Administration: 6982

The patient was given the drug, and the measured liver concentration was t hours after administration: c (t) = -0.025 t2 + 1.8t. When will the liver product be eliminated entirely?

Correct answer:

t =  72

Step-by-step explanation:

c(t)= 0,025 t2 + 1,8t c(t)=0  0,025t2+1,8t=0  0,025 t2+1,8t=0 0.025t2+1.8t=0 0.025t21.8t=0  a=0.025;b=1.8;c=0 D=b24ac=1.8240.0250=3.24 D>0  t1,2=2ab±D=0.051.8±3.24=36±1296 t1,2=36±36 t1=72 t2=0 t=t1=72

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