Stocks The table presents the 2016 percentage change in the stock price for six well-known companies. (Data from: finance.yahoo.com .) Company Percentage Change American Express +10.6% Coca-Cola − 1.0 % ExxonMobil +14.9% Hewlett Packard +63.1% Ford − 5.7 % Red Robin Gourmet Burgers − 8.0 % Suppose that we wish to determine the difference in percentage change between two of the companies in the table, and suppose that we are interested only in the magnitude, or absolute value, of this difference. Then we subtract the two entries and find the absolute value. For example, the difference in percentage change of stock price for American Express and Ford is | 10.6 % − ( − 5.7 % ) | = 16.3 % Find the absolute value of the difference between the two indicated changes in stock price. Coca-Cola and Ford
Stocks The table presents the 2016 percentage change in the stock price for six well-known companies. (Data from: finance.yahoo.com .) Company Percentage Change American Express +10.6% Coca-Cola − 1.0 % ExxonMobil +14.9% Hewlett Packard +63.1% Ford − 5.7 % Red Robin Gourmet Burgers − 8.0 % Suppose that we wish to determine the difference in percentage change between two of the companies in the table, and suppose that we are interested only in the magnitude, or absolute value, of this difference. Then we subtract the two entries and find the absolute value. For example, the difference in percentage change of stock price for American Express and Ford is | 10.6 % − ( − 5.7 % ) | = 16.3 % Find the absolute value of the difference between the two indicated changes in stock price. Coca-Cola and Ford
Solution Summary: The author calculates the absolute value of the difference between the stock price of Coca-Cola and Ford.
Stocks The table presents the 2016 percentage change in the stock price for six well-known companies. (Data from:finance.yahoo.com.)
Company
Percentage Change
American Express
+10.6%
Coca-Cola
−
1.0
%
ExxonMobil
+14.9%
Hewlett Packard
+63.1%
Ford
−
5.7
%
Red Robin Gourmet Burgers
−
8.0
%
Suppose that we wish to determine the difference in percentage change between two of the companies in the table, and suppose that we are interested only in the magnitude, or absolute value, of this difference. Then we subtract the two entries and find the absolute value. For example, the difference in percentage change of stock price for American Express and Ford is
|
10.6
%
−
(
−
5.7
%
)
|
=
16.3
%
Find the absolute value of the difference between the two indicated changes in stock price.
Determine whether the inverse of f(x)=x^4+2 is a function. Then, find the inverse.
Velocity of a Ball Thrown into the Air The position function of an object moving along a straight line is given by s = f(t). The average velocity of
the object over the time interval [a, b] is the average rate of change of f over [a, b]; its (instantaneous) velocity at t = a is the rate of change of f at a.
A ball is thrown straight up with an initial velocity of 128 ft/sec, so that its height (in feet) after t sec is given by s = f(t) = 128t - 16t².
(a) What is the average velocity of the ball over the following time intervals?
[3,4]
[3, 3.5]
[3, 3.1]
ft/sec
ft/sec
ft/sec
(b) What is the instantaneous velocity at time t = 3?
ft/sec
(c) What is the instantaneous velocity at time t = 7?
ft/sec
Is the ball rising or falling at this time?
O rising
falling
(d) When will the ball hit the ground?
t =
sec
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