Consider the bvp
y''+(lamda)y=0 y'(0)=0, y'(pi/6)=0
a)assume lamda=0 and find the solution
b)assume lamda> 0 and find the solution
c)assume lamda< 0 and find the solution
d) determine the eigenvalues and associated eigenfunctions corresponding the eigenvalues.

Its due ! write an equation in which the quadratic expression 2x^2-2x 12 equals 0. show the expression in factored form and explain what your solutions mean for the equation. show your work.

Which math sentence can be used to determine if the triangle is a right triangle?

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?