Aquantum-mechanical particle on the line with an infinite potential outside the interval (0, l) ("particle in a box") is given by schr ¨odinger’s equation ut = iuxx on (0, l) with dirichlet conditions at the ends. separate the variables and use (8) to find its representation as a series.

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria.the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time.create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

Abe is a triangle. can you use the sss postulate or the sas postulate to prove triangle abc = triangle aed? by sss only neither apply both apply by sas only

How many credit hours will a student have to take for the two tuition costs to be equal? round the answer to the nearest tenth of an hour.