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.

The mass flow rate of the fluid remains constant in all steady flow process. a)- true b)- false

Afour cylinder four-stroke in-line engine has a stroke of 160mm, connecting rod length of 150mm, a reciprocating mass of 3kg and its firing order is 1-3-4-2. the spacing between cylinders is 100mm. i. show that the engine is in balance with regard to the primary inertia forces and primary 3. a and secondary inertia couples. li determine the out of balance secondary inertia force ii. propose ways of balancing this out of balance force and discuss the challenges that will arise

An ideal otto cycle with air as the working fluid has a compression ratio of 8. the minimum and maximum temperatures in the cycle are 300 k and 1340 k. use constant specific heats at room temperature to determine (a) the amount of heat transferred to the air during the heat- addition kj/kg, (b) the thermal efficiency, and (c) the thermal efficiency of a carnot cycle ope limits. process, in rating between the same temperature