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2 years ago

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Your teacher finds a catalog that sells posters for $2 each. There is an additional charge of $4 to ship and order. Suppose that

your class paid $54 for posters.

1 answer:

mixer [17]2 years ago

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3 years ago

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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

Find the roots. 2x ^2 + 4x - 5 =0

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Literally the roots equal 0. Is that “X” or the multiplication sign? Because I did it with “X” and it gave me “0”

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How do you solve the equation (X+3)^3=81

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$(x+3)^3=81\\
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How do you write the equation 0=x+1 in standard form

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x=-1

Step-by-step explanation:

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