Q10. The height of a certain hill (in feet) is given by h(x, y) = 10(2xy-3x-4y- 18x + 28y + 12), where y is the distance (in miles) north, x the distance east of South Hadley. How steep is the slope (in feet per mile) at a point 1 mile north and one mile east of South Hadley? In what direction is the slope steepest, at that point?

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Q10. The height of a certain hill (in feet) is given by h(x, y) = 10(2xy- 3x2 - 4y² - 18x + 28y + 12), where y
is the distance (in miles) north, x the distance east of South Hadley. How steep is the slope (in feet per
mile) at a point 1 mile north and one mile east of South Hadley? In what direction is the slope steepest,
at that point?
Transcribed Image Text:Q10. The height of a certain hill (in feet) is given by h(x, y) = 10(2xy- 3x2 - 4y² - 18x + 28y + 12), where y is the distance (in miles) north, x the distance east of South Hadley. How steep is the slope (in feet per mile) at a point 1 mile north and one mile east of South Hadley? In what direction is the slope steepest, at that point?
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