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3 years ago

Write the expression that represents the volume of the prism in cubic units

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

6 0

Volume = w * 2w * 3w = 6w^3 cubic units

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Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of

diamong [38]

Parameterize $S$ by

$\vec r(u,v)=u\,\vec\imath+v\,\vec\jmath+(4-u^2-v^2)\,\vec k$

with $0\le u\le1$ and $0\le v\le1$ . Then

$\vec r_u\times\vec r_v=2u\,\vec\imath+2v\,\vec\jmath+\vec k$

In the integral we get

$\displaystyle\iint_S\vec F\cdot\mathrm d\vec S$

$\displaystyle=\int_0^1\int_0^1(uv\,\vec\imath+v(4-u^2-v^2)\,\vec\jmath+u(4-u^2-v^2)\,\vec k)\cdot(2u\,\vec\imath+2v\,\vec\jmath+\vec k)\,\mathrm du\,\mathrm dv$

$\displaystyle=\int_0^1\int_0^1(4u-u^3+2u^2v+8v^2-uv^2-2u^2v^2-2v^4)\,\mathrm du\,\mathrm dv=\frac{713}{180}$

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3 years ago

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inna [77]

Have the same slope

5 0

3 years ago

akash's salary in 2014 was 25% more than that of 2013,then his previous salary was what % of present salary

marishachu [46]

Answer:

80%

Step-by-step explanation:

Focus on the important parts of the problem:

The present salary is 25% more than the previous salary.

previous = % of present ?

Use a mock/fake situation. Let' say the previous salary is $100.

100 = % of present

Present salary is $100 increased by 25%.

$100 X 1.25 = $125

100 = % of 125

Solve this in decimal form (convert it to a percentage later).

Let x be the percentage in decimal form.

100 = 125x

100/125 = x Isolate "x" by dividing by sides by 125

x = 0.80

Convert 0.80 to percentage by multiplying by 100.

0.80 X 100 = 80%

When comparing two things using percentage, 100% is the same. Less than 100% is less and more than 100% is more.

Since his previous salary was less than his present salary, this answer makes sense.

Therefore his previous salary was 80% of his present salary.

3 0

3 years ago

Read 2 more answers

Multiply. -5w(-7w^3)

myrzilka [38]

Answer:

35w⁴

Step-by-step explanation:

7 0

4 years ago

Solve for x 4(3+x)+x=x+4 TYYY

iris [78.8K]

$\sf\longmapsto 5x + 12 = x + 4$

$\sf\longmapsto 5x + 12 - 12 = x + 4 - 12$

$\sf\longmapsto 5x = x + 4 - 12$

$\sf\longmapsto 5x = 4 - 12$

$\sf\longmapsto 5x = - 8$

$\sf\longmapsto( 5x - x)$

$\sf\longmapsto 4x = - 8$

$\sf\longmapsto \frac{ - 8}{4} = - 2$

5 0

2 years ago

Read 2 more answers