Mathematics 9709 · AS & A Level · Numerical solution of equations

Numerical solution of equations — practice question

The diagram displays the curve $y = 10e^{-\frac{1}{4}x} \sin 4x$ for $x \geq 0$. The stationary points are marked $T_1$, $T_2$, $T_3, \ldots$ as illustrated.
(i)[6]

Find the $x$-coordinates of $T_1$ and $T_2$, with each $x$-coordinate correct to $3$ decimal places.

(ii)[4]

You are told that the $x$-coordinate of $T_n$ exceeds $25$. Find the least possible value of $n$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: Application of product or quotient rule

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