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Quiz3num2

# Quiz3num2 - y = f x that passes through the...

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Math21a Quiz#3 Dec 4, 2007 Sec 6-7pm Print Your Name Sign Your Name You have 30 minutes. Each problem is worth 10 points. Showing as much work as possible will guarantee the most credit. Partial credit will be given 1

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1 . Find the extreme values of the function and where they occur. y = cos - 1 ( x 2 ) 2
2 . Locate and identify the absolute extreme values of a. ln(cos( x )) on [ - π/ 4 , π/ 3], b. cos(ln( x )) on [1 / 2 , 2] 3

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3 . Sketch the graph of a twice-differentiable function
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Unformatted text preview: y = f ( x ) that passes through the points (-2,2), (-1,1), (0,0), (1,1) and (2,2) and whose ±rst two derivatives have the following sign patterns: 4 4 . Show that if r ( x ) = 6 x and c ( x ) = x 3-6 x 2 + 15 x are your revenue and cost functions, then the best you can do is break even (have revenue equal cost). 5...
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Quiz3num2 - y = f x that passes through the...

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