184GRP3

184GRP3 - Math 184 Group Work 3 Instructions: Please work...

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Math 184 Group Work 3 Instructions: Please work on the following problems with your group. (This might just be the people sitting near you in class.) These problems are meant to be a bit diFcult, so please spend AT LEAST 15 minutes thinking about the assignment amongst your group before coming to ask me for help. There is a page of hints at the end of the assignment; if you have thought about a problem for AT LEAST 5 minutes and don’t see how to do it, then take a look at the hints. 1. Sketch a graph of the function y = f ( x ) = x 4 - 6 x 2 + 9 = ( x 2 - 3) 2 . Your graph should include x - and y - intercepts, intervals where f ( x ) is increas- ing, decreasing, concave up, concave down, and all local extrema and inFection points. (Remember: you do this by making sign charts for f ( x ) and f ′′ ( x ).) 1
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x and y so that x + 2 y = 100 and the product of x and y is maximal. 2
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184GRP3 - Math 184 Group Work 3 Instructions: Please work...

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