6. (15 points) A certain bypothetical wave function in one dimensicn is approximated as (x)=cx fo 0nmx3nm, and (x)=0 everywhere elsc, where c is a positive, real constart. (a) Find the value of c wothat this wave finction is normalired and include the units of c. (b) For this wave function, what is the probability of finding the particle between x=1nm and x=2nm ? (c) What problems, if any, would make this wave functions "unacceptable" for deseribing a real system