Math_270_Test_2_Study_Guide - 2. 3. 4. 5. x e x f = ) ( 6....

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Math 270 Test 2 Study Guide I. Word problems 1. A serial killer’s reign of terror can be modeled by x x M 2 ) ( = where M is the total number of murders after x days. Find the AROC of M(x) for x = 0 to x = 9. What does this AROC tell you about the murders? 2. The number of fleas on a dog can be approximated by x x f ) 5 . 3 ( 2 ) ( = where x is the number of weeks since its flea medicine wore off. a) What does 300 ) 4 ( f mean in terms of fleas on the dog? b) Estimate ) 4 ( ' f (to a whole number). What does this value mean for fleas on the dog? II. Use the graph of f(x) below to list the following quantities from largest to smallest: ) ( ' A f the IROC at D the AROC from C to E the slope at B zero III. For each of the following, give the signs of ) ( ' x f and ) ( ' ' x f . 1.
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Unformatted text preview: 2. 3. 4. 5. x e x f = ) ( 6. x x f ) 5 . ( 2 ) ( = 7. f(x) is the price of as share of stock at time x , and . a) the price of the stock is rising faster and faster. b) the price of the stock is close to bottoming out. IV. For each of the following functions, sketch the derivative. V. Assume f(x) is defined at x = a . State the three things that can make f(x) not differentiable at x = a . Sketch a graph for each one. VI. Use limits to find ) ( ' a f for the given f(x) and a . Show your work! You may use the power rule only to check your answer. 1. x x f / 1 ) ( = , a = 9 2. 2 ) (-= x x f , a = 8 x 1 2 3 f(x) 10 7 5 4 x 1 2 3 f(x)-5 3 5 A D B C E...
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