103AssignmentLab6Soln.pdf - MA103 Lab Report 6 Shapes of...

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MA103 Lab Report 6 - Shapes of Curves 1. [7marks] Evaluate the following limits. Indicate all indeterminate forms encountered and the points at which l’Hospital’srule is applied. Justify your answers by showing all your steps.x2x(b)limx→∞(x2+ 1)1/x2. 2. [5 marks] The amount of nitrogen dioxide, a brown gas that impairs breathing, present in the atmosphere on an averageJuly day in Toronto is approximated byA(t) =1361 + 0.25(t-4.5)2+ 28,0t13whereA(t) is measured in pollutant standard index (PSI) andtis measured in hours, witht= 0 corresponding to 6 am.Determine the highest level of nitrogen dioxide present on an average July day, as well as the time of day when this occurs.

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