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3 years ago

14

What is 20 times 20plz tell me

1 answer:

vladimir1956 [14]3 years ago

8 0

Answer:

400

Step-by-step explanation:

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En una urna hay 200 esferas, el 25% son rojas, 1/4 son amarillas, la mitad de lo que queda son azules y el resto es verde. Calcu

masha68 [24]

Answer:

I no speak spanish

Step-by-step explanation:

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2 years ago

4, 02, 03, α4, 28.<br> Find the common difference

hram777 [196]

Answer:

1

Step-by-step explanation:

GCF

5 0

3 years ago

Suppose that \nabla f(x,y,z) = 2xyze^{x^2}\mathbf{i} + ze^{x^2}\mathbf{j} + ye^{x^2}\mathbf{k}. if f(0,0,0) = 2, find f(1,1,1).

lesya [120]

The simplest path from (0, 0, 0) to (1, 1, 1) is a straight line, denoted $C$ , which we can parameterize by the vector-valued function,

$\mathbf r(t)=(1-t)(\mathbf i+\mathbf j+\mathbf k)$

for $0\le t\le1$ , which has differential

$\mathrm d\mathbf r=-(\mathbf i+\mathbf j+\mathbf k)\,\mathrm dt$

Then with $x(t)=y(t)=z(t)=1-t$ , we have

$\displaystyle\int_{\mathcal C}\nabla f(x,y,z)\cdot\mathrm d\mathbf r=\int_{t=0}^{t=1}\nabla f(x(t),y(t),z(t))\cdot\mathrm d\mathbf r$

$=\displaystyle\int_{t=0}^{t=1}\left(2(1-t)^3e^{(1-t)^2}\,\mathbf i+(1-t)e^{(1-t)^2}\,\mathbf j+(1-t)e^{(1-t)^2}\,\mathbf k\right)\cdot-(\mathbf i+\mathbf j+\mathbf k)\,\mathrm dt$

$\displaystyle=-2\int_{t=0}^{t=1}e^{(1-t)^2}(1-t)(t^2-2t+2)\,\mathrm dt$

Complete the square in the quadratic term of the integrand: $t^2-2t+2=(t-1)^2+1=(1-t)^2+1$ , then in the integral we substitute $u=1-t$ :

$\displaystyle=-2\int_{t=0}^{t=1}e^{(1-t)^2}(1-t)((1-t)^2+1)\,\mathrm dt$

$\displaystyle=-2\int_{u=0}^{u=1}e^{u^2}u(u^2+1)\,\mathrm du$

Make another substitution of $v=u^2$ :

$\displaystyle=-\int_{v=0}^{v=1}e^v(v+1)\,\mathrm dv$

Integrate by parts, taking

$r=v+1\implies\mathrm dr=\mathrm dv$

$\mathrm ds=e^v\,\mathrm dv\implies s=e^v$

$\displaystyle=-e^v(v+1)\bigg|_{v=0}^{v=1}+\int_{v=0}^{v=1}e^v\,\mathrm dv$

$\displaystyle=-(2e-1)+(e-1)=-e$

So, we have by the fundamental theorem of calculus that

$\displaystyle\int_C\nabla f(x,y,z)\cdot\mathrm d\mathbf r=f(1,1,1)-f(0,0,0)$

$\implies-e=f(1,1,1)-2$

$\implies f(1,1,1)=2-e$

3 0

3 years ago

A newspaper’s cover page is 3/8 text, and photographs fill the rest. If 2/5 of the text is an article about endangered species,

jolli1 [7]

Answer:

$\frac{3}{20}$

Step-by-step explanation:

Let x be the cover page

We are given that a newspaper 's cover page is $\frac{3}{8}$ text and photograph fill the rest.

We have to find that how much part of cover's page is the article about endangered species

Text = $\frac{3}{8}x$

Remaining part = $x-\frac{3}{8} x$

Remaining part = $\frac{8x-3x}{8}=\frac{5}{8} x$

Therefore, a newspaper;s cover page fill with Photograph = $\frac{5}{8}$

If the article about endangered species= $\frac{2}{5}$ of text

Therefore, the article about endangered species= $\frac{2}{5}\times\frac{3x}{8}=\frac{3}{20}x$

Hence, the article about endangered species is $\frac{3}{20}$ of the cover page.

7 0

3 years ago

Read 2 more answers

The Marshall Island goby, the world's smallest fish, measures .47 inch. The striped bass, an American sport fish, is about 25.5

OLEGan [10]

150 inches because i say it is because i just need the points to ask another question

6 0

2 years ago

Read 2 more answers