1:11 3 all all 58% ECON1003_Altern...2_ 2019-2020 - Read-only Read Only - You can't save changes to t... (b) Using algebra, find the solution to the system of inequalities below У<5-Зх y + 19 > x? – 8x (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 is given by the function S(x) = 200 (2x+1).5 3x+4 , 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) = t3 - 4.5t2 + 16t, 0

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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1:11
3 all all 58%
ECON1003_Altern...2_ 2019-2020 - Read-only
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(b) Using algebra, find the solution to the system of inequalities below
У<5-Зх
y + 19 > x? – 8x
(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
is given by the function S(x) = 200 (2x+1).5
3x+4
, 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) =
t3
- 4.5t2 + 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.
The amount of time available for cutting, sewing and packaging is 115 hours,
280 hours and 65 hours respectively. Using either the Inverse Method or the
Cramer's Rule, determine how many of each type of clothing should be made
Transcribed Image Text:1:11 3 all all 58% ECON1003_Altern...2_ 2019-2020 - Read-only Read Only - You can't save changes to t... (b) Using algebra, find the solution to the system of inequalities below У<5-Зх y + 19 > x? – 8x (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 is given by the function S(x) = 200 (2x+1).5 3x+4 , 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) = t3 - 4.5t2 + 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. The amount of time available for cutting, sewing and packaging is 115 hours, 280 hours and 65 hours respectively. Using either the Inverse Method or the Cramer's Rule, determine how many of each type of clothing should be made
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