Evaluate the double integral.
A. 
B. 
C. 
D. 
Answer: D
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For the smooth curve r(t), find the parametric equations for the line that is tangent to r at the given parameter value 
r(t) = (4t2 - 7t)i + (t + 6)j + k ; t0 = 2
A. x = 9t, y = t, z = t B. x = 2 + t, y = t, z = t C. x = 2 + 9t, y = 8 + t, z = 1 D. x = 2 + 9t, y = 8 + t, z = 0
Solve the problem.The shape and density of a thin shell are indicated below. Find the moment of inertia about the z-axis.Shell: "nose" of the paraboloid x2 + y2 = 2z cut by the plane z = 1Density: ? = 
A. Iz = 
?
B. Iz = 16?
C. Iz = 
?
D. Iz = 2?
Solve the rational inequality. Write the solution set using interval notation; then graph the solution set on a number line.
< 0
A. (-?, ?)
B. ?
C. (-?, -8)
D. (-8, 0)
Using the factoring method, solve for the roots of the quadratic equation.x(3x + 16) = 12
A. x = 
, x = -6
B. x = 
, x = 6
C. x = 0, x = 
D. x = 0, x = - 