If x is a string, then xr is the reverse of the string. for example, if x = 1011, then xr = 1101. a string is a palindrome if the string is the same backwards and forwards (i. e., if x = xr). let b = {0, 1}. the set bn is the set of all n-bit strings. let pn be the set of all strings in bn that are palindromes.(c) determine the cardinality of p7 by showing a bijection between p7 and bn for some n.

Acommercial grade cubical freezer, 4 m on a side, has a composite wall consisting of an exterior sheet of 5.0-mm thick plain carbon steel (kst= 60.5 w/m k), an intermediate layer of 100-mm thick polyurethane insulation (kins 0.02 w/m k), and an inner sheet of 5.0- mm thick aluminium alloy (kal polyurethane insulation and both metallic sheets are each characterized by a thermal contact resistance of r 2.5 x 104 m2 k/w. (a) what is the steady-state cooling load that must be maintained by the refrigerator under conditions for which the outer and inner surface temperatures are 25°c and -5°c, respectively? (b) for power saving purpose, which wall material should be increased/reduced in. thickness in order to reduce 50% of the cooling load found in part (a)? redesign the thickness of the proposed material. 177 w/m-k). adhesive interfaces between the q=575.93 w