Directional derivatives tangent to a surface Let S be the

Chapter , Problem 21AAE

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Directional derivatives tangent to a surface Let S be the surface that is the graph of Suppose that the temperature in space at each point (x, y, z) is a. Among all the possible directions tangential to the surface S at the point (0, 0, 10), which direction will make the rate of change of temperature at (0, 0, 10) a maximum? b. Which direction tangential to S at the point (1, 1, 8) will make the rate of change of temperature a maximum?

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