MATH 1910 Final: MATH 191 Cornell Final Exam 02
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Please write your name, your professor"s name, and your section number on all of the exam booklets you use. Show all your work and put all your work in the exam booklet. Circle your nal an- swers and be sure that you have explained them. You do not have to simplify your answers. Good luck!: (20 pts) the population of a bacterial culture grows exponentially with rate constant k bac- If the initial population is p , how long will it take for the population to reach teria/sec. Find the volume of the solid: (10 pts each) evaluate the following limits. (a) (b) lim x 0+ lim x 0+ (cos x)1/x (sin x)1/x, (20 pts) let f (x) = ax2 + b (a 6= 0). Show that there is exactly one point c in the interval (0, 1) where f (x) satis es the conclusion of the mean value theorem for derivatives.
