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3 years ago

"Part A: Solve −np − 70 < 40 for n. Show your work."

1 answer:

4 0

-np - 70 < 40 -np < 40 + 70 -np < 110 -np/-p < 110/-p n < 110/-p 4w - 7k = 28 4w-4w-7k = 28 - 4w -7k = 28 - 4w -7k/-7 = 28-4w /-7 k = 28-4w/-7

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Find the surface area of the surface given by the portion of the paraboloid z=3x2+3y2 that lies inside the cylinder x2+y2=4. (hi

natta225 [31]

Parameterize the part of the paraboloid within the cylinder - I'll call it $S$ - by

$\mathbf r(u,v)=\langle x(u,v),y(u,v),z(u,v)\rangle=\left\langle u\cos v,u\sin v,3u^2\right\rangle$

with $0\le u\le2$ and $0\le v\le2\pi$ . The region's area is given by the surface integral

$\displaystyle\iint_S\mathrm dS=\int_{u=0}^{u=2}\int_{v=0}^{v=2\pi}\|\mathbf r_u\times\mathbf r_v\|\,\mathrm du\,\mathrm dv$
$=\displaystyle\int_{v=0}^{v=2\pi}\int_{u=0}^{u=2}u\sqrt{1+36u^2}\,\mathrm du\,\mathrm dv$
$=\displaystyle2\pi\int_{u=0}^{u=2}u\sqrt{1+36u^2}\,\mathrm du$

Take $w=1+36u^2$ so that $\mathrm dw=72u\,\mathrm du$ , and the integral becomes

$=\displaystyle\frac{2\pi}{72}\int_{w=1}^{w=145}\sqrt w\,\mathrm dw$
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3 years ago

Make arguments. Sue said that 200+20+23 is the same as 200+30+3. Is she correct? Explain.

Leya [2.2K]

No she is not correct if she said 200+20+23 was the same as 200+40+3 she would have been correct.

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3 years ago

1.) Meaghan is thinking of a mystery number. She cuts it in half then adds 5 the result is 24 determine the mystery number

Igoryamba

The answer to number 1 is subtract 5 from 24 to get 19, then multiply 19 by 2 to get 38 as your final answer. I hope this helps!

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3 years ago

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zubka84 [21]

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3 years ago

Read 2 more answers

One number is 5 more than the other. Their sim is 33. Find the answer

disa [49]

Answer:

the two numbers are 14 and 19

Step-by-step explanation:

x + y = 33

x - y = 5 ⇒ x = y + 5

substitute x = y + 5 in x + y = 33

y + 5 + y = 33

2y + 5 = 33

2y = 33 -5

2y = 28

y = 28/2

y = 14

x = 14 + 5

x = 19

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3 years ago