3 years ago

Y=x+5 y=-2x-4 use substitution

Mathematics

1 answer:

blondinia [14]3 years ago

7 0

You have to do Y= -2+5-4

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Divide (6m3 �� 27m2 8m �� 20) by (m �� 5). what is the remainder?

elena-14-01-66 [18.8K]

The remainder is or answer is 6

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3 years ago

) Set up a double integral for calculating the flux of F=3xi+yj+zk through the part of the surface z=−5x−2y+2 above the triangle

Fynjy0 [20]

The surface (call it $S$ ) is a triangle with vertices at the points

$x=0,y=0\implies z=2\implies(0,0,2)$

$x=0,y=2\implies z=-2\implies(0,2,-2)$

$x=2,y=0\implies z=-8\implies(2,0,-8)$

Parameterize $S$ by

$\vec s(u,v)=(1-v)(2,0,-8)+v\bigg((1-u)(0,2,-2)+u(0,0,2)\bigg)=(2-2v,2v-2uv,-8+6v+4uv)$

with $0\le u\le1$ and $0\le v\le1$ . Take the normal vector to $S$ to be

$\vec s_v\times\vec s_u=(20v,8v,4v)$

Then the flux of $\vec F$ across $S$ is

$\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\int_0^1\int_0^1\vec F(x(u,v),y(u,v),z(u,v))\cdot(\vec s_v\times\vec s_u)\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^1\int_0^1(6-6v,2v-2uv,-8+6v+4uv)\cdot(20v,8v,4v)\,\mathrm du\,\mathrm dv$

$=\displaystyle8\int_0^1\int_0^1(11v-10v^2)\,\mathrm du\,\mathrm dv=\boxed{\frac{52}3}$

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3 years ago

Alain throws a stone off a bridge into a river below.

harkovskaia [24]

the answer is 3 seconds

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3 years ago

1/8 divided by 11/4 in a fration

lisabon 2012 [21]

Answer:

The answer is 1/22.

Step-by-step explanation:

→ (1/8) ÷ (11/4)

→ (1/8) × (4/11)

→ (1×4)/(8×11)

→ 4/88

→ 1/22 [Simplest form]

Thus, 1/22 is the solution.

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3 years ago