Find the flux of the vector field F across the surface S in the indicated direction.F(x, y, z) = xzi + yzj + k , S is the cap cut from the sphere x2 + y2 + z2 = 9 by the plane 
direction is outward
A. 35?
B. - 
?
C. 
?
D. 
?
Answer: D
Mathematics
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Simplify the expression using the quotients-to-powers rule.
-2
A. 
B. x2y12
C. 
D. 
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Find the interval of convergence of the series.
A. 2 < x < 8 B. -8 < x < 8 C. 4 < x < 6 D. x < 8
Mathematics
Solve the problem.Suppose that the accompanying table shows the velocity of a car every second for 8 seconds. Use Simpson's Rule to approximate the distance traveled by the car in the 8 seconds. Round your answer to the nearest hundredth if necessary.
A. 144.33 ft B. 146.33 ft C. 108 ft D. 145.5 ft
Mathematics
Simplify the expression by combining like terms.2x - 2y + 4 - 9x
A. -7x - 2y B. -5xy C. -7x - 2y + 4 D. -7x + 2y
Mathematics