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Black_prince [1.1K]
3 years ago
11

What’s an expression with an exponent that has a value between 1 and 0???

Mathematics
2 answers:
Nata [24]3 years ago
6 0
2^-2

Negative exponents make the base number a fraction, while also multiplying it by the exponent. 2^-2 is the same as:
1
------
2x2

which equals 1/4.
Kruka [31]3 years ago
4 0

Answer:

0.1^2

Step-by-step explanation:

0.1^2 = 0.01, and 0.01 is between 1 and 0.

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Find the volume of the given solid: Bounded by the cylinder y^2+z^2=4 and the planes x = 2y, x = 0, z = 0 in the first octant.
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The solution would be like this for this specific problem:

<span>V = ∫ dV </span><span>
<span>= ∫0→2 ∫ 0→π/2 ∫ 0→ 2·r·sin(φ) [ r ] dzdφdr </span>
<span>= ∫0→2 ∫ 0→π/2 [ r·2·r·sin(φ) - r·0 ] dφdr </span>
<span>= ∫0→2 ∫ 0→π/2 [ 2·r²·sin(φ) ] dφdr </span>
<span>= ∫0→2 [ -2·r²·cos(π/2) + 2·r²·cos(0) ] dr </span>
<span>= ∫0→2 [ 2·r² ] dr </span>
<span>= (2/3)·2³ - (2/3)·0³ </span>
<span>= 16/3 </span></span>

So the volume of the given solid is 16/3. I am hoping that these answers have satisfied your query and it will be able to help you in your endeavors, and if you would like, feel free to ask another question.

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