2. (12 points) The contour map of the function $z = f(x, y)$ is shown. Use the contour map to estimate the value of each partial derivative. $z = -9$ $z = -4$ $z = -1$ $z = 1$ $z = 4$ $z = 9$
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The contour lines near P are $z = 4$ and $z = 9$. The distance between these contour lines in the x-direction is approximately 0.5. The distance between these contour lines in the y-direction is approximately 0.5. The change in z is $\Delta z = 9 - 4 = 5$. Show more…
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