Please answer the following metric space question.

63. Let d(x, y) = ||* - yll2 be the usual (Euclidean) metric on R2, and define a second metric pon R2 by p(x, y) = || X yll2 (1 + ||x 113)'(1 + My 13 )/2 Show that d and p are equivalent but not uniformly equivalent. 63. Let d(x, y) = ||* - yll2 be the usual (Euclidean) metric on R2, and define a second metric pon R2 by p(x, y) = || X yll2 (1 + ||x 113)'(1 + My 13 )/2 Show that d and p are equivalent but not uniformly equivalent