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2 years ago

14.3-352-2 i need helppppp

Mathematics

2 answers:

Makovka662 [10]2 years ago

7 0

Answer:

-339.7

Step-by-step explanation:

quickmaths

inessss [21]2 years ago

3 0

Answer: 335.7

Step-by-step explanation:

If the problem is

14.3

-352

———

335.7

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G find the area of the surface over the given region. use a computer algebra system to verify your results. the sphere r(u,v) =

Svetach [21]

Presumably you should be doing this using calculus methods, namely computing the surface integral along $\mathbf r(u,v)$ .

But since $\mathbf r(u,v)$ describes a sphere, we can simply recall that the surface area of a sphere of radius $a$ is $4\pi a^2$ .

In calculus terms, we would first find an expression for the surface element, which is given by

$\displaystyle\iint_S\mathrm dS=\iint_S\left\|\frac{\partial\mathbf r}{\partial u}\times\frac{\partial\mathbf r}{\partial v}\right\|\,\mathrm du\,\mathrm dv$

$\dfrac{\partial\mathbf r}{\partial u}=a\cos u\cos v\,\mathbf i+a\cos u\sin v\,\mathbf j-a\sin u\,\mathbf k$
$\dfrac{\partial\mathbf r}{\partial v}=-a\sin u\sin v\,\mathbf i+a\sin u\cos v\,\mathbf j$
$\implies\dfrac{\partial\mathbf r}{\partial u}\times\dfrac{\partial\mathbf r}{\partial v}=a^2\sin^2u\cos v\,\mathbf i+a^2\sin^2u\sin v\,\mathbf j+a^2\sin u\cos u\,\mathbf k$
$\implies\left\|\dfrac{\partial\mathbf r}{\partial u}\times\dfrac{\partial\mathbf r}{\partial v}\right\|=a^2\sin u$

So the area of the surface is

$\displaystyle\iint_S\mathrm dS=\int_{u=0}^{u=\pi}\int_{v=0}^{v=2\pi}a^2\sin u\,\mathrm dv\,\mathrm du=2\pi a^2\int_{u=0}^{u=\pi}\sin u$
$=-2\pi a^2(\cos\pi-\cos 0)$
$=-2\pi a^2(-1-1)$
$=4\pi a^2$

as expected.

6 0

3 years ago

What is: 5x + x - 3 = 9

Allisa [31]

5x+x-3=9

6x-3=9

cancel out 3 3+3 9+3

6x=12 divide six by 6 and by 12 too.

x=12/6=2

x=2

8 0

3 years ago

Read 2 more answers

Which shows the use of the associative property?

irina1246 [14]

Answer:

The Second One or B. You were correct.

Step-by-step explanation:

The associative property is when the numbers of an equation stay the same, but the parentheses move.

6 0

3 years ago

Solve the system by substitution. -5x+2y=-42 6x=y

Drupady [299]

Step-by-step explanation:

since y=6x

by substitution

-5x+ 2 (6x)= -42

-5x+ 12x=-42

7x= - 42

divide both sides by 7

x= 6

y=6x

y =6*6

y=36

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3 years ago

wheelchair ramps for access to public buildings are allowed a maximum of one inch of vertical increase for every one foot of hor

AveGali [126]

Length x width = area
but
1feet=12inches
8 x 12=96
10x96=960

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3 years ago