Problem 4(a)5x-3 - 4(i) Limx00 2x-2 +9(x – 3)2(ii) Lim7- 2x - 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 population1.85xwould be approximately C(x)million dollars.100 – x(i) What would it cost to providing immunization to the first 20% of the susceptiblepopulation?(ii) What would it cost to providing immunization to the next 30% of the susceptiblepopulation?(iii) Suppose 17 million dollars are available for providing immunization. What percentageof the susceptible population will not receive immunization?(iv) If money was not a problem will they be able to providing immunization to the entiresusceptible population?(2x²-4(c) Determine the values of x for which the function f(x) = {x+ 2x < 22 5x 2 5%3Dis discontinuous. (a)5x-3 - 4(i) Limx-0 2x-2 +9(x - 3)2(ii) LimX00 x27- 2x - 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 population1.85xwould be approximately C(x) =million dollars.100 - x(i) What would it cost to providing immunization to the first 20% of the susceptiblepopulation?(ii) What would it cost to providing immunization to the next 30% of the susceptiblepopulation?(iii) Suppose 17 million dollars are available for providing immunization. What percentageof the susceptible population will not receive immunization?(iv) If money was not a problem will they be able to providing immunization to the entiresusceptible population?(2x2 – 4

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(a) 5x-3 - 4 (i) Lim x-+00 2x-2 +9 (x- 3)2 (ii) Lim 7- 2x – 3

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 92E

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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

Problem 4
(a)
5x-3 - 4
(i) Lim
x00 2x-2 +9
(x – 3)2
(ii) Lim
7- 2x - 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?
(2x²-4
(c) Determine the values of x for which the function f(x) = {x+ 2
x < 2
2 <x > 5
x 2 5
%3D
is discontinuous.

(a)
5x-3 - 4
(i) Lim
x-0 2x-2 +9
(x - 3)2
(ii) Lim
X00 x2
7- 2x - 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?
(2x2 – 4

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