The augmented matrix of a system of equations has been transformed to an equivalent matrix in row-echelon form. If the system is consistent, then give the solution. If it is not, then state that it is inconsistent.

A. (2 + 6z, -7 - 2z, z)
B. (2 - 6z, -7 + 2z, z)
C. (2 - z, -7 + z, z)
D. (2, -7, z)


Answer: B

Mathematics

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Use logarithmic differentiation to find the derivative of y with respect to the independent variable.y = 6xx2

A. 6xx2 + 1(2 ln 6x + 1) B. xx2 + 1 ln 6x C. 6xx2 + 1(2 ln 6x ) D. x(2 ln 6x +1)

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Evaluate the polynomial for the given values of x and y.3y2 - 7xy; x = 6 and y = -2

A. 192 B. 90 C. 190 D. 96

Mathematics

Calculate the work done by the force F along the path C.F = - i + j + k; C: r(t) = i + j  + 7tk, 0 ? t ? 

A. W =  + ?2
B. W =  + ?2
C. W =  + ?2
D. W =  + ?2

Mathematics

Solve the problem.Find the surface area of a right rectangular prism 18.2 cm × 10.9 cm × 14.6 cm. Round your answer to the nearest whole number.

A. 1112 cm2 B. 1246 cm2 C. 623 cm2 D. 1087 cm2

Mathematics