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(а) 5x-3 – 4 (i) Lim X00 2x-2 + 9 (х - 3)2 (ii) Lim- X0 x2 7- 2x - 3

(а) 5x-3 – 4 (i) Lim X00 2x-2 + 9 (х - 3)2 (ii) Lim- X0 x2 7- 2x - 3

Calculus: Early Transcendentals
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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Problem 4 (a) 5x-3 – 4 (i) Lim x-00 2x-2 +9 (х— 3)2 (ii) Lim X0 x2 2х — 3 (b) During a nationwide program to immunize the population against a new strain of the flu, public health officials determined that the cost of inoculating x% of the susceptible population 1.85x would be approximately C(x) = million dollars. 100 – x (i) What would it cost to providing immunization to the first 20% of the susceptible population? (ii) What would it cost to providing immunization to the next 30% of the susceptible population? (iii) Suppose 17 million dollars are available for providing immunization. What percentage of the susceptible population will not receive immunization? (iv) If money was not a problem will they be able to providing immunization to the entire susceptible population? (2х2 —4 (c) Determine the values of x for which the function f(x) = }x+2 . 7 x< 2 2 <x > 5 x2 5 is discontinuous.
Transcribed Image Text:Problem 4 (a) 5x-3 – 4 (i) Lim x-00 2x-2 +9 (х— 3)2 (ii) Lim X0 x2 2х — 3 (b) During a nationwide program to immunize the population against a new strain of the flu, public health officials determined that the cost of inoculating x% of the susceptible population 1.85x would be approximately C(x) = million dollars. 100 – x (i) What would it cost to providing immunization to the first 20% of the susceptible population? (ii) What would it cost to providing immunization to the next 30% of the susceptible population? (iii) Suppose 17 million dollars are available for providing immunization. What percentage of the susceptible population will not receive immunization? (iv) If money was not a problem will they be able to providing immunization to the entire susceptible population? (2х2 —4 (c) Determine the values of x for which the function f(x) = }x+2 . 7 x< 2 2 <x > 5 x2 5 is discontinuous.
Problem 3 (a) A town has a population of 5000 persons, but is expected to grow by 2% every year. (i) What would be the population size in 7 years? 1 esequence 1 1 4'7 (ii) Find the sum of the first eight terms of the (b) A landscape contractor is hired to cultivate ornamental plants in three new residential developments. The contractor charges the developer for each tree cultivated, an hourly rate to cultivate the ornamental plants, and a fixed delivery charge. In one development it took 211 labour hours to cultivate 244 ornamental plants for a cost of $9394. In a second development it took 128 labour hours to cultivate 283 ornamental plants for a cost of $8270. In the final development it took 165 labour hours to cultivate 386 ornamental plants for a cost of $10938. In total 504 labour hours were taken and 913 ornamental plants were cultivated. Using Cramer's Rule of the Inverse Method, determine the cost for each tree, the hourly labour charge, and the delivery charge.
Transcribed Image Text:Problem 3 (a) A town has a population of 5000 persons, but is expected to grow by 2% every year. (i) What would be the population size in 7 years? 1 esequence 1 1 4'7 (ii) Find the sum of the first eight terms of the (b) A landscape contractor is hired to cultivate ornamental plants in three new residential developments. The contractor charges the developer for each tree cultivated, an hourly rate to cultivate the ornamental plants, and a fixed delivery charge. In one development it took 211 labour hours to cultivate 244 ornamental plants for a cost of $9394. In a second development it took 128 labour hours to cultivate 283 ornamental plants for a cost of $8270. In the final development it took 165 labour hours to cultivate 386 ornamental plants for a cost of $10938. In total 504 labour hours were taken and 913 ornamental plants were cultivated. Using Cramer's Rule of the Inverse Method, determine the cost for each tree, the hourly labour charge, and the delivery charge.
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