4:00 O ll l 77% ECON1003_Altern..2_ 2019-2020 - Read-only ビy Read Only - You can't save changes to .. Page 2 Question 2 (a) For matrix A = C ), if g(X) = x² + 4x + 2, what is the answer to g(A)? (b) Using algebra, find the solution to the system of inequalities below У <5-3х у+ 192 х2 — 8х (c) What is peculiar about the slope of a function before and after a point of inflection as compared with the slope before or after a maximum or minimum point? (d) Suppose that the satifaction received from a number of rides taken on a roller coaster 0.5 (2x+1) is given by the function S(x) = 200 ( ) , where S is the satisfaction received and x is the number of rides taken. (i) Find the rate at which the satisfaction changes with respect to the number of rides taken. Question 3. (a) A project management consultant estimated that if a particular project was completed, t years after completion, N thousand persons would benefit directly from the project, where N(t) = - 4.5t? + 16t, 0

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 84E: Explain the differences between Gaussian elimination and Gauss-Jordan elimination.
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O ll l 77%
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Page 2
Question 2
(a) For matrix A =
C ), if g(X) = x² + 4x + 2, what is the answer to g(A)?
(b) Using algebra, find the solution to the system of inequalities below
У <5-3х
у+ 192 х2 — 8х
(c) What is peculiar about the slope of a function before and after a point of inflection
as compared with the slope before or after a maximum or minimum point?
(d) Suppose that the satifaction received from a number of rides taken on a roller coaster
0.5
(2x+1)
is given by the function S(x) = 200 ( )
, where S is the satisfaction
received and x is the number of rides taken.
(i) Find the rate at which the satisfaction changes with respect to the
number of rides taken.
Question 3.
(a) A project management consultant estimated that if a particular project was
completed, t years after completion, N thousand persons would benefit directly from
the project, where
N(t) =
- 4.5t? + 16t,
0 <t< 10
For what value of t, will the largest number of people receive direct benefits?
(b) A clothing manufacturer makes trousers, skirts and blouses. Each trouser requires
20 minutes of cutting time, 60 minutes of sewing time and 5 minutes of packaging
time. Each skirt requires 15 minutes of cutting time, 30 minutes of sewing time and
12 minutes of packaging time. Each blouse requires 10 minutes of cutting time,
24 minutes of sewing time and 6 minutes of packaging time.
Transcribed Image Text:4:00 O ll l 77% ECON1003_Altern..2_ 2019-2020 - Read-only ビy Read Only - You can't save changes to .. Page 2 Question 2 (a) For matrix A = C ), if g(X) = x² + 4x + 2, what is the answer to g(A)? (b) Using algebra, find the solution to the system of inequalities below У <5-3х у+ 192 х2 — 8х (c) What is peculiar about the slope of a function before and after a point of inflection as compared with the slope before or after a maximum or minimum point? (d) Suppose that the satifaction received from a number of rides taken on a roller coaster 0.5 (2x+1) is given by the function S(x) = 200 ( ) , where S is the satisfaction received and x is the number of rides taken. (i) Find the rate at which the satisfaction changes with respect to the number of rides taken. Question 3. (a) A project management consultant estimated that if a particular project was completed, t years after completion, N thousand persons would benefit directly from the project, where N(t) = - 4.5t? + 16t, 0 <t< 10 For what value of t, will the largest number of people receive direct benefits? (b) A clothing manufacturer makes trousers, skirts and blouses. Each trouser requires 20 minutes of cutting time, 60 minutes of sewing time and 5 minutes of packaging time. Each skirt requires 15 minutes of cutting time, 30 minutes of sewing time and 12 minutes of packaging time. Each blouse requires 10 minutes of cutting time, 24 minutes of sewing time and 6 minutes of packaging time.
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