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3 years ago

I need help pretty please

Mathematics

1 answer:

ira [324]3 years ago

3 0

Answer:

Step-by-step explanation:

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Use the sum of cubes identity to find the factors of the expression 8x6 + 27y3. Write your answer in the form of the expression

Katyanochek1 [597]

The Answer to this Question is:

(2x^2+3y)(4x^4-6x^2y+9y^2)

This symbol ^ means that the number after is an exponent.

5 0

3 years ago

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

Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given.

Vsevolod [243]

Part A: How many 2/3 foot pieces can Wendy cut from the 5 and 1/3 feet of ribbon? Show your work. (5 points)

Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given. (5 points)

Essay Submission

Part A: 5 1:3 = 53=15+1=16:3 16:3 / 2:3=16:33:2=48:6 6/48=8(6*8=48)

Part B: Thats How I got my quotient by dividing 48 and 6

I think this if what you are looking for.

hope it helps.

7 0

2 years ago

The simplest from ratio for 27/45

Tems11 [23]

Both 27 and 45 have the greatest common factor of 9, so divide the numerator and the denominator by 9 to get the simplest form.
27/45 = 3/5
3/5 is the simplest ratio

3 0

3 years ago

Read 2 more answers

Megan and her 5 friends have ordered food in Door dash for their movie

Andrew [12]

They will each have to give $21.60 because 129.60/ 6 is 21.6 which is $21 and .60 cents each

4 0

2 years ago