In Exercises 34–36, find the cardinal numbers of the sets in each given pair to determine whether the sets are equivalent. If they are equivalent, list a one-to-one correspondence between their elements.
a. Show that the set S of perfect squares, S = {1, 4, 9, 16, . . . }, and N = {1, 2, 3, 4, . . . } are equivalent sets.
b. Find the element of N that corresponds to 841 ∈ S.
c. Find the element of N that corresponds to x ∈ S.
d. Find the element of S that corresponds to 144 ∈ N.
e. Find the element of S that corresponds to n ∈ N.
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