9. Let t correspond to the number of months after January 15 with 0 ≤ t...

9. Let t correspond to the number of months after January 15 with 0 ≤ t ≤ 12. A mathematical model for the variation of the expected temperature during the year is given by T(t) = 20 − 2t(t − 12) in degrees Fahrenheit. What is the expected average temperature for the whole year in degrees Fahrenheit?

(a) 70°F (b) 66°F (c) 68°F (d) 72°F (e) None of the above.

10. Carbon 14 (C-14), a radioactive isotope of carbon, has a half-life of 5730 ± 40 years. Measuring the amount of this isotope left in the remains of animals and plants is how anthropologists determine the age of samples. Example: The skeletal remains of the so-called Pittsburgh Man, unearthed in Pennsylvania, had lost 82% of the C-14 they originally contained. Determine the approximate age of the bones assuming a half-life of 5730.

(a) 15,000 years (b) 14,000 years (c) 16,000 years (d) 17,000 years (e) 18,000 years

24. Assume that both f(x) and g(x) are polynomials. Which statement must always be true?

(a) Each of the derivatives (f(x)g(x))0 , (f(x)/g(x))0 , and (f(g(x))0 is a polynomial. (b) Each of the derivatives (f(x)g(x))0 , and (f(x)/g(x))0 , is a polynomial. (c) Each of the derivatives (f(x)g(x))0 , and (f(g(x))0 is a polynomial. (d) Each of the derivatives (f(x)/g(x))0 , and (f(g(x))0 is a polynomial. (e) None of the above four statements are true.

25. Determine the area of the region between x = −1, x = 2, f(x) = 3x 2 , and the x-axis.

(a) 48 (b) 9 (c) 27 (d) 16 (e) 2

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Expert Solution

milcah answered 2 years ago

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