Preston writes 3 songs in 2 days, working 7 hours each day. He spends the same amount of time on each song. How long does he spe
2 answers:
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For each <em>x</em> in the interval 0 ≤ <em>x</em> ≤ 5, the shell at that point has
• radius = 5 - <em>x</em>, which is the distance from <em>x</em> to <em>x</em> = 5
• height = <em>x</em> ² + 2
• thickness = d<em>x</em>
and hence contributes a volume of 2<em>π</em> (5 - <em>x</em>) (<em>x</em> ² + 2) d<em>x</em>.
Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region:
Answer:
The number of candles will hold 2 candles
And large candle holder will hold 6 candles.
Step-by-step explanation:
Let the number of candles small candle holder have x
And the number of candles large candle holder have y
So, according to the information given in the question:
17 small candle holders means 17 x
and 2 large candle holders means 2y
using a total of 46 candles means (1)
Similarly, 8 small candle holders and 2 large candle holders, for a total of 28 candles gives:
(2)
We will solve equation (1) and (2) by elimination method:
Subtractijng the two equations we get:
Substitute x=2 in equation(2) we get:
So, the number of candles will hold 2 candles
And large candle holder will hold 6 candles.