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- Determine whether the function f:(-1,00) → R defined by f(x) = 3 x+1-e 3 + x is concave or convex. c (a) f: (-1,00)→ R defined by f(x) = 3√√x+1-e-4x + x.Which of the following statements describe principles or rules you should consider when writing an electron configuration? Select all that apply. Multiple answers: Multiple answers are accepted for this question Select one or more answers and submit. For keyboard navigation... SHOW MORE v a no two electrons can have the same spin in the same orbital b electrons occupy orbitals from higher to lower energy levels electrons should be divided among different orbitals within the same subshell to avoid pairing if possible d electrons occupy orbitals from lower to higher energy levels e paired electrons must have the same spin One more question about sulfur! Which of the following pictures represent orbitals in a sulfur atom in its ground state? Select all that apply. A. В. C. D. Е. B.Given f(x) = x+1 and g(x)= = cos x, determine the domain of the function f(g(x)).
- Find an expression for the indicated set, involving A,B,C, and any of the operations u, n, - (subtraction), and '(complement): {x | x is an element of exactly one of the three sets A, B, and C}Evaluate the integral below between the limits t=0 to t (x=0) (x) Show that A+B -d[A] dt dx dt = K₂ = Products = = K₂ [A][B] K₂ (a − x)(b − x) 1 t(a - b) - In b(a - x) a(b - x)b) Determine the commutator i.e. [θ‚΂] = (΂΂ − ΂΂x)ƒ(xyz) = ?
- 4-14. Determine whether or not the following pairs of operators commute. Â B (a) (b) d dx X (c) SQR (d) x². dx d² dx² d dx SQRT d² dx² d dx +2.Consider the simple functions below, f(x) = x? (1) f(x) = x³ (2) f(x) = x* + 2x3 (3) f(x) = sin(x) (4) f(x) = cos(x) (5) f(x) = e* (6) f(x) = sin(x) + cos(x) (7) f(x) = cos (x) + sin?(x) (8) f(x) = cos(x) +1 (9) f(x) = sin(x) + x (10) (a) Of the ten which function(s) are odd. Indicate them by their equation number and draw a box around your answer. (b) Of the ten which function(s) are neither even nor odd. Indicate them by their equation number and draw a box around your answer.A one-particle, one-dimensional system has the potential energy function V = V₁ for 0 ≤ x ≤ 1 and V = co elsewhere (where V, is a constant). a) Use the variation function = sin() for 0 ≤ x ≤ 1 and 0 elsewhere to estimate the ground-state energy of this system. b) Calculate the % relative error.
- If the non-normalized wave function (1-x/b)is e-x/2b, remove the normalized state.Use linear approximation, i.e. the tangent line, to approximate 2.86³ as follows: Let f(x) = x³. The equation of the tangent line to f(x) at a = 3 can be written in the form y = mx +b where: m = and b = Using this, we find our approximation for 2.86³ isDefine the term lambda max (λmax)