Provide an appropriate response.Find the direction in which the function is increasing most rapidly at the point P0.f(x, y, z) = xy - ln(z), P0(1, -2, 2)

A. (-4i - 2j + k)
B. (-4i + 2j - k)
C. (-4i + 2j - k)
D. (-4i + 2j - k)


Answer: D

Mathematics

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Provide an appropriate response.The length of a screw is 4.275 in. Represent this length as a mixed number.

A.
B.
C.
D.

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Write the number in scientific notation.415.4

A. 4.154 × 102 B. 4.154 × 10-2 C. 4.154 × 10-1 D. 4.154 × 101

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Minimize subject to the given constraints. ? ? Separate the minimum value and the point with a comma. Enter the point using coordinate notation: (x, y).

What will be an ideal response?

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Solve the problem. Round your answer to three decimals.How long will it take for an investment to double in value if it earns 4.25% compounded continuously?

A. 25.85 years B. 17.715 years C. 16.309 years D. 8.155 years

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