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zaharov [31]
3 years ago
14

What is the mesure of

Mathematics
1 answer:
lara [203]3 years ago
4 0
What are we measuring
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For the differential equation dy/dt=ky, k is a constant, y(0)=24, and y(1)=18. What is the value of k?
Gre4nikov [31]

The equation is separable, so solving it is trivial:

\dfrac{\mathrm dy}{\mathrm dt}=ky\implies\dfrac{\mathrm dy}y=k\,\mathrm dt

Integrating both sides gives

\ln|y|=kt+C\implies y=e^{kt+C}=Ce^{kt}

Given y(0)=24 and y(1)=18, we find

24=C

18=Ce^k=24e^k\implies e^k=\dfrac34\implies k=ln\dfrac34

so the answer is E.

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4 years ago
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nata0808 [166]

Answer:

71

Step-by-step explanation:

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for each of the number lines, write an absolute value equation in the form |x-c|=d, where c and d are some numbers, to satisfy t
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3 years ago
What is -8/12 in decimal form
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