Alake polluted by bacteria is treated with an antibacterial chemical. aftertdays, thenumber n of bacteria per milliliter of water is approximated byn(t) = 20(t12−ln(t12))+ 30for 1≤t≤15.a. when will the number of bacteria be a minimum? b. what is the minimum number of bacteria during this time? c. when will the number of bacteria be a maximum? d. what is the maximum number of bacteria during this time?

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First locate the turning point (vertex) of the graph. which is at the coordinates x=5 and y=9 or (5; 9).to determine whether it's a maximum or mininum value, you have to discern whether the vertex's y-value is the highest value or lowest value the graph can reach. since the vertex's y-value, 9 is the highest value the graph can reach, it will be a maximum.another basic way to determine whether the vertex's value is max or min is to see if the graph is smiling or sad. if it's smiling, the turning point/vertex would be a minimum, while a sad parabola would have a maximum y-value at the vertex.