CALCULUS:GRAPHICAL,NUMERICAL,..-PACKAGE
5th Edition
ISBN: 9780133320381
Author: Finney
Publisher: SAVVAS L
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Select the statement that is false about the difference quotient.
The difference quotient can be represented by f(x+h)−f(x)(x+h)−x or f(x+h)−f(x)h
The difference quotient is a more general form of the average rate of change of a function on an interval h units long.
The difference quotient describes the general behavior of a function over some interval h units long when the rate of change is not constant.
As the value of h gets smaller and smaller, the value of the difference quotient becomes a better and better approximation of the average rate of change of a function f near (x,f(x)).
As the value of h gets larger and larger, the value of the difference quotient becomes a better and better approximation of the average rate of change of a function f near (x,f(x)).
The function C gives the number of bushels of corn produced on a tract of farmland that is treated with f pounds of nitrogen per acre.
(a) Is it possible for C(95) to be negative? Explain.
C(95) ---Select---
(b) What are the units on
O bushels
O pound per acre
O bushels per pound/acre
O pound per acre/bushel
(c) Is it possible for
be negative since the smallest amount of bushels of corn produced that can be produced is
d=95
?
If = 95
dfff=95
---Select--- be negative if the amount of corn produced is ---Select--- as additional pounds of nitrogen beyond 95 pounds per acre are applied.
to be negative? Explain.
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