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NISA [10]
2 years ago
10

Hello in need of a math question answer for a test.

Mathematics
1 answer:
creativ13 [48]2 years ago
7 0

Answer:

There are no roots

Step-by-step explanation:

The Roots are:- x-values for which the function equals zero

and this function doesn't intersect with x-axis (There are no X-values that we can plot into this function and get zero as output)

which mean there are no root for this function

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The amount A of the radioactive element radium in a sample decays at a rate proportional to the amount of radium present. Given
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a) \frac{dm}{dt} = -k\cdot m, b) m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }, c) m(t) = 10\cdot e^{-\frac{t}{2438.155} }, d) m(300) \approx 8.842\,g

Step-by-step explanation:

a) Let assume an initial mass m decaying at a constant rate k throughout time, the differential equation is:

\frac{dm}{dt} = -k\cdot m

b) The general solution is found after separating variables and integrating each sides:

m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }

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m(300) \approx 8.842\,g

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