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Evaluate the Differential Is Exact (0,0,0)(1,1,1)9x8y8z5dx+8x9y7z5dy+5x9y8z4dz\int _ { ( 0,0,0 ) } ^ { ( 1,1,1 ) } 9 x ^ { 8 } y ^ { 8 } z ^ { 5 } d x + 8 x ^ { 9 } y ^ { 7 } z ^ { 5 } d y + 5 x ^ { 9 } y ^ { 8 } z ^ { 4 } d z

Question 26

Multiple Choice

Evaluate. The differential is exact.
- (0,0,0) (1,1,1) 9x8y8z5dx+8x9y7z5dy+5x9y8z4dz\int _ { ( 0,0,0 ) } ^ { ( 1,1,1 ) } 9 x ^ { 8 } y ^ { 8 } z ^ { 5 } d x + 8 x ^ { 9 } y ^ { 7 } z ^ { 5 } d y + 5 x ^ { 9 } y ^ { 8 } z ^ { 4 } d z


A) 0
B) 3
C) 13\frac { 1 } { 3 }
D) 1

Correct Answer:

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