Show that the set has cardinal number ?0 by establishing a one-to-one correspondence between the natural numbers and the given set. Be sure to indicate the general correspondence.{1, 4, 9, 16, 25 ...}

A.

1,2,3,4,  5, ..., n, ...
?? ?
1,4,9,16,  25, ..., n3, ...

B.
1,2,3,4,  5, ..., n, ...
? ? 
1,4,9,16,  25, ..., n4, ...

C.
1,2,3,4,  5, ..., n, ...
?? ?
1,4,9,16,  25, ..., 2n2, ...

D.
1,2,3,4,  5, ..., n, ...
? ? 
1,4,9,16,  25, ..., n2, ...


Answer: D

Mathematics

You might also like to view...

Find the intervals on which the function is continuous.y = 

A. continuous on the interval 
B. continuous on the interval 
C. continuous on the interval
D. continuous on the interval 

Mathematics

Find the exact value under the given conditions.Given cos u = - , with u in quadrant II, and sin v = , with v in quadrant II. Find tan(u + v).

A. - 
B.
C.
D. - 

Mathematics

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis.

Mathematics

Find the square root.

A.
B.
C.
D.

Mathematics