Annual sales (in millions of units) of hand-held computers are expected to grow in accordance with the function
Where is measured in years, with corresponding to 1997. How many hand-held computers will be sold over the 6-year period between the beginning of 1997 and the end of 2002?

A) 31.73 million
B) 31.84 million
C) 31.4 million
D) 31.68 million

Question

Annual sales (in millions of units) of hand-held computers are expected to grow in accordance with the function ​   ​
Where  is measured in years, with  corresponding to 1997. How many hand-held computers will be sold over the 6-year period between the beginning of 1997 and the end of 2002?
​
A) 31.73 million 
B) 31.84 million 
C) 31.4 million 
D) 31.68 million

Quizplus · Accepted Answer

We first need to find the indefinite integral of the given function:

∫11e^(0.126x) dx = (11/0.126) e^(0.126x) + C

Let's evaluate the definite integral over the given period from 1997 to 2002 (corresponding to x = 0 to x = 5):

∫[0,5]11e^(0.126x) dx = [(11/0.126) e^(0.126*5) - (11/0.126) e^(0.126*0)] = 31.68 million (rounded to two decimal places)

Therefore, the answer is D). 31.68 million.

Annual Sales (In Millions of Units) of Hand-Held Computers Are