Please help me with this.
1 answer:
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Answer:
a.
b.
c.
d.
11, 3, 31, 11 = code
Step-by-step explanation:
a. * 2
=
2 =
=
*
=
=
b. /
=
*
=
=
=
c. *
=
(you can reduce 8 & 56 by dividing by 8: 56/8=7 & -8/8= -1)
d. 1 / 2
=
1 =
=
2 =
=
*
=
(you can reduce 15 & 30 by dividing by 15: 15/15=1 & 30/15 = 2)
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,
