(Heat transfer) The energy radiated from the surface of the sun or a planet in the solar system can be calculated by using Stefan-Boltzmann's Law: E = o x T4 E is the energy radiated. o is Stefan-Boltzmann's constant (5.6697 x 10-8 watts/m2K4). Tis the surface temperature in degrees Kelvin (*K = °C + 273). a. Determine the units of E by calculating the units resulting from the right side of the formula. b. Determine the energy radiated from the sun's surface, given that the sun's average temperature is approximately 6000°K.

(a) Write a code to compare flow over a cylinder with circulation (where vortex strength K = 4лaU). Where the radius of the cylinder is radius, a=1 m, and the uniform flow magnitude U=14.5 m/s. (b) Plot a pressure profile as a function of distance at y=0.

3. [10 points.] Show that these three statements are equivalent, where a and b are real numbers: (i) a is less than b, (ii) the average of a and b is greater than a (iii) the average of a and b is less than b.