The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function c= 34.95u +6.25,
2 answers:
Answer:
The domain of the function is
Step-by-step explanation:
Given : The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function c= 34.95u +6.25, where u is the number of uniforms bought.
If there are at least 8 players but not more than 12 players on the volleyball team.
To find : What is the domain of the function for this situation ?
Solution :
The total cost in dollars c= 34.95u +6.25
Where, u is the number of uniforms bought.
Now, The number of uniforms bought depend on the number of players.
We have given that, there are at least 8 players but not more than 12 players on the volleyball team.
i.e, The number of players are between 8 to 12.
So, The domain of the function is
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Answer:
volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a ( x + b )² dx
Step-by-step explanation:
Given the data in the question and as illustrated in the image below;
R is in the region first quadrant with vertices; 0(0,0), A(a,0) and B(0,b)
from the image;
the equation of AB will be;
y-b / b-0 = x-0 / 0-a
(y-b)(0-a) = (b-0)(x-0)
0 - ay -0 + ba = bx - 0 - 0 + 0
-ay + ba = bx
ay = -bx + ba
divide through by a
y = x + ba/a
y = x + b
so R is bounded by y = x + b and y =0, 0 ≤ x ≤ a
The volume of the solid revolving R about x axis is;
dv = Area × thickness
= π( Radius)² dx
= π ( x + b )² dx
V = π ₀∫^a ( x + b )² dx
Therefore, volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a ( x + b )² dx