∇f = λ∇g gives us the equations 4xy = 4λx, 2x2 = 8λy. The first equation implies that x = Incorrect: Your answer is incorrect. o
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Answer:
along the direction 68.19° from north.
Step-by-step explanation:
Given,
- speed of the boat, u= 2 miles/hour along north
- speed of the river, v= 5 miles/ hour along east
Since, north and east are perpendicular to each other, so we can write the resultant velocity in vector form as,
Hence, the magnitude of resultant velocity can be written as
Hence, the magnitude of resultant vector is \sqrt{29} moles/hour.
And the direction of the boat can be given by,
= 68.19°
Hence, the resultant velocity of boat is miles/hour along the direction making an angle 68.19° with the north.