   Chapter 2, Problem 51RE

Chapter
Section
Textbook Problem

Let B(t) be the number of US \$20 bills in circulation at time t. The table gives values of this function from 1990 to 2010, as of December 3 1, in billions. Interpret and estimate the value of B'(2000). t 1990 1995 2000 2005 2010 B(t) 3.45 4.21 4.93 5.77 6.53

To determine

To interpret: The value of B(2000) and estimate its value.

Explanation

Formula used:

For small h, limh0B(x+h)B(x)hB(x+h)B(x)h.

Calculation:

Obtain the value of B(2000) by using the formula.

Calculation of B(2000) is as follows,

Substitute h=5 in the above expression,

B(2000)B(20005)B(2000)5=B(1995)B(2000)5=4.214.935=0

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