Find the flux of the vector field F across the surface S in the indicated direction.F(x, y, z) = 10xi + 10yj + 10zk , S is the surface of the sphere x2 + y2 + z2 = 1 in the first octant, direction away from the origin
A. 0
B. 
?
C. 
?
D. 5?
Answer: D
Mathematics
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Provide an appropriate response.If x3 + y3 = 9 and dx/dt = -3, then what is dy/dt when x = 1 and y = 2?
A. - 
B. 
C. - 
D. 
Mathematics
Simplify and add or subtract wherever possible.-3
- 3
+ 2
A. -15
- 9
+ 12
B. -75
- 27
+ 72
C. -18
- 15
+ 6
D. -12
Mathematics
Solve the problem.The numerator of a fraction is 8 times the denominator. If 9 is subtracted from the numerator, and added to the denominator, the resulting fraction is equal to 
. Find the original fraction.
A. 
B. 
C. 
D. 
Mathematics
Simplify. Assume that all variables represent positive real numbers.
- 
A. - 
B. -6
C. -1
D. 0
Mathematics