The function below has two roots between x = -6 and x = 10. Use the bisection method to estimate the lesser root and the Newton-Raphson Method for the largest root, correct up to seventh decimal places f(x) = (x + 5)^3 - e^x

The concentration, C , of a certain drug in the bloodstream, t hours after injection, is given by the function C = at/1+(t/b)^2 where a and b are constants and a,b > 0. Given that the concentration reaches a maximum of 15 units after 6 hours, find the values of a and b .

Use differentials to approximate √16.5.

1) Use Bisection to find a root of the function f(x) = ln x-2 on the interval [7, 8] to within 1 decimal place. Organize the results of all the calculations in the table below. You don't need to write down more than 5 decimal places. f(a.) C₁ ƒ (c₁) b₁ f(b) a₁ Half Interval Length