Mercer
County Community
College Prof. Porter MAT111
Calculus Midterm
 What
is Calculus?
How can you use
it?
 In
1990 sales were $3 Billion, and in 1995 sales were up to $5 Billion. If
sales climbed to $10 Billion in 2002, what do you expect the sales to be
in 2003 using a linear regression?
Answer:____________________
 If the
function s(t) is found to model distance at time t, find the average speed
between time t = 0 and t = 2 and instantaneous speed at t = 1 if _{}
Ave:____________________
Instantaneous:_________________
 Find
y’ if y = _{}
Answer:____________________
 Use
logarithmic differentiation to find y’ if y = _{}
Answer:____________________
 A
spherical balloon is inflating at a rate of 3 cc per second. How fast is
the radius growing when the radius is 5 cm?
Answer:____________________
 Approximate
the square root of 102 using differentials.
Answer:____________________
 Use
the definition of derivative to find the derivative of the function_{}.
 Evaluate
the more complicated limits:
a._{}
Answer:____________________
b._{}
Answer:____________________
 Determine
if the graph below is continuous, has a limit, has a derivative at the
points specified.
X=

1

2

3

4

Continuous





Differentiable





Limit Value
From left




