Question: (a) A function is defined implicitly by x 3 + 2xy + y 4 = 61 Verify that the point (2, 3) lies on this

(a) A function is defined implicitly by
x³ + 2xy + y⁴ = 61
Verify that the point (−2, 3) lies on this curve and find the gradient at this point.
(b) Find and classify the stationary point on the surface defined by
z = 4x² − xy + 3y² − 8x + y + 3

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