7. For the graph below, find the following: a. lim f (x) = b. lim f (x) = X ->-00 X ->00 c. lim f (x) = d. lim f (x) = X-0 X->-4+ e. lim f (x) = f. f ( -4) = X-3 g. the X - values where the function is not continuous .5 -2 8. The concentration, C, in milligrams, of a certain drug in a patient's bloodstream t minutes after injection is given by C(t) = 50t What happens to the 12 + 25 concentration of the drug as time increases?ANSWERS 1. a. 1 b. x = -3, x =5 c. 2. X =0, X =-2, X =2 3. C=4 4. s'(t) =t-1/2 _10t-3 _81-1/3 + 5 5. 14.5 feet per second 6. g'(x) = -6x-3+13x-15/2 7. a. 3 b. oo c. -2 d. 2 e. 4 f. 2 g. -4, 0, 3 8. As time increases, the concentration of the drug is approaching zero milligrams. 9. 3 feet/second; 6 feet/second/second 10. a. f'(x) = 2x1/3 +15e-5x +1 dt b. y = 6cos(2t) - 4 sint 11. y =-8x +5 12. -0.06 mg/hour 13. -00 14. XO 15. -1.09 kilograms/hour 16. a. T(8) =101.8 F ; On day 8 the temperature of the person is 101.8 F. b. T'(8) = -0.4 'F per day; On day 8 the temperature of the person is decreasing by 0.4 'F per day. 17. Sales are increasing by 22.9 thousand units per month. 18. -4.468 'F per mph