in the first 11 minutes?

__________words.

5) Suppose that a particle moves along a straight line with velocityv(t) =13-4t, where 0t0.5 (in meters per second). Find the formula for the displacement of the particle and the total distance it has traveled at the timet=0.5 seconds.

Displacement at timet is:__________

Total distance traveled: ___________ meters in 0.5 seconds.

6) A ball is thrown upward from a height of 12.9 m at an initial speed of 56 m/sec. Acceleration resulting from gravity is-9.8m/sec^2. Neglecting air resistance, solve for the velocity v(t) and the height h(t) of the ball t seconds after the is thrown

velocity v(t) = ________meters/seconds

height h(t) = _________meters