0.051 C(t)= - (t + 4)* 5. The concentration of a drug in a patient's bloodstream is given by C is in mg/mL and t is in hours. Find the maximum and minimum concentrations for where 1si55

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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0.051
C(t)=-
(1 + 4)* , where
5. The concentration of a drug in a patient's bloodstream is given by
C is in mg/mL and 1 is in hours. Find the maximum and minimum concentrations for
6. A rectangular piece of cardboard has dimensions of 80 cm by 120 cm. If identical squares are
cut out of each corner and the sides are folded up, find the dimensions that would maximize
the volume of the box created. Show the valid domain in your response.
7. A cylindrical can with a volume of 250 cm’ will be manufactured with metal for the top and
bottom that costs 0.5 cents/cm' and a different metal for the sides that costs 0.3 cents/cm'. If
0<r<4 cm, what dimensions (radius and height) will minimize the cost of this
can?
Transcribed Image Text:0.051 C(t)=- (1 + 4)* , where 5. The concentration of a drug in a patient's bloodstream is given by C is in mg/mL and 1 is in hours. Find the maximum and minimum concentrations for 6. A rectangular piece of cardboard has dimensions of 80 cm by 120 cm. If identical squares are cut out of each corner and the sides are folded up, find the dimensions that would maximize the volume of the box created. Show the valid domain in your response. 7. A cylindrical can with a volume of 250 cm’ will be manufactured with metal for the top and bottom that costs 0.5 cents/cm' and a different metal for the sides that costs 0.3 cents/cm'. If 0<r<4 cm, what dimensions (radius and height) will minimize the cost of this can?
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