For each given statement Sn, write the statements S1, S2, and S3 and verify that they are true.Sn: 
= 
What will be an ideal response?
| S1: | 1   |
1 = 1 ?
| S2: | 1 + 4   |
5 = 5 ?
| S3: | 1 + 4 + 7   |
12 = 12 ?
Mathematics
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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 = 
?
C. Iz = 16?
D. Iz = 2?
Mathematics
Find an equation of the ellipse.An ellipse with center at (6, 3), a = 6, b = 4, and major axis horizontal
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Mathematics
For each angle below,determine the exact coordinates of a point on the terminal arm of the angle in standard position.
a) 30° b) 45° c) 60°
Mathematics
Build a variable expression for the given phrase.A number decreased by two
A. x - 2
B. 2 - x
C. x + 2
D. 
Mathematics