A dataset appears linear when plotted as log(y) vs. log(x). The logarithms are base 10. If the line of best fit has a slope of 3, what is the relationship between x and y? y ~ x^3

y ~ 10^(3x)

y ~ x + 3

y ~ 3x

y ~ 3^x

Amass of 1.5 kg of air at 120 kpa and 24°c is contained in a gas-tight, frictionless piston-cylinder device. the air is now compressed to a final pressure of 720 kpa. during the process, heat is transferred from the air such that the temperature inside the cylinder remains constant. calculate the boundary work input during this process.

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.

Afluid flows with a velocity field given by v=(x/t)i.. determine the local and convective accelerations when x=3 and t=1.