2 years ago

Help plssssssssssssssssss

Mathematics

1 answer:

Shtirlitz [24]2 years ago

4 0

Answer:

3) Not equivalent

4) Equivalent

5) Equivalent

(Multiply by two for the last two questions)

You might be interested in

) 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

3 years ago

Please please help me

jonny [76]

i dont really know.....

8 0

2 years ago

Simplify 4a²+1/3a+5+a²+4+1/3a

vladimir2022 [97]

Answer:

$5a^2+\frac{2a}{3} + 9$

Step-by-step explanation:

Refer to file. Trying something different. Should be easier to read than text format and is easier than mathML.

7 0

2 years ago

What is 59m • tan 46

kotykmax [81]

59m • tan 46 is -123.110198 meters.

5 0

2 years ago

Marvin buys a hose that is 27 3/4 feet long He already owns a hose at home that is 2/3 the length of the new hose How many total

Kazeer [188]

Marvin has 15 5/12 yards.

5 0

2 years ago

Read 2 more answers