The disk method will only involve a single integral. I've attached a sketch of the bounded region (in red) and one such disk made by revolving it around the y-axis.
Such a disk has radius x = 1/y and height/thickness ∆y, so that the volume of one such disk is
π (radius) (height) = π (1/y)² ∆y = π/y² ∆y
and the volume of a stack of n such disks is
where 
is a point sampled from the interval [1, 5].
As we refine the solid by adding increasingly more, increasingly thinner disks, so that ∆y converges to 0, the sum converges to a definite integral that gives the exact volume V,
I hope this is right i think the answer is 40
Answer: 25 hours
Step-by-step explanation:
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Answer:
Step-by-step explanation:
If the questions is "What's x" then the answers is...
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
use CAH
Cos(x) = 46/60
x = arcCos(46/60)
x = 39.9445 °
Let X = total students in musical
Then (1/3) X = number of seniors
1 + 6 + 11 + (1/3)X = X
18 + (1/3)X = X
18 = (2/3)X
(3/2)(18) = X
27 = X
27 students in musical of which one third are seniors,
there are 9 seniors in musical
hope this helped!
