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Find the $x$-coordinate of $M$, expressed in terms of $a$.
Mathematics 9709 · AS & A Level · Vectors
Vectors — practice question
The diagram illustrates the curve given by $x^3 + xy^2 + ay^2 - 3ax^2 = 0$, where $a$ is a positive constant. The highest point on the curve is $M$.
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This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State $2ay\dfrac{dy}{dx}$ as the differentiated result of $ay^2$” …
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