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Unformatted text preview: Practice Midterm Math 31B Student ID : First Name: Last Name: There are a total of 5 problems. SHOW YOUR WORK ON ALL PROBLEMS. Please write clearly. Instructions: ∙ There are 5 problems. Make sure you are not missing any pages. ∙ Give complete, convincing, and clear answers (or points will be deducted). ∙ No calculators, books, or notes are allowed. ∙ Turn oﬀ your cell-phone, pager,... ∙ Start when told to; stop when told to. 1. Consider the following function: ( )= (i) Show that 1+2 . is invertible on its domain. and ﬁnd the function
−1 (ii) Find the range of . 2. Compute the following limit: lim 1 sin 1 − . →0 3. Find the the following antiderivatives: (i) (ii)
4 (ln )2 . . sin 4. Find the solution to ′ = 3 satisfying (2) = 4. 5. Solve the following equation for :
2 − − 6 = 0. ...
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This note was uploaded on 02/21/2010 for the course ECON 180-004-20 taught by Professor Bresnock during the Fall '09 term at UCLA.
- Fall '09