Tablet Computers Annual sales (in millions of units) of a certain brand of tablet computers

Question

Tablet Computers

 Annual sales (in millions of units) of a certain brand of tablet computers are expected to grow in accordance with the function

f(t) = 0.18t² + 0.16t + 2.64  (0 ≤ t ≤ 2)

per year, where t is measured in years, with t = 0

 corresponding to 1997. How many tablet computers will be sold over the 2 year period between the beginning of 1997 and the end of 1998? (Round your answer to two decimal places.)

Answer 1

F(t) = the integral of f(x) = .18t^3/3 + .16t^2/2 + 2.64t = .06t^3 +.08t^2 +2.64t

evaluate between 0 and 2

= .06(2)^3 +.08(2)^2 +2.64(2)

= .06(8) + .08(4) + 5.28

= .48 +.32 +5.28

= .8 +5.28

= 6.08 million