Online Auctions The rate of change n ( t ) of the number of active eBay users could be approximated by n ( t ) = − 0.200 t 4 + 0.06 t 3 − 0.55 t 3 − 0.55 t 2 + 1.9 t − 1 million users per quarter ( 1 ≤ t ≤ 13 ) where t is time in quarters. ( t = 1 represents the first quarter of 2008.) Use technology to compute ∫ 5 13 n ( t ) d t correctto the nearest whole number. Interpret your answer.
Online Auctions The rate of change n ( t ) of the number of active eBay users could be approximated by n ( t ) = − 0.200 t 4 + 0.06 t 3 − 0.55 t 3 − 0.55 t 2 + 1.9 t − 1 million users per quarter ( 1 ≤ t ≤ 13 ) where t is time in quarters. ( t = 1 represents the first quarter of 2008.) Use technology to compute ∫ 5 13 n ( t ) d t correctto the nearest whole number. Interpret your answer.
Solution Summary: The author analyzes the model for rate of change of number of active eBay users using TI- 83.
Online Auctions The rate of change
n
(
t
)
of the number of active eBay users could be approximated by
n
(
t
)
=
−
0.200
t
4
+
0.06
t
3
−
0.55
t
3
−
0.55
t
2
+
1.9
t
−
1
million users per quarter
(
1
≤
t
≤
13
)
where t is time in quarters. (
t
=
1
represents the first quarter of 2008.) Use technology to compute
∫
5
13
n
(
t
)
d
t
correctto the nearest whole number. Interpret your answer.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY