Quiz 2

Date: MATH 1210-4 - Spring 2004

Note: Unless stated otherwise, answers without justification receive no credit. Please, show your work!

1. Find $\int (x^3+3x^2-1) dx$.
2. Find the area determined by the $x$-axis and the curve $y=6x^5-4x$ for $2\leq x\leq 5$.
3. A ball is thrown straight up from the top of a $100 ft$ tall building with an initial velocity of $16 ft/s$. The acceleration due to the gravity force is $-32 ft/s^2$.
   1. Find a formula for the velocity of the ball $t$ seconds after it is thrown.
   2. Find a formula for the position (height above the ground) of the ball $t$ seconds after it is thrown.
   3. What is the maximum height that the ball reaches?