Determine whether (f(g(x)) = x and whether (g (f(x)) = x.f(x) = 
, g(x) = x2
A. No, no
B. No, yes
C. Yes, yes
D. Yes, no
Answer: A
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Solve the problem.The shape and density of a thin shell are indicated below. Find the coordinates of the center of mass.Shell: "nose" of the paraboloid x2 + y2 = 2z cut by the plane z = 4Density: ? = 
A. 
B. 
C. 
D. 
Solve the system of equations using the inverse of the coefficient matrix.
A. x = -3, y = 8, z = 6 B. x = 3, y = 1, z = 8 C. x = 3, y = 8, z = 1 D. The system is inconsistent.
Solve the problem.The perimeter of the parallelogram below is 126 meters. Write a linear equation on two variables for the perimeter. Use this equation to find x when y is 14.
A. x + 4y = 126; x = 70 m B. x + 4y = 63; x = 7 m C. x + 4y = 126; x = 7 m D. x + 4y = 63; x = 14 m
Perform the indicated operation by first converting the numbers to scientific notation. Write the answer in scientific notation.(0.008)(0.0000008)(0.001)
A. 6.4 × 10-12 B. 6.4 × 10-13 C. 6.4 × 10-14 D. 6.4 × 10-11