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Q: Use an appropriate substitution and then a trigonometric substitution to evaluate the integral. S…

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Q: [49] Consider y'= 1-2t + 3y, y(0) 0.5. Find approximate values of the solution at t = 0.1, 0.2, 0.3.…

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A: y''+t-10t-5y'-sin9tt-4=t-6t-9y6=4y'6=-3

Q: Graph the periodic function and find its Laplace transform: f (t)= [m, 0<t <1 t, 1<t <2

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Q: 21. x²y" - x(x+2)y' + (x + 2)y=0, x > 0; Ji(r) = x, y(x) = Xe*

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Q: 7. Use Gauss elimination to solve the equations Ax A = [23132 b, where 524 - 1] b = [39 - 5] =

A: Solving this given problem by Gauss Elimination method:

Q: Determine whether the given subset is subspace of R^3 W={(x1,x2,x3):x1+x2+x3=0}

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Q: Internet Connections The following pie chart shows the relative frequency distribution resulting…

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Q: | Find the Laplace transform of f(t) = = 2229 2t - 8 te 21 t 6.

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Q: Το test the series Σε n=1 so we could also investigate convergence using other methods.) of [.. -5n…

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Q: Exercise 1: The point of this exercise is to calculate G(K/Q) where K is the splitting field of x5 -…

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A: The property of the double integral :-

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A: Let s be the length of an arc of the y=f(x) from A(a,b) to B(c,d)  , then  ds/dx = sqrt(1+(dy/dx)² )…

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Q: Solve h" +4h' + 3h = 8(t), h(0) = 0, h'(0) = 0. Express the forced response of y" + 4y + 3y…

A: L{eat}=1/(s-a) . L{F(s)G(s)}=f(t)*g(t) L{delta(t-a)}=e-as  , so L{delta(t)}=1 .

Q: EXERCISES 8.5.8. Assume a, b € N+. 1) Show a and b are relatively prime iff there exists x € Z, such…

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Q: 4. Show that e²+y = e²e² for all x, y € R, by only using (ef(¹) = f'(t)eſ(¹) and eº = 1, as follows:…

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Q: Test the series below for convergence using the Root Test. Σ( 4n 9n + 5 f(n) n The limit of the root…

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Q: T.V. Allied Radio T.V. Radio 20 -0.7 -05-05

A: For the given game payoff 2-0.7-0.5-0.5 To find the optimum strategy and the value of game.

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Q: Assume that sin(z) equals its Maclaurin series for all z. Use the Maclaurin series for sin(3²) to…

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Q: Use Newton's method to approximate all the intersection points of the following pair of curves. Some…

A: The given function is y=7sinx and y=9x5.   The newton method for approximating the zero of a…

Q: In a survey of 400 Latin music downloads in a certain year, 200 were regional (Mexican/Tejano), 110…

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Q: Find the angle between the vectors. 0 = u = (cos, sin), v = (cos, sin 5) 4 radians

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Q: is a solution of the differential equation Cn+2 = then its coefficients Cn are related by the…

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Q: Consider the problem: Determine whether the following system of 4x 8x ations is consistent: 2y + 7z…

A: The solution is given by

Q: Calculate the relative frequency P(E) using the given information. N = 500, fr(E) = 300 P(E)

A: The formula to calculate the relative frequency is given by:       Relative Frequency=Frequency of…

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Q: 3. Let C be the curve with parametrization given by r(t) = (t − 1)i +3t²j + tk for t € R. The…

A: Given  r(t)=(t-1)i +3t2j +tKand the point  (0,3,1) corresponds to t=1then drdt  can ber ,(t)…

Q: H.W Solve the following differential eq y" - 2y' + y = x³ ex.

A: