Problem 1: develop the weak forms of the given differential equation(s) over a typical finite element, which is a geometric subdomain located between x = xa and x = xb. note that there are no "specified" boundary conditions at the element level. therefore, in going from step 2 to step 3 of the weak-form development, one must identify the secondary variable(s) at the two ends of the domain by some symbols and complete the weak form. where u and v are the dependent variables, a, b, f, and q are known functions of x. also, identify the primary and secondary variables of the formulation. hint in equation 1 w and v must match and in equation 2 w and u must match. problem 2: use cramer’s rule to determine the unknown constants for the quadratic approximate solution developed in class. show all steps. problem 3: using the definition derive the interpolation functions in local coordinates for both a linear and quadratic element. for the quadratic element assume the second point is located at the midpoint of the element. show all steps.