(1) For the function f(x)= x-3 evaluate and simplify the following: 2 4-2x (i) f(-1) (ii) f(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?
(1) For the function f(x)= x-3 evaluate and simplify the following: 2 4-2x (i) f(-1) (ii) f(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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Answer question 1,2,3
Transcribed Image Text:Problem Set: A
(1) For the function f(x)=
x-3
evaluate and simplify the following:
4-2x2
(i) ƒ(-1)
(ii) f(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= 200–16x 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?
Problem Set: B
(1) Solve the following:
1
(i) 2*/2-16
32
(ii) log, (x-2)+log, (x) = 1
(b) The demand curve for a swivel chair is given by p=4000(3¯ª) dollars
where p is the price and q is the quantity, in thousands of swivel chair, demanded at that price.
per
swivel chair,
rig $256 60?
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