Consider the signal ( )cos(2 )xttπ=Since 푥푥(푡푡) is periodic with a fundamental period of 1, it is also periodic with a period of 푁푁 where 푁푁 is any positive integer. What are the Fourier series coefficients of 푥푥(푡푡) if we were to regard it as a periodic signal with period 3? Explain the differences or similarities of the results. Plot the FS coefficients as a function of 푘푘 and as a function of frequency.

If the thermal strain developed in polyimide film during deposition is given as 0.0044. assume room temperature is kept at 17.3 c, and thermal coefficient of expansion for the film and the substrate are 54 x 10^-6c^-1 and 3.3 x 10^-6c^-1respectively. calculate the deposition temperature.

At 12 noon, the count in a bacteria culture was 400; at 4: 00 pm the count was 1200 let p(t) denote the bacteria cou population growth law. find: (a) an expression for the bacteria count at any time t (b) the bacteria count at 10 am. (c) the time required for the bacteria count to reach 1800.

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