The number C of civil rights cases pending in the U.S. district courts from 2000 through 2005 can be modeled by C=-166.472t3+1013.92t2-1642.9t+44316 0 is less than or equal to "t" which is less than or equal to 5 a) Use a graphing utility to graph the model b) Use the second derivative to determine the concavity of C c) Find the points of inflection to the graph of C and interpret its meaning
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
The number C of civil rights cases pending in the U.S. district courts from 2000 through 2005 can be modeled by
C=-166.472t3+1013.92t2-1642.9t+44316
0 is less than or equal to "t" which is less than or equal to 5
a) Use a graphing utility to graph the model
b) Use the second derivative to determine the concavity of C
c) Find the points of inflection to the graph of C and interpret its meaning
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