Section 16.7 - Tom Pickens Assignment Section 16.7 due at...

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Tom Pickens Math2400 Assignment Section 16.7 due 03/14/2013 at 03:00am MDT 1. (1 pt) Find the absolute value of the Jacobian, ( x , y ) ( s , t ) , for the change of variables given by x = 3 s + 2 t , y = 3 s + 2 t ( x , y ) ( s , t ) = 2. (1 pt) Find the Jacobian. ( x , y , z ) ( s , t , u ) , where x = s - 2 t - u , y = 3 u - ( s + t ) , z = 3 s - 3 t + 3 u .
( x , y , z ) 3. (1 pt) Find positive numbers a and b so that the change of
variables s = ax , t = by transforms the integral R R R dxdy into Z Z T ( x , y ) ( s , t ) dsdt for the region R , the rectangle 0 x 25, 0 y 65 and the region T , the square 0 s , t 1. a = b = What is ( x , y ) ( s , t ) in this case?
4. (1 pt) Find positive numbers a and b so that the change of variables s = ax , t = by transforms the integral R R R dxdy into Z Z

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