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KonstantinChe [14]
3 years ago
10

What’s is the same as 97.52 divided by 10

Mathematics
1 answer:
Tems11 [23]3 years ago
6 0
You could do 97.52/10. The slash means divided by.
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Plz help me well mark brainliest if you are correct!
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Not sure how I am supposed to arrive to an answer
ANEK [815]

Integrating both sides once gives

\dfrac{\mathrm d\mathbf r}{\mathrm dt}=2e^t\,\mathbf i+3e^{-t}\,\mathbf j+4e^{2t}\,\mathbf k+\mathbf c

where \mathbf c is an arbitrary constant vector. Use the initial condition to find its value:

\dfrac{\mathrm d\mathbf r}{\mathrm dt}(0)=-\mathbf i+7\,\mathbf j=(2+c_1)\,\mathbf i+(3+c_2)\,\mathbf j+(4+c_3)\,\mathbf k

\implies\mathbf c_1=-3\,\mathbf i+4\,\mathbf j-4\,\mathbf k

Integrate again:

\mathbf r(t)=2e^t\,\mathbf i-3e^{-t}\,\mathbf j+2e^{2t}\,\mathbf k+\mathbf c_1t+\mathbf c_2

where \mathbf c_2 is another arbitrary vector of constants. Use the other initial condition to determine its components:

\mathbf r(0)=6\,\mathbf i+\mathbf j+3\,\mathbf k=(2+c_1)\,\mathbf i+(-3+c_2)\,\mathbf j+(2+c_3)\,\mathbf k

\implies\mathbf c_2=4\,\mathbf i+4\,\mathbf j+\mathbf k

Then the particular solution to this ODE is

\boxed{\mathbf r(t)=(2e^t-3t+4)\,\mathbf i+(-3e^{-t}+4t+4)\,\mathbf j+(2e^{2t}-4t+1)\,\mathbf k}

5 0
4 years ago
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