The Height of a Hill (In Feet) Is Given by

question 71

Multiple Choice

The height of a hill (in feet) is given by where x is the distance (in miles) east and y is the distance (in miles) north of your cabin. If you are at a point on the hill 1 mile north and 1 mile east of your cabin, what is the rate of change of the height of the hill (a) in a northerly direction and (b) in an easterly direction?

• A)(a) 570 ft/mi, (b) 690 ft/mi
• B)(a) -570 ft/mi, (b) 690 ft/mi
• C)(a) 690 ft/mi, (b) 570 ft/mi
• D)(a) 690 ft/mi, (b) -570 ft/mi

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