Find the flux of the vector field F across the surface S in the indicated direction.F(x, y, z) = xyi + yzj + xzk , S is the surface of the rectangular prism formed from the coordinate planes and the planes x = 1, y = 4, and z = 1, direction away from the origin

A. 6
B. 2
C. 24
D. 12


Answer: D

Mathematics

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Express the number in scientific notation.870,000

A. 8.7 × 105 B. 8.7 × 104 C. 8.7 × 10-4 D. 8.7 × 10-5  

Mathematics

Provide an appropriate response.Simplify:  

A. 9
B. 5
C. 3
D. 3

Mathematics

Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the solution set.  x - y + 4z = 143x + z = 4  x + 5y + z = 14

A. Cramer's rule does not apply since D = 0; ? B. {(4, 2, 0)} C. {(0, 2, 4)} D. {(4, 0, 2)}

Mathematics

Solve the equation. Give a general formula for all the solutions.cos ? = - 

A.
B.
C.
D.

Mathematics