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Find the equation representing the curve.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
For a curve, the gradient at a point $(x, y)$ is given by $\frac{dy}{dx} = x - 3x^{-\frac{1}{2}}$. The curve is known to pass through $(4, 1)$.
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This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “An accurate integration leading to $y=\frac{x^2}{2}-3x^2+\frac{1}{2}+c$ or an equivalent unsimplified form” …
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