| Exam Board | OCR |
|---|
| Module | Further Additional Pure AS (Further Additional Pure AS) |
|---|
| Year | 2022 |
|---|
| Session | June |
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| Topic | Differentiation Applications |
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| Type | Find stationary points |
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2 The surface \(S\) has equation \(z = x ^ { 3 } + y ^ { 3 } - 2 x ^ { 2 } - 5 y ^ { 2 } + 3 x y\).
It is given that \(S\) has two stationary points; one at the origin, \(O\), and the other at the point \(A\).
Determine the coordinates of \(A\).