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mestny [16]
3 years ago
11

Square root 5 x square root 5 x square root 2 x square root 2 Answer left in surds

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
5 0

Answer:

10 or \sqrt{100} (in surds)

Step-by-step explanation:

\sqrt{5} × \sqrt{5} × \sqrt{2} × \sqrt{2}  = 5×2 = 10 or \sqrt{100}

When the same square root multiply each other, they equal to the number in the square root. E.g. \sqrt{5} × \sqrt{5} = 5 because \sqrt{5} × \sqrt{5}  also equals to \sqrt{25}, which is 5.

Hope this is helpful :)

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32÷8+12=16

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Answer:

V = π ∫₀² (y² − 8y + 6√(2y)) dy

or

V = π ∫₀² (6x − 5x² + x³) dx

Step-by-step explanation:

y₁ = 0.5x²

y₂ = x

First, find the intersections of the curves.

0.5x² = x

x² = 2x

x² − 2x = 0

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So the points of intersection are (0, 0) and (2, 2).

When we revolve this region about the line x = 3, we get a hollow shape that looks like an upside-down funnel, or a volcano.

One option is to use washer method to find the volume, by cutting a thin horizontal slice of thickness dy, inner radius 3−x₁ = 3−√(2y), and outer radius of 3−x₂ = 3−y.

V = ∫₀² π [(3−y)² − (3−√(2y))²] dy

V = ∫₀² π (9 − 6y + y² − 9 + 6√(2y) − 2y) dy

V = π ∫₀² (y² − 8y + 6√(2y)) dy

Another option is to use shell method to find the volume, by cutting a thin vertical slice of thickness dx, radius 3−x, and height y₂−y₁ = x−0.5x².

V = ∫₀² 2π (3 − x) (x − 0.5x²) dx

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V = ∫₀² 2π (3x − 2.5x² + 0.5x³) dx

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Answer:

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Answer:

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