Use series to evaluate the limit correct to three decimal places.
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d. 114.333
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Find the area of the shaded region. y = sec2 x
A. 2 - 
B. 1 - 
C. 1 + 
D. 
Solve the problem.The amount of money, in billions of dollars, spent on health care that was covered by insurance in a certain country in a particular year can be approximated by the function 
where x represents the number of years after 1995. The amount of money, in billions of dollars, spent on health care that was paid out of pocket in a certain country in a particular year can be approximated by the function 
where again x represents the number of years after 1995. (i) Find (f - g)(x). Explain, in your own words, what this function represents.(ii) Find (f -
g)(55). Explain, in your own words, what this number represents. A. (i) (f - g)(x) = x2 + 14x + 151; this is the difference between health-care costs covered by insurance and health-care costs that are paid out of pocket, in billions of dollars, x years after 1995. (ii) 3946; health-care costs covered by insurance will be $3,946,000,000,000 higher than health-care costs that are paid out of pocket in 2050. B. (i) (f - g)(x) = x2 + 14x + 151; this is the difference between health-care costs that are paid out of pocket and those that are covered by insurance, in billions of dollars, x years after 1995. (ii) 3946; health-care costs covered by insurance will be $3,946,000,000,000 less than health-care costs that are paid out of pocket in 2050. C. (i) (f - g)(x) = x2 - 24x - 435; this is the difference between health-care costs covered by insurance and health-care costs that are paid out of pocket, in billions of dollars, x years after 1995. (ii) 1270; health-care costs covered by insurance will be $1,270,000,000,000 higher than health-care costs that are paid out of pocket in 2050. D. (i) (f - g)(x) = x2 - 24x - 435; this is the difference between health-care costs that are paid out of pocket and those that are covered by insurance, in billions of dollars, x years after 1995. (ii) 1270; health-care costs covered by insurance will be $1,270,000,000,000 less than health-care costs that are paid out of pocket in 2050.
Add and simplify.
+ 
+ 
A. 
B. 
C. 
D. 
Choose the right conclusion for the given statement and premise.
Black-or-White (False Dilemma) Fallacy We must follow a map or we will get lost. Premise: Either we follow a map or we get lost. a. Conclusion: We will not get lost if we follow a map. b. Conclusion: We must always follow a map. c. Conclusion: A map will not let us get lost. d. Conclusion: We will get lost.