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Natali [406]
3 years ago
15

Differentiate f(x) = \frac{x^{3}-4 x+1}{x^{3}}.

Mathematics
1 answer:
miv72 [106K]3 years ago
7 0
f(x) = \frac{x^{3}-4 x+1}{x^{3}}\\
f'(x)=\frac{(3x^2-4)\cdot x^3-(x^3-4x+1)\cdot3x^2}{x^6}\\
f'(x)=\frac{x^2(3x^3-4x-3x^3+12x-3)}{x^6}\\
f'(x)=\frac{8x-3}{x^4}\\

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Answer: 10380cm^3

Explanation:

Find the volume of half cylinder:

V = (pi x r^2 x h)/2 (I use pi = 22/7 for simplifying)
V = 22/7 x 6^2/2 x 35
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V = 1980cm^3

Find the volume of the rectangle:

V = 20 x 35 x 12
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V = 8400cm^3

Find the volume of the whole shape:

V = 1980 + 8400
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2 years ago
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so 100=25h
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100=25*4

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