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1 answer:
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Answer:
1) gradient of f = (1/y)i+(-x/y^2)j
2) rate of change of f at P in direction of v = i - 1/16 j
3) maximum rate of change at P= (√17)/16
4) unit vector of maximum rate of change = 4/√17 i + 1/√17 j
Step-by-step explanation:
The explanation can be found in the attached picture
Note:
Since the gradient vector represents the direction of maximum change:
3) The maximum rate of change is the modulus of the gradient vector
4) The unit direction vector of maximum rate of change is the unit gradient vector.
