6.8. verify that u(x; y)=asin(2px) sin(2py) solves poisson’s equation ñ2u= onw = (0; 1)(0; 1) for some a-value, where r(x; y) = sin(2px) sin(2py). (a) find the correct a value. (b) compute the total source s = rr w rda: (c) compute the flux out through the top part of w (y = 1) and verify by symmetry that it is one-quarter that of the full source s.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

answ9x x 3=

step-by-step explanation:

answer: i'm great at algebra

~coco

step-by-step explanation: