In rsa digital signature, suppose bob wants to send a signed message (x = 4) to alice. the first steps are exactly t eps are exactly the same as it is done for an rsa encryption: bob computes his rsa parameters and sends the public key to alice. we know p = 3, q=11, and bob choose e=3. (hint: we learn rsa algorithm and key generation in week 7) (1) what is the public key pair bob sends to alice? (2) what is the value of signature s? (3) what is the value of verkpuba(x, s)? show all intermediate steps clearly.

A3-mm-thick panel of aluminum alloy (k 177 w/m-k, c 875 j/kg-k and ? = 2770 kg/m) is finished on both sides with an epoxy coating that must be cured at or above t,-150°c for at least 5 min. the production line for the curing operation involves two steps: (1) heating in a large oven with air at ts,0-175°c and a convection coefficient of h, 40 w/m2. k, and (2) cooling in a large chamber with air at 25°c and a con- vection coefficient of he 10 w/m2.k. the heating portion of the process is conducted over a time interval te which exceeds the ime required to reach 150°c by 5 min (h = r + 300 s). the coating has an emissivity of ? = 0.8, and the temperatures of the oven and chamber walls are 175 and 25°c, respectively. if the panel is placed in the oven at an initial temperature of 25°c and removed from the chamber at a safe-to-touch tempera ture of 37°c, what is the total elapsed time for the two-step curing operation?