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slavikrds [6]
3 years ago
10

If a, b, c, d are positive, and if a/b < c/d , then which statement is ALWAYS true?

Mathematics
2 answers:
CaHeK987 [17]3 years ago
5 0
Answer: it has to be A)

:)))))))))))))
Dahasolnce [82]3 years ago
3 0
I believe the answer is c
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Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of f(x)=x^2+2 for 0≤x≤5 about x
Irina18 [472]

For each <em>x</em> in the interval 0 ≤ <em>x</em> ≤ 5, the shell at that point has

• radius = 5 - <em>x</em>, which is the distance from <em>x</em> to <em>x</em> = 5

• height = <em>x</em> ² + 2

• thickness = d<em>x</em>

and hence contributes a volume of 2<em>π</em> (5 - <em>x</em>) (<em>x</em> ² + 2) d<em>x</em>.

Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region:

\displaystyle 2\pi \int_0^5 (5-x)(x^2+2)\,\mathrm dx=2\pi\int_0^5 (10-2x+5x^2-x^3)\,\mathrm dx=\boxed{\frac{925\pi}6}

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sammys mother is 2 years more than 3 times as old as sammy. their combinied age is 42. how old are sammys mother and sammy
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Sammy's mother is 32 and Sammy is 10.
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What's the ratio of 186:76
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