Question four Given the rational function g(x) = , 3r+3 (A) Find the domain. (B) Find the x and y intercepts. (C) Find the equations of all vertical asymptotes.
Question four Given the rational function g(x) = , 3r+3 (A) Find the domain. (B) Find the x and y intercepts. (C) Find the equations of all vertical asymptotes.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

Transcribed Image Text:(a) Find the value of x to the nearest thousand cameras that will generate the maximum
revenue.
What is the maximum revenue to the nearest thousand dollars? Solve the
problem algebraically by completing the square.
(b) What is the wholesale price per camera that generates the maximum revenue.
Question four
Given the rational function g(x)
3x+3
x² _9 »
(A) Find the domain.
(B) Find the and y intercepts.
(C) Find the equations of all vertical asymptotes.
(D) If there is a horizontal asymptote, find its equation.
Question five
A company that manufactures computers has established that, on the average, a new employee
can assemble (t) components per day after t days of on-the-job training, as given by
50t
N(t)
t > 0.
t+4
Sketch a graph of N, 0<t < 100, including any vertical or horizontal asymptotes. What does
N(t) approach as t increases without bound?

Transcribed Image Text:18:28 d O M •
all l
Mathematics for Business I Assignment Five: Functions
and Relations
Emmanuel A. Amikiya
February 16, 2021
Question one
a) Let f: R → R and g : R - R be defined by f(x) = r + 3r + 1 and g(x) = 2r – 3.
Find
(i) fog
(ii) gof
b) For each mappings /: R-R, find a formula for its inverse:
(i) f(x) = 3r - 7,
(ii) f(x) = +2.
c) For any mapping f : A + B, show that Ig o f = f = fo la, where L4, lg are identity
mappings with respective to sets A, B, respectively.
Question two
Given the quadratic function f(x) = -0.25.r – 2.r +2,
(a) Find the vertex form for f.
(b) Find the vertex and the maximum or minimum. State the range of f.
(c) Describe how the graph of funetion f can be obtained from the graph of g(z) = r using
transformations.
Question three
The financial department in a company that produces a digital camera arrived at the following
price-demand function and the corresponding revenue function:
p(r) = 94.8 – 5ar Price-demand function
R(r) = rp(x) = z(94.8 – 5a) Revenue function
where p(r) is the wholesale price per camera at which r million cameras can be sold and R(r)
is the corresponding revenue. Both functions have domain 1<r< 15.
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