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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
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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(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:(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?
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. O Unlimited Videos @ GHC 2/day OPEN II
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. O Unlimited Videos @ GHC 2/day OPEN II
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