# As pure 1 mathematics

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#1
The rate of decay of a radioactive substance is proportional to the number, N, of radioactive atoms present at time t
a )Write an equation representing this information
b )Sketch a graph of N against t
c )What is the sign of d^2n/dt^2
0
2 years ago
#2
(Original post by Alyaaabbas)
The rate of decay of a radioactive substance is proportional to the number, N, of radioactive atoms present at time t
a )Write an equation representing this information
b )Sketch a graph of N against t
c )What is the sign of d^2n/dt^2
"The rate of decay of a radioactive substance is proportional to the number, N, of radioactive atoms present at time t"

Can you translate this sentence into mathematics?
0
#3
I think it will be like deceleration
dn/dt=-kn
(Original post by RDKGames)
"The rate of decay of a radioactive substance is proportional to the number, N, of radioactive atoms present at time t"

Can you translate this sentence into mathematics?
0
2 years ago
#4
(Original post by Alyaaabbas)
I think it will be like deceleration
dn/dt=-kn
I’m not sure what exactly you’re referring to when you compare this to deceleration, but the eqn you have is good.

You can even solve this ODE if you can’t sketch it from the ODE eqn.
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#5

This is my graph. Is it correct?
(Original post by RDKGames)
I’m not sure what exactly you’re referring to when you compare this to deceleration, but the eqn you have is good.

You can even solve this ODE if you can’t sketch it from the ODE eqn.
0
2 years ago
#6
(Original post by Alyaaabbas)
This is my graph. Is it correct?
Yep.
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