The reaction rate to a new drug is given by the following function where t is ti

Question

The reaction rate to a new drug is given by the following function where t is time (in hours) after the drug is administered. y= e-t2 + T + 5 Find the total reaction to the drug from t = 0 to t = 8 by letting n = S and using the trapezoidal rule. (Round the final answer to three decimal places as needed. Round all intermediate values to four decimal places as needed.) Find the total reaction to the drug from t = 0 to t = 8 by letting n = 8 and using Simpson's rule. (Round the final answer to three decimal places as needed. Round all intermediate values to tour decimal places as needed.)

Explanation / Answer

y=exp(-t)+(5/(t+5)) n=8 a=0 b=8 so h=(b-a)/n=1 so the points are 0,1,2,3,4,5,6,7,8 so using trapezoid rule, integral value=(1/2)*[y(0)+2*y(1)+2*y(2)+.....+y(8)]=2.6237 rounding to 3 places after decimal, answer=2.624 using simpon's rule: integral value=(1/3)*[y(0)+4*y(1)+2*y(2)+....+2*y(6)+4*y(7)+y(8)]=2.592

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.