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

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.

add an image

step-by-step explanation: