Math_270_Test_5_Study_Guide - Math 270 Test 5 Study Guide...

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-5 5 5 Math 270 Test 5 Study Guide 1. Evaluate the following limits. a) 2 1 ln lim 1 x x x - b) 0 lim ln x x x + c) 3 1 sin lim x x x x - 2. A particle has position parameterized by ( ) 3 6 , ( ) 1 8 x t t y t t = + = - . a) How fast is the particle moving? b) Write the line as y = mx + b . c) Give a different parameterization of the line with the particle starting at the same point at t = 0 but moving twice as fast. 3. Parameterize each of the following curves. a) b) 4. Give upper and lower bounds for the following integrals using n = 50 subintervals. a) ( 29 12 2 7 3 2 t t dt - + b) 4 2 5 3 x e dx + - 5. Evaluate the following integrals: a) 9 7 ( ) f x dx - b) 1 9 ( ) f x dx - c) 15 7 ( ) f x dx - d) 15 1 ( ) f x dx - 6. 5 0 ( ) 7 f x dx = and 5 0 ( ) 4 g x dx = . Find the following integrals. a) 5 5 ( ) f x dx - with f(x) even. b) 3 3 ( ) g x dx - with g(x) odd c) 0 5 3 ( ) f x dx d) ( 29 5 0 2 ( ) 5 ( ) f x g x dx - 7. Jenny the cat is nine years old.
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This note was uploaded on 05/18/2011 for the course MATH 270 taught by Professor Vakarietis during the Summer '08 term at University of Louisiana at Lafayette.

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Math_270_Test_5_Study_Guide - Math 270 Test 5 Study Guide...

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