Final answer:
The question appears to involve finding the rate of change of a temperature function with respect to distance and also touches on equilibrium conditions in physics, possibly within the context of statics.
Step-by-step explanation:
The student's question seems to be about finding the rate of change of the temperature function T(x,y)=(94)/(3+x2+y2) with respect to distance at a given point.
This involves partial differentiation, a concept in multivariable calculus, which falls under the physics category when discussing temperature distribution.
Equations that include aspects such as Fnety = TLy + TRy - w = 0 and trigonometric relationships indicate a problem that could involve forces in equilibrium, commonly found in statics, which is a branch of physics.
For instance, when analyzing tension in cables (TL and TR) and considering weight (w), we might apply trigonometry to resolve these forces into their components and use equilibrium conditions (sum of forces equals zero) to find unknown variables.
If dealing with a quadratic equation like at2 + bt + c = 0, one would use the quadratic formula to find the variable t that might represent time in a physics context.