What are the x,y coordinates of the lowest point of the valley and what is the elevation at that point?

Given m=3, find the equation of the line in slope-intercept form passing through the point (5,5)

A slope distance was measured between two points (A and T) and determined to be 4788.68 feet. At point A the elevation is 857.23 feet and at point T the elevation is 877.96 feet. What is the horizontal distance between A and T?

Let u be the solution of the initial boundary value problem for the Heat Equation, дли(t, х) %3D 2 д; и(t, х), 1€ (0, о), х€ (0,5); with non-homogenous Dirichlet boundary conditions u(t, 0) = 5 and u(t, 5) = 3, and with initial condition (0). e 0, 5, u(0, x) = f(x) = 3, The solution u of the problem above, with the conventions given in class, has the form 00 u(t, x) = uE(x) +E en Un(t) wn(x), n=1 where ug is the equilibrium solution with the boundary conditions above and the functions vn, w, satisfy the the normalization conditions v„(0) = 1 and = 1. Find the functions uE, Un, Wn, and the constants Cn. ug(x) = 2/5pi Σ vn(t) = e^-((2n^2pi^2)/25t) Σ w„(x) = sin((pixn)/5) Σ Cn = (2(-2cos((pin)/2)+5-3(-1)^n))/(pin) Σ