These data represent the net worth (in millions of dollars) of 45 national corporations. Frequency 2 7 8 8 9 11 Class 10-20 21-31 32-42 43-53 54-64 65-75 Find the mean of the data set. If necessary, round to the nearest whole number.

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Q: (a) The initial value problem discribing the situation of the problem is defined by:

A: To find the ODE and its solution.

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Q: Match the definiteness property to following matrices 00 -7-2 2 A [83] B =[ 2 3].C-[³₁3] and D-[3²]…

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Q: d) Determine whether Prove it, if not give Ris e) Determine whether If not Ris antisymmetric a…

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Q: 4s +4 (c) Find the inverse Laplace transform of Y(s) — ² + 4s +13) (d) Find the inverse Laplace…

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Q: Evaluate the triple integral I = O A. I = OB. I = 36 36 O c. 136 ⒸE. I = 0 OD. I = (3T) 3⁰ 3(x² +…

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Q: [1000] 0210 0020 0003 1. By computing the eigenvalues of A and B, show that A and B are not similar.…

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Q: (a) Find the curvature and torsion for the circular helix x = a cos 0, y = a sin 0, z = a0 cot a a…

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Q: Use Green's Theorem to evaluate the line integral along the given positively oriented curve. S ((3xy…

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Q: 5

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Q: Evaluate S (x + y)dxdy, where R is the trapezoidal domain with vertices given by (0,0), (5,0), (5/2,…

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Q: Find L{f(t)}. (Write your answer as a function of s.) f(t) = {t₁ L{f(t)} t, 0≤ t 0)

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Q: ∞ If 0 ≤ f (x) ≤ g (x) and f(x) dx diverges, then 5. g(x) dx also diverges.

A: Solution:-

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Q: 15.5, 4

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Q: 2. a) Answer True or False. Justify your answers. {2,33 € {1,2,3 {1,333 {1,23 CE₁, E23, 3, E1, 233…

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Q: Use the method of Laplace transforms to find the solution y(t) to the initial value problem t y" +2y…

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Q: # 75 Find y'(7/2) - e-¹-74 if y solves the initial value problem y + sin(2t)y = sin(2t), H y(0) = 1,…

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Q: (d) f(x) = cos(x) (e) f(x) = x² sin(x)

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Q: (2) Find a power series for the function centered at 0. 3 1 (x + 1)² 1 (x + 1)³ (a) f(x) = (b) f(x)…

A: Taylor series about x=0,

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A: According to the guidelines, only one question can be answered. The given function is f(x)=4xx2+2.…

Q: How many different arrangement could be made with the letters M  P   M   C   P  M a. 6!/(3! 2!)…

A: The letters are given by      M  P   M   C   P  M M = 3 P  =2 C = 1

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Q: 25 D 16 B Apply the nearest neighbor algorithm to the graph above starting at vertex A. Give your…

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Q: B = M - 5C2  making C the subject of the equation we get C =

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Q: (a) Complete the Intermediate Value Theorem: If f is continuous on an interval I, assume that a, b €…

A: Solution is given below.

Q: Q17. Suppose M is a stochastic matrix representing the probabilities of transitions each month.…

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Q: If tangent to a curve makes a constant angle constant angle a with fixed line, then o = ± ptan α.

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Q: Find the flux of the following vector field across the given surface with the specified orientation.…

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