Let z = f(x, y) = 10x²y – 5x² – 4y? – x* – 2y*. | (a) Draw the graph of the function. (b) Draw the contour plot of the function. Point out the lo treme and the saddle point on that figure.

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I'm in need of explicit solution for problem c) for my linear algebra report. Thank you

Let z = f(x, y) = 10x?y – 5x² – 4y? – x4 – 2y4.
(a) Draw the graph of the function.
(b) Draw the contour plot of the function. Point out the local ex-
treme and the saddle point on that figure.
(c) Find the exact local extreme and saddle point (using calculus
technique).
Transcribed Image Text:Let z = f(x, y) = 10x?y – 5x² – 4y? – x4 – 2y4. (a) Draw the graph of the function. (b) Draw the contour plot of the function. Point out the local ex- treme and the saddle point on that figure. (c) Find the exact local extreme and saddle point (using calculus technique).
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