Online Auctions The following graph shows the rate of change n ( t ) of the number of active eBay users, in millions of users per quarter, from the first quarter of 2008 through the first quarter of 2011. ( t is time in quarters; t = 1 represents the first quarter of 2008.) 29 Use a left Riemann sum with four subdivisions to estimate the total change in the number of active users from the second quarter of 2008 to the second quarter of 2010 (the interval [ 2 , 10 ] ). [ HINT: See Example 3.]
Online Auctions The following graph shows the rate of change n ( t ) of the number of active eBay users, in millions of users per quarter, from the first quarter of 2008 through the first quarter of 2011. ( t is time in quarters; t = 1 represents the first quarter of 2008.) 29 Use a left Riemann sum with four subdivisions to estimate the total change in the number of active users from the second quarter of 2008 to the second quarter of 2010 (the interval [ 2 , 10 ] ). [ HINT: See Example 3.]
Solution Summary: The author explains how to calculate the total variation in active eBay users from the second quarter of 2008 to 2010 by using Riemann sum and take subdivisions.
Online Auctions The following graph shows the rate of change
n
(
t
)
of the number of active eBay users, in millions of users per quarter, from the first quarter of 2008 through the first quarter of 2011. (t is time in quarters;
t
=
1
represents the first quarter of 2008.)29
Use a left Riemann sum with four subdivisions to estimate the total change in the number of active users from the second quarter of 2008 to the second quarter of 2010 (the interval
[
2
,
10
]
Use Euler's method to numerically integrate
dy
dx
-2x+12x² - 20x +8.5
from x=0 to x=4 with a step size of 0.5. The initial condition at x=0 is y=1. Recall
that the exact solution is given by y = -0.5x+4x³- 10x² + 8.5x+1
Find an equation of the line tangent to the graph of f(x) = (5x-9)(x+4) at (2,6).
Find the point on the graph of the given function at which the slope of the tangent line is the given slope.
2
f(x)=8x²+4x-7; slope of the tangent line = -3
Chapter 6 Solutions
Student Solutions Manual for Waner/Costenoble's Applied Calculus, 7th
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