Fundamental Theorem of Calculus

1:

The marginal cost of producing the xth box of light bulbs is

4 +x2/1000

dollars per box. Determine how much is added to the total cost by a change in production from x = 50 to x = 80 boxes.

$_________________________

2:

The marginal revenue of the xth box of flash cards sold is

400e^0.002x dollars per box.

Find the revenue generated by selling items 101 through 6,000. (Round your answer to the nearest cent.)

$___________________

3:

A ball thrown in the air has a velocity of

v(t) = 93 32t ft/sec

at time t seconds. Find the total displacement of the ball between times

t = 1 second and t = 7 seconds.

______________ft Interpret your answer .The ball is ________________ feet lower after 7 seconds than it was at the end of the first second.