Mathematics 9709 · AS & A Level · Numerical solution of equations
Numerical solution of equations — practice question
You are told that $\int_a^3 \frac{10}{2x+1}\,dx = 7$, with $a$ being a constant larger than 1.
(a)[5]
Show that the result is $a = \sqrt[3]{0.5e^{1.4}(2a+1)} - 0.5$.
(b)[3]
Use the iterative formula, derived from the equation in part (a), to determine the value of $a$ correct to 3 significant figures. Start from 2 and record every iteration to 5 significant figures.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Obtain an integral in the form $k\ln(2x+1)$” …