Solve using the substitution method.x = 2 + 2yx + -2y = 7

A. Infinitely many solutions
B. (, - )
C. No solution
D. ()


Answer: C

Mathematics

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Determine which of the ordered pairs satisfy the given equation and then graph the equation by plotting the points that satisfy the equation. ? ?

A.


B.


C.


D.


E.


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Find the volume of the indicated region by an iterated integration.The solid cut from the first octant by the surface  

A.
B. 108
C. 81
D. 54

Mathematics

Solve the problem.The shape and density of a thin shell are indicated below. Find the moment of inertia about the z-axis.Shell: portion of the cone x2 + y2 - z2 = 0 between z = 1 and z = 4Density: ? = 5

A. Iz = 
B. Iz = 1275?
C. Iz = ?
D. Iz = 1275

Mathematics

Evaluate the integral by first performing long division on the integrand and then writing the proper fraction as a sum of partial fractions.

A. 3x2 + 3 ln  - 3 ln   + C
B. 3 ln  - 3 ln   + C
C. x2 + 3 ln  - 3 ln   + C
D. x2 - 3 ln  + 3 ln   + C

Mathematics