Find the integral.

A. e(3x2 - 6x) + C
B. e(6x - 6) + C
C. (3x2 - 6x) e(3x2 - 6x) + C
D. (3x2 - 6x) e(6x - 6) + C


Answer: A

Mathematics

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Replace the polar equation with an equivalent Cartesian equation. 4r cos ? + 5r sin ? = 1

A. 4x + 5y = 1
B. 4y + 5x = 1
C. 4x + 5y = x2 + y2
D.  +  = 1

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Use the Gauss-Jordan method to find A-1, if it exists.A = 

A.

B.

C.

D. Does not exist

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Use the limit comparison test to determine if the series converges or diverges.

A. Converges B. Diverges

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Solve the problem using Gaussian elimination.Three machines together produce 170 parts each hour. Twice the production of the second machine is  more than the sum of the production of the other two machines. If the first machine operates for  and the others operate for 9 hours,  are produced. Find the production rate of each machine.

A. 60 parts/h, 30 parts/h, 80 parts/h B. 60 parts/h, 80 parts/h, 30 parts/h C. 80 parts/h, 60 parts/h, 30 parts/h D. 30 parts/h, 60 parts/h, 80 parts/h

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