The height of a hill (in feet) is given by h(r, y) = 15(16 - 4x2 - 3y? + 2xy+28x - 18y) where r is the distance (in miles) east and y the distance (in miles) north of Bolton. (a) In what direction is the slope of the hill steepest at the point 2 miles north and 3 miles west of Bolton? (b) What is the steepest slope at that point?

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The height of a hill (in feet) is given by h(x, y) = 15(16 – 4x2 – 3y2 + 2xy + 28x – 18y) where a is the distance
(in miles) east and y the distance (in miles) north of Bolton.
-
(a) In what direction is the slope of the hill steepest at the point 2 miles north and 3 miles west of Bolton?
(b) What is the steepest slope at that point?
Transcribed Image Text:The height of a hill (in feet) is given by h(x, y) = 15(16 – 4x2 – 3y2 + 2xy + 28x – 18y) where a is the distance (in miles) east and y the distance (in miles) north of Bolton. - (a) In what direction is the slope of the hill steepest at the point 2 miles north and 3 miles west of Bolton? (b) What is the steepest slope at that point?
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