Show that the set is infinite by placing it in a one-to-one correspondence with a proper subset of itself. Be sure to show the pairing of the general terms in the sets.{4, 6, 8, 10, ...}
A.
| { | 4, | 6, | 8, | 10, ..., | 2n + 6, | ...} |
| ? | ? | ? | ? | ? |
| { | 6, | 8, | 10, | 12, ..., | 2n + 4, | ...} |
B.
| { | 4, | 6, | 8, | 10, ..., | 2n + 3, | ...} |
| ? | ? | ? | ? | ? |
| { | 6, | 8, | 10, | 12, ..., | 2n + 5, | ...} |
C.
| { | 4, | 6, | 8, | 10, ..., | 2n + 2, | ...} |
| ? | ? | ? | ? | ? |
| { | 6, | 8, | 10, | 12, ..., | 2n + 4, | ...} |
D.
| { | 4, | 6, | 8, | 10, ..., | 2n + 2, | ...} |
| ? | ? | ? | ? | ? |
| { | 5, | 7, | 9, | 11, ..., | 2n + 4, | ...} |
Answer: C
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Provide an appropriate response.Equating the numerators in the process of partial fraction decomposition, your friend has obtained the algebraic expression 
From this equation, what can you say about the original expression?
A. The original expression has a numerator of (7x - 3)(3x - 8)(x + 5)(x + 5). B. The original expression has a non-reducible quadratic factor in the denominator. C. The original expression has the factor (x2 + 5) in the denominator. D. The original expression has a repeating linear factor in the denominator.
Solve the problem.Let D be the region bounded below by the xy-plane, above by the sphere 
and on the sides by the cylinder 
. Set up the triple integral in cylindrical coordinates that gives the volume of D using the order of integration 
.
A. 
B. 
C. 
D. 
Find the exact value. sin 75°
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Use Gauss-Jordan elimination to find the solution. Write the solution as an ordered triple.-4x - y - 5z = -58-3x + 3y + 6z = 18 5x - 3y + z = 26
A. (8, 6, 4) B. (-8, 4, 6) C. (-8, 6, 16) D. (8, 4, 6)