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3 years ago

Hello i need help on number 5,6,7 and also sorry about writing on it.i will mark as the brain thing

Mathematics

2 answers:

Charra [1.4K]3 years ago

7 0

5) 67 miles / 5 days = 13.4 miles a day (answer 4)
6) answer 5 - we don't know how many adults/children are there
7) perimeter = 3 sides added = 4 + 7 + other side which is also 7 = 18 (answer 4)

Ahat [919]3 years ago

3 0

Ok I can help you on number 5 and 6. Sorry I dont understand number 7. You are correct on number six. There is not enough information because they do not say how many are 12 and how many are younger than 12. So on number 5 you would take 67 and divide it by 5. That is 13.4 so your answer for number 5 would be 13.4. Hope this helps!

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2 years ago

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The linearization or linear approximation of a function $f(x)$ is given by:

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$V(R_0+dR, h_0+dh) = V(R_0, h_0) + \frac{\partial V(R_0, h_0)}{\partial R}dR + \frac{\partial V(R_0, h_0)}{\partial h}dh$

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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