Find the value of the left side of the schrödinger equation when aψ1+bψ2 is substituted for ψ. to make input easier, use u for u(x) and use the abbreviations −ℏ22md2ψ1dx2=ϕ1 and −ℏ22md2ψ2dx2=ϕ2. express your answer in terms of ψ1, ψ2, ϕ1, ϕ2, a, b, and u.

Classify each polynomial by its degree and by its number of terms.

Explain why the function is discontinuous at the given number a. (select all that apply.) f(x) = 1 x + 1 a = −1 f(−1) is undefined. lim x→−1+ f(x) and lim x→−1− f(x) exist, but are not equal. lim x→−1 f(x) does not exist. f(−1) and lim x→−1 f(x) exist, but are not equal. none of the above

Suppose g(x) = f(x + 3) + 4. which statement best compares the graph of g(x) with the graph of f(x)?