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Sveta_85 [38]
3 years ago
6

What is -(c-4)=5?so what is 'c'

Mathematics
2 answers:
alexgriva [62]3 years ago
6 0
-(c-4)=5
c-4=-5
c=-1

Check answer:
-(-1-4)=5
-(-5)=5
5=5


Yanka [14]3 years ago
5 0
-(c-4)=5 \\ \\ -c + 4 = 5 \\ \\ 4 - c = 5 \\ \\ -c = 5 - 4 \\ \\ -c = 1 \\ \\ c = -1 \\ \\

The final result is: c = -1.
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Taking R_0=1.5 inches and h=3 inches and evaluating the partial derivatives we obtain:

V(R_0+dR, h_0+dh) = V(R_0, h_0) + \frac{\partial V(R_0, h_0)}{\partial R}dR + \frac{\partial V(R_0, h_0)}{\partial h}dh\\V(R, h) = V(R_0, h_0) + (\frac{2 h \pi r}{3}  + 2 \pi r^2)dR + (\frac{\pi r^2}{3} )dh

substituting the values and taking dx=0.1 and dh=0.3 inches we have:

V(R_0+dR, h_0+dh) =V(R_0, h_0) + (\frac{2 h \pi r}{3}  + 2 \pi r^2)dR + (\frac{\pi r^2}{3} )dh\\V(1.5+0.1, 3+0.3) =V(1.5, 3) + (\frac{2 \cdot 3 \pi \cdot 1.5}{3}  + 2 \pi 1.5^2)\cdot 0.1 + (\frac{\pi 1.5^2}{3} )\cdot 0.3\\V(1.5+0.1, 3+0.3) = 17.2002\\\boxed{V(1.5+0.1, 3+0.3) \approx 17.20}

Therefore the change in volume is estimated to be 17.20 \rm{in^3}

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