G Consider the non-homogeneous Helmholtz Equation given by uxx − 4u = −x, ux (0) = −1 ux (1) = 1 . Note the form and non-homogeneous nature of the boundary conditions ? how do you expect this problem to behave? Work through the standard approach to solving this problem via eigenfunction expansion; i. e.

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 16 cubic feet per minute. the diameter of the base of the cone is approximately three times the altitude. at what rate is the height of the pile changing when the pile is 12 feet high? (hint: the formula for the volume of a cone is v = 1 3 πr2h.)

Every rhombus is a square. true false

In a school 2/3 of the students study a language of those who study a language 2/5 study french