(a) (i) Lim 5x −3 − 4/ 2x −2 + 9 x→∞ (ii) Lim (x − 3) 2/x2/2 − 2x − 3 x→∞
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(a)
(i) Lim 5x −3 − 4/ 2x −2 + 9
x→∞
(ii) Lim (x − 3) 2/x2/2 − 2x − 3
x→∞
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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