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irina [24]
3 years ago
7

Is A correct ? please help

Mathematics
1 answer:
Tasya [4]3 years ago
4 0

Answer:

A would be correct

Step-by-step explanation:

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Find the area of the part of the paraboloid z = 9 - x^2 - y^2 that lies above the xy-plane.
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Parameterize this surface (call it S) by

\vec r(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec\jmath+(9-u^2)\,\vec k

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\vec r_u\times\vec r_v=2u^2\cos v\,\vec\imath+2u^2\sin v\,\vec\jmath+u\,\vec k

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\displaystyle\iint_S\mathrm dA=\iint_S\|\vec r_u\times\vec r_v\|\,\mathrm du\,\mathrm dv

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4 years ago
Ryan and Sarah collect baseball cards. Ryan has 150 baseball cards and collects 10 cards per week. Sarah has 233 baseball cards
ICE Princess25 [194]

Answer:

About 17 weeks

Step-by-step explanation:

Given

Ryan:

Initial = 150

<em />Additional = 10<em> (weekly)</em>

Sarah:

Initial = 233

Additional = 5 (weekly)

Required

Determine the number of weeks they have the same cards

Represent the number of weeks with w:

For Both individuals, number of card at any given week is:

Initial + Additional * w

So,

For Ryan, the expression is:

150 + 10 * w

150 + 10w

For Sarah, the expression is:

233 + 5 * w

233 + 5 w

To determine the number of weeks, we have to equate both equations:

150 + 10w= 233 + 5 w

Collect Like Terms

10w - 5w = 233 - 150

5w = 83

Solve for w

w = 83/5

w = 16.6

16.6 implies about 17 weeks, because 16.6 approximates to 17

<em>Conclusively, Ryan and Sarah will have the same number of balls in about 17 weeks</em>

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