A revolving beacon is situated 3000 ft off a straight shore. If the beacon turns at 4n rad/min., how fast does the beam of the beacon sweep along the shore at: a) its nearest point. b) At a point 4800 feet from the nearest point.

Q: (c) Solve the equation f (x) = 2x2 – 5x – 4 = 0 %3D in Z7. (You only need to find the first two…

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Q: cos e sine 1. Show that the matrix A =| is nonsingular, and compute its inverse. – sin cose

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Q: (b) Write as a 5-adic number. (The first three digits suffice.) 17

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Q: 1 (a²- a→1 (a²-4a+3)3 (а?+4а-5)2 4. Evaluate: lim

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Q: 5. Given the following graph 8(*), determine 41 a) g(0) = 2 b) x when g(x) = 0| c) Domain = -2 Range…

A: see below the answer Domain:- All those points x such that the function f(x) exists.Range:- All…

Q: Find the solution of the given initial value problem. ty+3y=t²t+7, y(1) = 6, t> 0 Y ||

A: This is a Initial value problem from Differential equation and let us find its particular solution…

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Q: Use Fixed-Point Iteration Method to obtain a real root of a - 5a +1 = 0 with ro O accurate to six…

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Q: (f) For each of the following families of distributions, explain whether it is an exponential…

A: Cauchy distribution does not belong to exponential family.

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Q: Use Laplace transform technique to solve the initial value problem y' + By = g(t), y(0) = C 0 0 ≤ t…

A: Use the Laplace transform technique to solve the initial value problem:  y'+By=gt,   y0=C Where,…

Q: 12 dx x3 - 2x -63X answer In (x -9) 3 I In Xt In (x+7) + C' 12 21 28

A: Solution:GIven∫12 dxx3-2x2-63xFormula:∫1xdx=log x+C

Q: Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable…

A: In this question, the concept of the Bernoulli Equation is applied. Given  t2y'+4ty-y3=0

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Q: 3r5 dx V2 – x3

A: ∫un du = un+1n+1+C.

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Q: 2. y" + 2y' + y = 8(t – 1) + e2t y(0) = 0, y'(0) = 0

A: Given differential equation is y'' + 2y' + y = δ(t-1) + e2t  with   y0 = 0  and  y'0 = 0

Q: sin x (cos x + 4) dx 1+cos²x

A: SOLUTION-

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A: The given function

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Q: 2. Find the Fourier transform of f(t) defined by: -5. -T st<0 0<tST 0 Elsewhere f() = 5. where T is…

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Q: |y4n+1 + y"/y²n+1

A: