contestada

Enter the function below in the form p= p 0 a t . Does it represent exponential growth or exponential decay? P= 2e −0.5t round the base of the exponential function, a , to four decimal places.

Respuesta :

we are given

[tex]P=2e^{-0.5t}[/tex]

we can rewrite it as

[tex]P=2(e^{-0.5})^t[/tex]

[tex]e^{-0.5}=0.6065[/tex]

now, we can replace it

we get

[tex]P=2(0.6065)^t[/tex]

now, we can compare it with

[tex]P=P_0(a)^t[/tex]

and find a

[tex]a=0.6065[/tex]

Since, a=0.6065<1

so, it is exponential decay function..........Answr

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