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4 years ago

2.82 TONS ROUNDED TO THE NEAREST HUNDREDTH in tons

Mathematics

2 answers:

Leviafan [203]4 years ago

5 0

3.00 tons because you have to rounded it and see if the 8 is bigger then 5

ahrayia [7]4 years ago

3 0

2.82 rounded to the nearest hundredth would be the same 2.82 because your hundredth place is the 2 after the 8 and assuming the next digit over is 0 because nothing is there you would not round up.

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$\vec r(t)=\langle\sqrt5\cos t,\sqrt5\sin t\rangle\implies\vec r'(t)=\langle-\sqrt5\sin t,\sqrt5\cos t\rangle$

$\implies\mathrm d\vec r=\vec r'(t)\,\mathrm dt=\sqrt5\langle-\sin t,\cos t\rangle\,\mathrm dt$

with $0\le t\le2\pi$ . Then

$\displaystyle\int_{\partial R}\vec F\cdot\mathrm d\vec r=\int_0^{2\pi}\langle-\sqrt5\cos t,-\sqrt5\sin t\rangle\cdot\langle-\sqrt5\sin t,\sqrt5\cos t\rangle\,\mathrm dt$

$=\displaystyle5\int_0^{2\pi}(\sin t\cos t-\sin t\cos t)\,\mathrm dt=0$

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