(McQuarrie Math A-6) Show that the following two identities are true: Cos +e-io 2 (McQuarrie Math A-9) Consider the set of functions: sin eio 1 Dm(0) ітф = for m = 0, 1, 2, ... and 2πT First show that: 2π √ doom(0) = 0 -{ if m 0 √√√2π 2π if m = 0 Now show that: 2π 0 if m n dom(0) (0) = 1 if m = n - 2i -i0 e
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- 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)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.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.
- b) Determine the commutator i.e. [θ‚΂] = (΂΂ − ΂΂x)ƒ(xyz) = ?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.Which set of values is a function? (3,4) (4,3) (7,4) (3, 8) (6,-5) (7,-3) (8,-1) (9, 1) (2, -2) (5, 9) (5, -7) (1,4) O (9,5) (10,5) (9,-5) (10,-5)
- Evaluate cach of the following expressions. a) Îv320 = c) E3p.) = d) Jy*120L4121 dt = all space3) (2 points) Determine if the following function are acceptable or not as a state function over the indicated interval. If it is not acceptable, explain why. This question is not asking you to solve the Schrödinger equation, but rather simply comment based on the shape of the function. a) ex b) ex (-00,00) (0,∞) c) sin-1 x (-1, 1) d) elxl (-00,00) e) 7x² (-5,5)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}
- For the folloun set of Quentim #'s Specif u Whether the set i5 valid or in valid 4ナ工 valid descnbe is in. If it is invalid, exp1aen yHM fuam m the values A) n= 3 1s 3 n=2 1-1 ○-とu /-Given f(x) = x+1 and g(x)= = cos x, determine the domain of the function f(g(x)).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.