1. Verify that the function U(x, y; t) = e-a kitcos *sin (y is a solution of the "Two-Dimensional Heat Equation": a Uxx + a U = Ut Solution of the heat equalion 0 -2 0.5 0.05 0.02 0.03 0.04 0.01In problems 2 - 10, we consider a simple electrical circuit with voltage V (measured in volts), resistance R (measured in ohms), V R and current / (measured in amps). These three positive variables are related to one another by "Ohms' Law": V= IR. We may Basic Electrical Circuit consider this law as written, rewrite it as : I = I(R, V) = V R or R = R(I, V) = I = R Georg Simon Ohm Ohm's Law 2. Evaluate 1(3, 12) , and describe in a complete sentence what this means