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3 years ago

9

Express each of the following problems algebraically

1 answer:

serg [7]3 years ago

7 0

Sent a picture of the solutionsolution to the problem (s).

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Find the maximum rate of change of f(x,y,z=x y/z at the point (2, -3, 5 and the direction in which it occurs. maximum rate of ch

kherson [118]

$f(x,y,z)=x+\dfrac yz$
$\implies \nabla f(x,y,z)=\left(1,\dfrac1z,-\dfrac y{z^2}\right)$
$\implies \nabla f(2,-3,5)=\left(1,\dfrac15,\dfrac3{25}\right)$

The maximum rate of change is then

$\|\nabla f(2,-3,5)\|=\dfrac{\sqrt{659}}{25}$

which occurs in the direction of $\nabla f(2,-3,5)$ above.

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3 years ago

Solve:<br><br>2x + 6 = 10......

Luda [366]

Answer:

x=2

Step-by-step explanation:

2x+6=10

2x=10-6

2x=4

x=4/2

x=2

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3 years ago

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HELP ME HOW DO I DO THIS I ALWAYS GET IT WRONG I NEED HELP AND NEED TO KNOW HOW YOU DID IT PLEASEEEEEEEE

seraphim [82]

Answer:

Step-by-step explanation:

The surface area of a rectangular prism has six sides so you must find the sum of the areas of all sides.

A=2xy+2xz+2yz

A=2(xy+xz+yz) you have x,y,z as 3,2,4 so

A=2(3(2)+3(4)+2(4))

A=2(6+12+8)

A=2(26)

A=52 cm^2

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2 years ago

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What’s the slope of the line on the graph?

Anuta_ua [19.1K]

The slope would be 2x

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2 years ago

Help (don’t explain) just need the answer

Sergeeva-Olga [200]

Answer:

Step-by-step explanation: I think it’s option D, f(X) shifts 3 units to the right .

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3 years ago

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