Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated line.About the line y = 4x = 
(solid)
A. 
?
B. 
?
C. 
?
D. 
?
Answer: C
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Find the flux of the vector field F across the surface S in the indicated direction.F(x, y, z) = 5xi + 5yj + 2k , S is the surface cut from the bottom of the paraboloid z = x2 + y2 by the plane 
direction is outward
A. 16? B. -144? C. 88? D. 72?
Solve the problem.Earth is represented on a map of the solar system so that its surface is a circle with the equation 
A weather satellite circles 0.8 units above the Earth with the center of its circular orbit at the center of the Earth. Find the general form of the equation for the orbit of the satellite on this map.
A. x2 + y2 - 10x - 2y - 4303.64 = 0 B. x2 + y2 + 10x + 2y - 4303.64 = 0 C. x2 + y2 + 10x + 2y + 25.36 = 0 D. x2 + y2 + 10x + 2y - 38.36 = 0
Find an equation for the hyperbola described.Vertices at (0, ±10); asymptotes at y = ± 
x
A. 
- 
= 1
B. 
- 
= 1
C. 
- 
= 1
D. 
- 
= 1
Find the value of the radical expression.-
A. -24.5 B. -14 C. 24.5 D. -7