Question

The revenue for Google from 2008,t=0, through 2012,t = 4, is approximated by the function (t)--022 +1.642 + 1.31+3.2. where (t) is in billions of dollars. a. Find R'(t) and R"(t) b. Show that R'(t) > O for allt in the interval (0.4). Use the quadratic formula if needed. c. If it exists, find the inflection point of the graph R.

Answer 1

Gevon Revenue function for google a R(t) = -0.2t +1664 +² +1631t +3.2 Differentiat (0 War.t. 'ť R'(t) d (RA) dt RU -0.6 +² +3.28t +. 31 (2) 3 6 Again Differentiate worto ť R"(t) = a (R' (t)) dt R (t) -1.2t t 3,28 b) from @ R' (t) = -0.6 +3.28t + 1.31 Here a=-0, 6, b=3.28 and C=163) then from Quadratic Formulan from -bt 56²_4ac t = 29 3,28 + 1[3.28)2 24 (-0.6) (1.31) 260.6)

Thank you