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exam2practice

# exam2practice - 3 ft/sec How fast does the top of the...

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Math 2250 Exam #2 Practice Problems 1. Let u ( x ) = p f ( x ) and suppose f (3) = 1, f 0 (3) = 8, and f 00 (3) = - 2. What is the value of u 00 (3)? 2. Let f ( x ) = 1 2 sin( x 2 ) cos( x 2 ). What is f 0 q 5 π 6 ? 3. Suppose you’ve leaned a 10 foot ladder against a vertical wall, but haven’t properly secured the bottom of the ladder. Before you can climb onto the ladder, the bottom starts to slide away from the wall at
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Unformatted text preview: 3 ft/sec. How fast does the top of the ladder slide down the wall when the bottom is 6 feet from the wall? 4. What is the tangent line to x 3 + y 3 = 6 xy at (3 , 3)? 5. Suppose y = x 1 /x . What is dy dx ? 6. Use a linearization of an appropriate function to estimate ln(0 . 9). 1...
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