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madreJ [45]
2 years ago
13

How do you do this question?

Mathematics
1 answer:
Maksim231197 [3]2 years ago
5 0

Answer:

π/10

Step-by-step explanation:

When we rotate the region about the y-axis, we get something that looks like a volcano, or a bundt cake.  Instead of slicing this into flat washers, we'll slice it in concentric rings, or "shells".

Each shell has a radius x, a thickness dx, and a height y.  The volume of an individual shell is:

dV = 2π r h t

dV = 2π x y dx

Since y = x² − x³:

dV = 2π x (x² − x³) dx

dV = 2π (x³ − x⁴) dx

The total volume is the sum of all the shells from x=0 to x=1.

V = ∫ dV

V = ∫₀¹ 2π (x³ − x⁴) dx

V = 2π (¼ x⁴ − ⅕ x⁵) |₀¹

V = 2π (¼ − ⅕)

V = π/10

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Andrei [34K]

Answer:

B is the right answer

Step-by-step explanation:

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Hope this helps.

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2 years ago
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Ber [7]

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8 0
3 years ago
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Help me please I need this done quick
Anna11 [10]
Answer:
1058.4 in^2

Step-by-step explanation:
Find the surface areas of the rectangular prism and the triangular prisms separately.
Triangular: S = (1/2)lP+B, where l is slant height, P perimeter, and B base area.
14(4)= 56 perimeter of base
13 slant height
B = 14x14 = 196
put together:
S = (1/2)(13 x 56) + 196
S = 560 in^2

Now the rectangular prism
S = 2lw + 2lh + 2wh, where l is length, h height, w width. (delete the first 2lw since they share one side/they're combined shapes.
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S = 498.4 in^2

Add them together: 498.4 + 560 = 1058.4 in^2
7 0
2 years ago
There are 48 students going on a field trip and 1/4 are girls how many boys are going on the field trip? In tape diagram
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Answer:

3/4 or 75% are boys

Step-by-step explanation:

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