Mathematics 9709 · AS & A Level · Numerical solution of equations
Numerical solution of equations — practice question
It is stated that $\int_a^3 \frac{10}{2x+1} \, dx = 7$, with $a$ being a constant larger than 1.
(a)[5]
Show that $a = \sqrt[3]{0.5 e^{1.4}(2a + 1)} - 0.5$.
(b)[3]
Apply an iterative formula, based on the equation in part (a), to find $a$ correct to 3 significant figures. Begin with the initial value $2$ and give the outcome of each 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: “Find an integral in the form $k\ln(2x+1)$” …