Test 2 review S10

Test 2 review S10 - f has a local minimum at x = -3, a...

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MATH 122 Review sheet for Test #2 Spring 2010 Test #2: Tuesday, March 23. Optional review session Monday at 6:30 PM in LeConte 115. SI review on Sunday at _____________. Test covers sections 2.4, 2.5, 3.1 – 3.4, 4.1 – 4.4, as well as material covered on worksheets. Material from curve sketching worksheets may be asked in smaller parts. Test may include some multiple choice questions and/or true-false questions To prepare, complete the Wiley Plus assignments that are due a week from Sunday. Practice the differentiation problems on page 173 (except those involving trig functions.) In addition, here are a few sample problems. 1. Differentiate 4 2 ) 3 7 ( 5 ) ( x x x f - = . Simplify for EXTRA CREDIT. 2. Sketch the graph of x y = and the line tangent to the graph at x = 4. Write the equation of the tangent line you’ve drawn. Leave equation in point-slope form. 3. Sketch a graph of a function, f , with the following properties:
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Unformatted text preview: f has a local minimum at x = -3, a point of inflection at x = -1 and a local maximum at x 1. 4. Sketch a graph of a function, g , with the following properties: ) ( x g for x < 2, ) ( < x g for x > 2, and g (2) = 1. 5. Differentiate; do not simplify a. ( ) ln(2 1) f z z z = + b. 3 1 ( ) 3 3 3 t g t t t t = + + + c. t te t F 2 3 ) (-= 6. 3 2 ( ) 3 9 15 ( 5 4) f x x x x x =--+- is a continuous function on a closed interval. Find its global maximum and global minimum values. ( Show work, using only the values which must be considered.) 7. At a price of $8 per ticket, a community theater group can fill every seat in the theater, which has a capacity of 1500. For each additional dollar charged, the number of people buying tickets decreases by 75. What ticket price maximizes revenue?...
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This note was uploaded on 09/28/2011 for the course MATH 122 taught by Professor Kustin during the Spring '08 term at South Carolina.

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Test 2 review S10 - f has a local minimum at x = -3, a...

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