Radioactive waste the rate at which radioactive waste is entering the atmosphere at time t is decreasing and is given by pe^-kt, where p is the initial rate. use the improper integral
∫^[infinity]_0 pe^-kt dt
with p = 50 to find the total amount of the waste that will enter the atmosphere for each value of k.
k=0.04

Step-by-step explanation:

Given:

where,

T = total amount of waste

P = 50, the initial rate

k = 0.04

t = time

now we need to solve this integral!

when any number has a power of negative infinity it is 0. because: , like something being divided by a very large number!

this is the total amount of waste

351°f

step-by-step explanation: