3 years ago

4x-5=2x-3

Mathematics

1 answer:

Lemur [1.5K]3 years ago

7 0

X = 4 Hope You In Joy I Did The Math My Self

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) 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

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

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

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

8 0

4 years ago

Given that (-3,7) is on the graph of f(x), find the corresponding point for the function f(x + 5).

Stella [2.4K]

We have that
<span>(-3,7) is on the graph of f(x), find the corresponding point for the function
f(x + 5)

we know that
in the transformation f(x)-------> f(x+5)
the point (x.y) in f(x) becomes a point (x-5,y) in f(x+5)
so
(-3,7)-----------> becomes a point (-3-5,7)------> (-8,7)

the answer is
</span>(-8,7)<span>

</span>

7 0

3 years ago

Read 2 more answers

Fernando and Roger are both in an art class. Fernando has created 40 projects in class this year. Fernando has created five time

Natali [406]

40x5= 200 I'm not sure who created five times more projects than the other, but whoever did, created 200 projects.

3 0

4 years ago

Which expression is equivalent to 3/5x +3

Makovka662 [10]

3/5 c 3 + 3 is equivalently

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