15.5 Find the Laplace transform of each of the following functions: (a) t 2 cos(2t + 30°)u(t) (b) 3t 4 e−2t u(t) (c) 2tu(t) − 4 __d dt δ(t) (d) 2e−(t−1) u(t) (e) 5u(t∕2) (f) 6e−t∕3 u(t) (g) dn ___ dtn δ(t)

Steel is coated with a thin layer of ceramic to protect against corrosion. what do you expect to happen to the coating when the temperature of the steel is increased significantly? explain.

Coiled springs ought to be very strong and stiff. si3n4 is a strong, stiff material. would you select this material for a spring? explain.

Consider a large isothermal enclosure that is maintained at a uniform temperature of 2000 k. calculate the emissive power of the radiation that emerges from a small aperture on the enclosure surface. what is the wavelength ? , below which 10% of the emission is concentrated? what is the wavelength ? 2 above which 10% of the emission is concentrated? determine the wavelength at which maximum spectral emissive power occurs. what is the irradiation incident on a small object placed inside the enclosure?