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.

What basic trigonometric identity would you use to verify that sin x cos x tan x =1-cos^(2)x?

Which product is positive a is 2/5 -8/9 -1/3 -2/7 b is -2/5 8/9 -1/3 -2/7 c is 2/5 8/9 1/3 -2/7 d is -2/5 -8/9 1/3 2/7

Asquare is dilated by a scale factor of 1.25 to create a new square. how does the area of the new square compare with the area of the original square? a)the area of the new square is 1.25 times the area of the original square. b)the area of the new square is 2.50 times the area of the original square. c)the area of the new square is 1.252 times the area of the original square. d)the area of the new square is 1.253 times the area of the original square.