Perform the operation.
?
?
A. 10
B. -12
C. -10
D. 3
E. -8
Answer: C
Mathematics
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Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.F = x2i + xyj + yk; C: the counter-clockwise path around the perimeter of the rectangle in the x-y plane formed from the x-axis, y-axis , x = 3 and y = 9
A. 243
B. 
C. -243
D. - 
Mathematics
Find dy.y = 5
- 
A. 
dx
B. 
dx
C. 
dx
D. 
dx
Mathematics
Evaluate the integral using the given substitution.
dy , u = y6 + 3y3 + 2
A. 
(y6 + 3y3 + 2)4 + C
B. 
(y6 + 3y3 + 2)4(10y4 + 6y) + C
C. 
(y6 + 3y3 + 2)4 + C
D. 21(y6 + 3y3 + 2)2 + C
Mathematics
Provide an appropriate response.Simplify: 
A. 3 B. 1 C. -3 D. 0
Mathematics