Calculus HW
aznoyghw_1.doc
Name
1. Answer the following questions if you can find the limit, or state that the limit does not exist.
a.
b.
c. what is
d.
e.
f.
g.
h.
2. Answer the following questions:
a.
b.
c.
d.
3. Answer the following questions – find the derivative of the following functions:
a.
b.
c.
d.
e.
4. Find the equation of the tangent line and use meta-calculator to draw the graph of f(x) and the tangent line
a.
b.
c.
5. An amusement park designs its roller-coaster ride based on the function, where t is the time of the ride in seconds. The designer wants to achieve the speed and, what are the design parameters a and b should be?