Review3 - MAC 1147 Review 3 Spring 2011 Exam 3 covers...

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Unformatted text preview: MAC 1147 Review 3, Spring 2011 Exam 3 covers Lectures 18-26 1. Solve the inequalities. Give the answers in interval notation. (a) u1D465 + 4 2 − u1D465 < 3 (b) u1D465 − 3 u1D465 + 3 ≤ u1D465 + 3 u1D465 − 3 (c) log 4 u1D465 + log 4 ( u1D465 − 3) < 1 2. Solve the system: (a) uni007B.alt03 2 u1D465 − 3 u1D466 = − 2 3 u1D465 − 2 u1D466 = 12 (b) uni007B.alt03 u1D465 2 + u1D466 2 = 17 3 u1D466 − u1D465 = 1 (c) ⎧ ⎨ ⎩ 1 2 u1D465 − 2 3 u1D466 = − 2 − 3 u1D465 + 4 u1D466 = 12 3. Sketch the graph of the function u1D453 ( u1D465 ) = 2 − u1D452 − u1D465 − 1 . Find its domain, range, asymptote and at least one point. Is the function increasing or decreasing? 4. Find the domain, range, asymptote, intercepts and sketch the graph of the func- tion u1D466 = 2 − 2 log 2 ( u1D465 + 1). 5. Evaluate: (a) log 25 5 (b) log 2 1 2 (c) log 64 1 2 (c) ln u1D452 3 (e) log 1 3 81 6. Simplify, where it is possible. Give all restrictions on the variables: (a) log 3 9 log 5 25 (b) u1D452 3 ln u1D465 (c) log 10 2 u1D465 2 (d) log 4 2 u1D465 2 (e) 5 log 3 u1D465 (f) ln( u1D465 2 + u1D466 2 ) 7. Write as a single logarithm: (a) 5 log 2 − 3 log u1D465...
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Review3 - MAC 1147 Review 3 Spring 2011 Exam 3 covers...

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