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dimulka [17.4K]
3 years ago
15

Solve V = 1/3πr2h for h.

Mathematics
1 answer:
Rashid [163]3 years ago
7 0

Step-by-step explanation:

v=1/3nr2h for h

3(v)=3(1/3nr2h)

3v/2nrh=2nrh/2nr

3v/2nrh=h

h = 3v/2nrh

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If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate x^4.

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\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x^4+4hx^3 + 6h^2x^2 + 4h^3x + h^4) - x^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} \frac{4hx^3 + 6h^2x^2 + 4h^3x + h^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} (4x^3 + 6hx^2 + 4h^2x + h^3) = \boxed{4x^3}

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