MAC 2311 Midterm: MAC 2311 FIU c1 Test 2 aFall 07
15 Feb 2019
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Use correct notation when presenting your computations and. You may use any of the rules of differentiation that are at your disposal. Do not attempt to simplify the algebra in your answers. Show me all the magic on the page. 25t 20 (d) y csc(cot(2 1)) dy d csc(cot(2 1))cot(cot(2 1))( 1)(csc 2(2 1))(2) (e) 2 dl dz (z) sin(4z 8) (32z 7) Prove that if a and b are positive, then the equation a b x. 0 has at least one solution in the interval (1,3). Let f(x) = a/(x-1) + b/(x-3) for 1 < x < 3. To show that this number is in the interval (1,3), we observe that if a > 0 and b > 0, [this last is required to completely answer the question as it was asked. ] _____________________________________________________________________: (10 pts. ) (a) provide the precise mathematical definition of continuity of a function f(x) at a point x = a.
