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Consider a scalar function h(x, y) y² hoe a2 2+2 The graph of this function looks like a hill or a mountain. Find the gradient of this function. Where (in terms of x and y coordinates) is the slope the steepest? How steep is the steepest slope on this hill? How high up the hill (in terms of ho) is the point of the steepest slope? I 6 2 0 0 5 -5 5

Consider a scalar function h(x, y) y² hoe a2 2+2 The graph of this function looks like a hill or a mountain. Find the gradient of this function. Where (in terms of x and y coordinates) is the slope the steepest? How steep is the steepest slope on this hill? How high up the hill (in terms of ho) is the point of the steepest slope? I 6 2 0 0 5 -5 5

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Consider a scalar function h(x, y) y² hoe a2 2+2 The graph of this function looks like a hill or a mountain. Find the gradient of this function. Where (in terms of x and y coordinates) is the slope the steepest? How steep is the steepest slope on this hill? How high up the hill (in terms of ho) is the point of the steepest slope? I 6 2 0 0 5 -5 5
Transcribed Image Text:Consider a scalar function h(x, y) y² hoe a2 2+2 The graph of this function looks like a hill or a mountain. Find the gradient of this function. Where (in terms of x and y coordinates) is the slope the steepest? How steep is the steepest slope on this hill? How high up the hill (in terms of ho) is the point of the steepest slope? I 6 2 0 0 5 -5 5
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