Review question for exam on chap 2 and sec 3.1
Print out and bring to class on Friday 5/2 to make repairs to graphs
1) Order the value of the following from smallest to largest based on the graph below of position vs. time:
a) Average velocity from time 0 to 5
b) Average velocity from time 1 to 5
c) Instantaneous velocity at time 1
d) Instantaneous velocity at time 0.2
2) On the graph of y = g(t) below
label a point A where 
and 
label a point B where 
and
label a point C where 
has its maximum value
3) Given the graph of 
, (the graph of the derivative
of the function h(x))
a) On what interval(s) is the function h(x) is increasing?
b) On what interval(s) is the function h(x) is decreasing?
4) Use the definition of the derivative as the limit of a
ratio to find the formula for the derivative function, f ’(x), given that 
. Show ALL WORK.
5) 
is a function that;
for an input, t, of the number of days since the introduction of the u~pod;
outputs the total cumulative sales since the product’s introduction.
Interpret the following 4 mathematical statements in English being sure to specify units.
a) SL(3) = 50,315
b) 
c) 
d) 
6) Find the equation of the line tangent to the graph of 
at 
7) Fill in the blanks in the chart below with either
+ for positive value
- for negative value
0 for value of zero
based on the graph of y = p(x) below
|
x |
p(x) |
p’(x) |
p’’(x) |
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8) Below is a chart of data relating time to position of an object.
|
Time in seconds |
0 |
3 |
6 |
9 |
12 |
15 |
|
Position in feet |
15 |
10 |
7 |
5 |
9 |
16 |
a) What was the average velocity of the object from time 3 seconds to time 12 seconds? Show your work.
b) What is your best estimate for the instantaneous velocity of the object at time 9 seconds? Show your work.
c) What conclusions can you draw about the acceleration of the object while this data was being collected?
Make a clear and concise argument as to how and why you came to this conclusion.