(1) For the function f(x)=*-3 4- 2x evaluate and simplify the following: (i) f(-1) (ii) ƒ(2a-b)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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x-3
(1) For the function f(x)=
evaluate and simplify the following:
4- 2x?
(i) f(-1)
(ii) ƒ(2a –b)
(2) The length of a rectangular floor is two metres more than twice its width. If a diagonal of
the rectangle is 13 meters, find the area of the floor.
(3) The demand function for a tablet is given by the model p=200–16x² where p is measured
in dollars per tablet and x is measured in millions of tablets. If it costs $50 to produce each tablet
and a profit of $125 million was derive when 2.5 million tablets were produced. Derive the
number of tablets that the company could sell to make the same amount of profit?
Transcribed Image Text:x-3 (1) For the function f(x)= evaluate and simplify the following: 4- 2x? (i) f(-1) (ii) ƒ(2a –b) (2) The length of a rectangular floor is two metres more than twice its width. If a diagonal of the rectangle is 13 meters, find the area of the floor. (3) The demand function for a tablet is given by the model p=200–16x² where p is measured in dollars per tablet and x is measured in millions of tablets. If it costs $50 to produce each tablet and a profit of $125 million was derive when 2.5 million tablets were produced. Derive the number of tablets that the company could sell to make the same amount of profit?
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