A body assimilates a 12-hour cold tablet at a rate modeled by $\frac { d C } { d t } = 6 - \ln \left( t ^ { 2 } - 2 t + 4 \right)$ , $0 \leq t \leq 12$ where t is measured in milligrams per hour and t is the time in hours. Use Simpson's Rule with n = 12 to estimate the total amount of the drug absorbed into the body during the 12 hours.
A)46.88
B)64.90
C)34.88
D)36.90
E)50.90

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The Answer of A body assimilates a 12-hour cold tablet at a rate modeled by $\frac { d C } { d t } = 6 - \ln \left( t ^ { 2 } - 2 t + 4 \right)$ , $0 \leq t \leq 12$ where t is measured in milligrams per hour and t is the time in hours. Use Simpson's Rule with n = 12 to estimate the total amount of the drug absorbed into the body during the 12 hours.
A)46.88
B)64.90
C)34.88
D)36.90
E)50.90

A Body Assimilates a 12-Hour Cold Tablet at a Rate dCdt=6−ln⁡(t2−2t+4)\frac { d C } { d t } = 6 - \ln \left( t ^ { 2 } - 2 t + 4 \right)dtdC​=6−ln(t2−2t+4)

A Body Assimilates a 12-Hour Cold Tablet at a Rate $\frac { d C } { d t } = 6 - \ln \left( t ^ { 2 } - 2 t + 4 \right)$