use the method of separation of variables in order to solve the following initial-boundary value problem:
? u/ ? t= ? ^2u/ ? x^2 00
u(0,t)=u(1,t)=0 t> 0
u(x, 0) = x(1 ? x)
show all the work involved with the derivation of the solution.

Atriangle has a side lengths of 18cm, 80 cm and 81cm. classify it as acute obtuse or right?

Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-responsequestion. there are 15 questions on the test and the students have been given 55 minutes to complete itwhich value could replace x in the table? 5507-m23-m8(15-m)8(15)-m

If abcde is reflected over the x-axis and then translated 3 units left, what are the new coordinates d? are he re