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Westkost [7]
3 years ago
10

There are 5 boys and 5 girls on a coed basketball team. a team plays 5 players on the court at one time, and the team can have a

t most 3 boys. how many possible teams can be created?
Mathematics
1 answer:
katrin2010 [14]3 years ago
5 0
I think that the answer is 4
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Korolek [52]

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20.3

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Find the volumes of the solids generated by revolving the regions bounded by the graphs of the equations about the given lines.
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Answer:

81π for the x axis.

Step-by-step explanation:

STEP ONE: Determine the intersection.

we are given from the question that y = x^2 and y = 6x − x^2. Therefore if y = x^2, then we will have;

x^2 = 6x - x^2  ---------------------------------------------------------------------------------[1].

Solving and factorizing the equation [1] above give us x = 0 and x = 3 (that is x[6 -2x] = 0 ). Therefore, the point of intersection = (0,0) and (3,9).

<u>STEP TWO</u><em>: </em>Determine the value for the cross sectional area.

The cross sectional area= [6x - x^2]π - [x2]^2 π. --------------[2].

The cross sectional area = -12 π[x -3]x^2.

<u>STEP THREE:</u> integrate the cross sectional area taking x =3 and x =0 as the upper and lower integration limits or boundaries with respect to dx to determine the vome in the x axis.

<h3>volume =∫-12 π[x -3]x^2 dx.</h3><h3 /><h3>volume = -12 π[ (3)^4/4 - (3)^3 ] = 81π.</h3>

volume, v with respect to the x axis = 81π

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Read 2 more answers
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