What is the expected number of times a 2 appears when a fair cubic die is rolled 360 times?

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Q: 1. Use formulas (2)-(5) to find the Laplace image of the given function (a) 2e-3t (d) 7sin4t - 1 (g)…

A: According  to the guidelines I have answered  first three  sub parts.Kindly repost the another  sub…

Q: A allulo|u|- B с D E F A B 40 C D 40 9 19 30 9 19 E 35 5 31 6 50 30 5 6 35 31 50 44 8 18 42 23 29 44…

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Q: Exercise 5.8.2 Let B = in R². Find CB(x). {[+][6][+])} 0 be a basis of R³ and let x = 5 -1 4 be a…

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Q: A B C D E F A D -- B 51 51 36 45 -- с 36 45 D E F 8 14 58 35 16 23 47 52 20 55 53 12 8 35 47 14 16…

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Q: Prove the following for any given sets A, B, C and D. ACB if and only if AUB=B

A: The given problem is to prove that for the given sets A,B,C,D. A subset B if and only if A U B= B.

Q: 1. Use formulas (2)–(5) to find the Laplace image of the given function (c) 5e²t - 2t3 (f) 1+ sin…

A: Laplace transformation of the functions

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Q: Exercise 7.2.2 Find the eigenvalues and eigenvectors of the matrix -13-28 28 9 -8 -8 9 One…

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Q: 1. Use formulas (2)-(5) to find the Laplace image of the given function (a) 2e-3t (d) 7sin4t - 1 (g)…

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Q: 53) Rewrite the integral (-1/1)(x²/1)(0[1-y) f(x,y,z) dzdydx

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Q: Problem 5.1_6 Find the Fourier series for the following 0, sin(2t), 0, - ≤t≤-π/2 -1/2 ≤t≤ = /2…

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A: The given augmented matrix of the system 2-5|5 2-6|16 We have to find the value of x1.

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Q: Suppose that x² - 2y² = 1² and y=tsin 0. Find (7). 0 (77) ¹(2), and 0

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Q: MATHEMATICAL ASSOCIATION OF AMERICA < webwork/math 135_fernando_fall2022 / q3 / 8 Q3: Problem 8…

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Q: The instant when the concentration is of salt in the tank reach 0.02kg/L is A. 4.19 OB. 8.28 OC.…

A: Let mass of salt at any time t is  y Rate of change of mass of the salt with time t is  dydt Rate at…

Q: 1. Determine the eigenvalues and the associated eigenvectors of each of the following matrices.…

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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: Define T: (C([0, 1]), 11•11)→ C by 1 Š 0 Show that T is bounded and find || T ||. Tf = f(t) dt.

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Q: Prove that Serret-Frenet formulae can be written in the from t' = dxt, n' = dxn, b' = d xb and…

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Q: Let S be the solid obtained by rotating the region bounded by C1: y = x2 − 6x + 9 = (x − 3)2 and C2:…

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Q: Provide an appropriate response. Find the derivative of y= Oy = 9x2 + 8x-3 Oy=9x2 + 8x-3 9x² y' =…

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Q: 3. Solve the differential equation (a) r" - 91 = 5e²t (d) I" - I' = 8e²t (g) I" - I' = 6 sint (b) r"…

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Q: Use the Laplace transform (a) x' — 5x = e-2t, Isitne Joh auto (b) x' + 3x = 3t+7, x(0) = 1 (c) x" +…

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Q: a) by using the complex exponential form, do the following calculation   (1.1674+0.6.74i)^6   b)…

A: Given (a) z=1.1674+i 0.674 (b) md2xdt2=-kx. To find (a) z6 in exponential form. (b) x=ReAei tw.

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Q: Use the RK4 method to approximate y(1.2), where y(x) is the solution of the initial-value problem…

A: x2y''-2xy'+2y=0y1=2y'1=7

Q: 2 Calculate shown in the figure below. 1 >0 -1 -2 0 ydxdy R over R that is bounded by curves 0.5…

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Q: Show that Þ(u, v) = (2u + 6, u — v, 3u + v) parametrizes the plane 2x - y - z = 12. Then: (a)…

A: Given, Φ(u,v) = (2u+6, u-v, 3u+v) The plane 2x - y - z = 12

Q: Let V be the plane with equation 2₁-522+623= 0 in R³. Find the matrix A of the orthogonal projection…

A: Given that  v=273-2  and the basis set is 510,-601 , let  u1=510 and u2=-601 part(1):…

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F = (4y²…

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Q: Compute the surface integral over the given oriented surface: F = (0, 4, x²), hemisphere x² + y² +…

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Q: (d) f(t) = 0, t-π 0, t 2π

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