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Quiz for MTH 122 - Calc with Analytic Geom II with Bannon at Essex County College (ESSEX)

Quiz Information

Material Type:Quiz 7
Professor:Bannon
Class:MTH 122 - Calc with Analytic Geom II
Subject:Mathematics
University:Essex County College
Term:Spring 2005
Keywords:
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  • You Have...
  • Mathematics
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MTH 122 - Spring - 2005 Essex County College - Division of Mathematics Quiz # 7.b1 - March 8, 2005 Name: Signature: Show all work clearly and in order, and box your final answers. Justify your answers algebraically whenever possible. You have 20 minutes to take this 10 point quiz. When you do use your calculator, sketch all relevant graphs and write down all relevant mathematics. 1. Integrate. integraldisplay ysinhy dy Solution: Integration by parts. u = y sinhy dy = dv du = dy coshy = v integraldisplay ysinhy dy = ycoshy? integraldisplay coshy dy = ycoshy?sinhy + C 2. Evaluate. integraldisplay e ?e x5 x dx Solution: Integration by parts. u = x 5x dy = dv du = dx 5 x ln5 = v integraldisplay x5x dx = x5 x ln5 ? integraldisplay 5x ln5 dx = x5x ln5 ? 5x (ln5)2 + C So, integraldisplay e ?e x5 x dx = x5x ln5 ? 5x (ln5)2 vextendsinglevextendsingle vextendsinglevextendsingle e ?e = parenleftbigge5e ln5 ? 5e (ln5)2 parenrightbigg ? parenleftBigg? e5?e ln5 ? 5?e...
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