## Plot the heatmap of following function at 3 planes : x = 3 and z = 1. f(x,y,z) = (x^2)*(y^3)*z for -5< x,y,z < 5 Also plot the direction (3D) at which the function changes the most. (unit vectors directions)

Plot the heatmap of following function at 3 planes : x = 3 and z = 1. f(x,y,z) = (x^2)*(y^3)*z for -5< x,y,z < 5 Also plot the direction (3D) at which the function changes the most. (unit vectors directions)

### determine an approximate value for the average magnitude of the magnetic field in which the electron resides.

You have a new summer job with NASA and are working on astronomical observations using electromagnetic radiation that is not in the visible range. Your supervisor has explained 21­cm radiation….

### What advice do you give the attorney?

You are hired as an expert witness by the attorney representing a doctor. The doctor is being sued by a patient who claimed radiation damage from the doctor’s x-ray machine…..

### determine the percentage of the total molar specific heat that is attributed to free electrons in gold.

The Dulong–Petit law states that the molar specific heat of solids is 3R at higher temperatures, where R is the gas constant. For metals, this law is obeyed at room….