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3 years ago

Can I get provided with an explanation of how to work this out as well with the answer please ?

Mathematics

1 answer:

Yakvenalex [24]3 years ago

4 0

Ummmmmmmmmmmmmmmmmmmmm ummmm uhhhhgh

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What is 2x +3y+6x+9y

shusha [124]

Combine like terms to get 2x + 6x which is 8x and 3y + 9y which is 12y so the simplified answer is 8x + 12y

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3 years ago

Suppose a tub has the shape of an elliptical paraboloid given by z = ax2+by2 (where a, b are some positive constants). If a marb

Umnica [9.8K]

Answer:

It would roll in this direction.

$\nu = (-a/\sqrt{a^2+b^2},-b/\sqrt{a^2+b^2})$

Step-by-step explanation:

It would roll to the direction of maximum decrease, which is the -1 times the direction of maximum increase, which is given by the gradient of the function.

Since

$z = ax^2 + by^2$

For this case, the gradient of your function would be

$\nabla z = (2ax , 2by)$

And -1 times the gradient of your function would be

$-\nabla z = (-2ax , -2by)\\$

Then, at

$(1,1,a+b),\\x = 1 \\y = 1$

So it would go towards

$v = (-2a,-2b)$

The magnitud of that vector is

$|v| = 2\sqrt{a^2+b^2}$

and to conclude it would roll in this direction.

$\nu = (-a/\sqrt{a^2+b^2},-b/\sqrt{a^2+b^2})$

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3 years ago

The length of a rectangle is 4 inches more than its widith. The area of the rectangle is equal to 4 inches less than 3 times the

zepelin [54]

Length is 14
width is 10

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3 years ago

I need help with this

kvv77 [185]

Answer:

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Step-by-step explanation:

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3 years ago

The least positive value x for which tangent x equals 0tanx=0 is

Serggg [28]

The only value for x to make tanx = 0 is either 0 or 180 or 0 or pi.

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2 years ago

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