Provide an appropriate response.A trucker handed in a ticket at a toll booth showing that in 3 hours he had covered 223 miles on a toll road with speed limit 65 mph. The trucker was cited for speeding. Why?
What will be an ideal response?
As the trucker's average speed was 74 mph, the Mean Value Theorem implies that the trucker must have been going that speed at least once during the trip.
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Solve the problem.Find the moment of inertia IL of the rectangular solid of density 
defined by 
, 
, 
, where L is the line through the points 
, 
style="vertical-align: -4.0px;" />.
A. 5600
B. 
C. 
D. 
Initially a city has a population of 104 thousand. Over the first 10 years the population grows exponentially at a rate of 11% per year. Over the next 10 years the population grows linearly at a rate of 33 thousand individuals per year.
?
A: Find a formula that gives the population N, in thousands, over the first 10 years.
?
B: Find a formula that describes the population from year 10 to year 20. Be careful: Year 10 corresponds to 
, not to 
.
?
C: Find a formula for a piecewise-defined function that describes the population over the 20-year period.
?
D: Make a graph of the population over the 20-year period.
?
What will be an ideal response?
Evaluate the integral.
d?
A. 
sin 
? - 
sin 
? + C
B. 
sin 
? + 
sin 
? + C
C. 
cos 
? + 
cos 
?+ C
D. 
sin 3? + 
sin 7? + C
Find the length of the missing side in the right triangle.
a = 12, b = 16; find c
A. 400
B. 112
C. 4
D. 20