Radium 226 has a decay rate that satisfies the differential equation d'(t)= -.00043d(t). assume that d(0)=100.
what is d(t)?
how much is left after 100 years? (round to nearest hundredth.)
to the nearest year, what is the life half life of radium 226?

A)

B)

C) τ=2326 years

Step-by-step explanation:

A)

Consider the differential equation:

Separate variables dD and dt:

Integrate: Remember that The integral of dD/D is ln(D).

And do , so:

B)

The function we have found is a function that let us know how many of Ra is after t years, so, evaluate the function at t=100:

Which rounded is 95.8.

C) For this equation it is known that the life half life τ is equal to (1/λ), where λ is the exponential number that is multiplying to -t in the D(t) function; so for this case, λ=0.00043, and the life half life is ,

which rounded is equal to 2326 years.

1. sometimes

2. never true

3. sometimes

step-by-step explanation:

these are pretty self explanatory if you know what supp right and com angles are

d.) yes, because the volume of the cone is greater than the volume of the sphere

step-by-step explanation: