Impact of Mad Cow Disease on Canadian Beef Exports The discovery of one case of bovine spongiform encephalopathy, or mad cow disease, in May 2003 in Canada led to an immediate ban on all Canadian beef exports. At the beginning of September 2003 , the ban was lifted, and exports of Canadian beef rose at a steady rate $ 42.5 million per month. Express the value of the monthly exports of Canadian beef as a function of time for the period starting the first day of September 2003 . What was the value of the monthly exports at the end of December 2003 , when presumably the exports regained their normal level? (Source.- International Trade Division Statistics, Canada)
Impact of Mad Cow Disease on Canadian Beef Exports The discovery of one case of bovine spongiform encephalopathy, or mad cow disease, in May 2003 in Canada led to an immediate ban on all Canadian beef exports. At the beginning of September 2003 , the ban was lifted, and exports of Canadian beef rose at a steady rate $ 42.5 million per month. Express the value of the monthly exports of Canadian beef as a function of time for the period starting the first day of September 2003 . What was the value of the monthly exports at the end of December 2003 , when presumably the exports regained their normal level? (Source.- International Trade Division Statistics, Canada)
Solution Summary: The author calculates the value of monthly exports of Canadian beef as a function of time for the period starting the first day of September 2003.
Impact of Mad Cow Disease on Canadian Beef Exports The discovery of one case of bovine spongiform encephalopathy, or mad cow disease, in May
2003
in Canada led to an immediate ban on all Canadian beef exports. At the beginning of September
2003
, the ban was lifted, and exports of Canadian beef rose at a steady rate
$
42.5
million per month. Express the value of the monthly exports of Canadian beef as a function of time for the period starting the first day of September
2003
. What was the value of the monthly exports at the end of December
2003
, when presumably the exports regained their normal level? (Source.- International Trade Division Statistics, Canada)
Explain the key points and reasons for 12.8.2 (1) and 12.8.2 (2)
Q1:
A slider in a machine moves along a fixed straight rod. Its
distance x cm along the rod is given below for various values of the time. Find the
velocity and acceleration of the slider when t = 0.3 seconds.
t(seconds)
x(cm)
0 0.1 0.2 0.3 0.4 0.5 0.6
30.13 31.62 32.87 33.64 33.95 33.81 33.24
Q2:
Using the Runge-Kutta method of fourth order, solve for y atr = 1.2,
From
dy_2xy +et
=
dx x²+xc*
Take h=0.2.
given x = 1, y = 0
Q3:Approximate the solution of the following equation
using finite difference method.
ly -(1-y=
y = x), y(1) = 2 and y(3) = −1
On the interval (1≤x≤3).(taking h=0.5).
Consider the function f(x) = x²-1.
(a) Find the instantaneous rate of change of f(x) at x=1 using the definition of the derivative.
Show all your steps clearly.
(b) Sketch the graph of f(x) around x = 1. Draw the secant line passing through the points on the
graph where x 1 and x->
1+h (for a small positive value of h, illustrate conceptually). Then,
draw the tangent line to the graph at x=1. Explain how the slope of the tangent line relates to the
value you found in part (a).
(c) In a few sentences, explain what the instantaneous rate of change of f(x) at x = 1 represents in
the context of the graph of f(x). How does the rate of change of this function vary at different
points?
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