MAC 2311 Midterm: MAC 2311 FIU Exam 209k
15 Feb 2019
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Prof. s. hudson: (5pts each) calculate the derivative of f (any valid method is ok. Use this de nition to prove (check) that f (x) = x3 is continuous at x = 2. This should be quick - you can use any known facts about polynomials and limits (no epsilon stu required): (10pts) use a local linear approximation to approximate 24, (10pts) a 13 foot ladder is leaning against a wall. If the bottom of the ladder is pulled along the ground away from the wall at a constant rate of. [note: 122 + 52 = 132: (10pts) compute the limit using lhr lim x 0. X + 4 2 ex 1. Remember to explain everything: state and prove the usual formula for (f 1) (x), state and prove the power rule (but only the rst version, for n =
