Modelling a Drug Overdose In the next two problems, we use experimental results from a research publication to model acetaminophen overdose. The paper Mathematical modeling of liver injury and dysfunction after acetaminophen overdose. Early discrimination between survival and death models liver damage caused by the acetaminophen overdose. The first in the system of differential equations studied dA(1) = A(1) H(1) - 6.A(1) dt Hmax models the amount A() of acetaminophen over time (measured in hours). Experimental results produced the formula H() = 0.17(cos 3.7/) for the number of functional hepatocytes; these hepatocytes contribute to the decrease in A(t). With this formula for 1(), the differential equation for A() becomes dA(t) . 0.17 . (cos 3.71)2 . A(1) - 6.A(1) dt Hmax Assume that A(0) = 10". The parameter values are a = 6.5, Hmax = 1.5, and ba = 0.22. Problem 3 (1 point): Use Euler's method with the step size Ar = 0.002 to find an approximation of A(7), where your value of /" is given in the statement of Problem 3 in Childsmath. Round off to the nearest integer. Problem 4 (0.5 points): Plot your approximation of the graph of A() for 0