Plz help will give brilliant

Mathematics

2 answers:

Zina [86]2 years ago

6 0

Answer:

Step-by-step explanation:

kolezko [41]2 years ago

3 0

Answer:

The answer is B

Step-by-step explanation:

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X+1/3y=4 in slope intercept form EXPLAIN

shepuryov [24]

Answer:

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To convert this equation to slope-intercept form, solve for

Subtract

from both sides.

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Simplify

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Multiply both sides times

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(

)

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(

)

Simplify.

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Rearrange the right side.

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Multiply both sides times

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and

Step-by-step explanation:

6 0

2 years ago

Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 4y sqrt (x) , (4, 5) max

liubo4ka [24]

Answer:

Remember that the maximum rate of change of f at a point u is the length of the of the gradient vector evaluate in u, and the direction in which it occurs is in direction of the gradient vector evaluate in u.

The gradient vector of f is

$\triangledown f(x,y)=(\frac{\partial f}{\partial x},\frac{\partial f}{\partial y})=(2yx^{-\frac{1}{2}}, 4\sqrt x)$

Then, the maximum rate of change is $|\triangledown f(4,5)|=|(2*5*4^{-\frac{1}{2}}, 4\sqrt 4)|=|(5,8)|=\sqrt{5^2+8^2}=\sqrt89$ in the direction of (5,8).