(a) (i)Limx→∞5x−3− 4÷ 2x−2 + 9 (ii) Limx→∞(x − 3)2 ÷ x2/2 − 2x − 3
(a)
(i)Limx→∞5x−3− 4÷ 2x−2 + 9
(ii) Limx→∞(x − 3)2 ÷ x2/2 − 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 would be approximately
C(x) =1.85x /100 − x million dollars.
(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?
(c) Determine the values of x for which the function
f(x) = 2x2 − 4 x < 2
x+2 2 < x > 5
7 x ≥ 5 is discontinuous.
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