Use Laplace transform to find the bounded solution in x > 0, t> 0 of 8²0 əx² with 20 Ət 0=2e-2 at x = 0, t > 0 0=1 at t=0, x > 0

Q: Assume: (1) FIT calculated by percentage method and (2) Social Security 6.2% on $118,500; Medicare…

A: Based on the wage brackets provided, let's analyze how income tax withholding is calculated for a…

Q: Find the Laplace transform of f(t) = 2 Bt + C 0 ≤ t < (D+1) t≥ (D+1)

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Q: L{f;je*sin(t- t)dr}.

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Q: Define stpes to obtain the general solution of a 2nd order homogeneous ODE with real coincident…

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Q: using con |' 1 P+ (1)

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Q: 1) x(t) = 1(t- 47T)

A: Solution 1: Given function is x(t)=1(t-4T)           (1) Let the z-transform of x(t) is X(z)…

Q: evaluate the integral 1-dx

A: To evaluate the following integral.

Q: 1 =dx <1 Prove 4 4

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Q: Let Y = Σ(Xi-X)² ~ X² (n-1) Using the TRANSFORMATION THEORY Find the distribution of S²= E(Xi-X)²…

A: Given Information: Consider  Y=∑Xi-X¯2σ2~χn-12

Q: 1- Selve the follocwing first - order differential equation:- dy (xy+2ど)= xy + y a Xeて

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Q: By using convolution theorem for Laplace transform, prove that 1 L-1 + x}={erf (2√x) PVp +4

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Q: In the context of ordinary least square (OLS): Given mịn- ||Y – Xß||? Use derivatives to derive the…

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Q: solve with fourier serires

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Q: determine the singular points of the given function, type of these points and calculate their…

A: The given function is                                      f(z)=1z2-4z+13

Q: ∞ sin2x dx (x²+1)²

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Q: f(x) = { 2x³ x < cos x x ≥ SINEIN 2 2

A: f(x)=2x3x&lt;π2cosxx≥π2 We know Lfx=∫0∞fxe-sxdx

Q: Q1) Laplace transform of function f(t) = t² where t 2 0 is ....... a) b)금 d) 115 11 1

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Q: The linear functional F: R^2[x] -&gt; R is defined by the formula F: p -&gt; ∫(from 1 to 0) p(t)dt.…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the la place Transfo F($) = t 2 Z F(t) = te

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Q: d the Laplace transform F(s) of f(t) = 5tu(t – 4) F(s) = (5/s^2+10/s)e^(-5s)

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Q: Find the bounded อน əx solution of อน 2 + U if U(x, 0) = 6e-3x. at

A: We have ∂u∂x=2∂u∂t+u  The initial condition is ux,0=6e-3x Now, ∂u∂x=2∂u∂t+u can be written as…

Q: 4 + cos t -dt 1 – sin t

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Q: Write down the definition of the laplace transform in terms of an improper integral and use it to…

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Q: xt) t osh 3t sinh 3t + ws (ot - )

A: If f(t) is a function of t defined for all positive values of t. Then, the Laplace transform of the…

Q: Jav f(u) /2x² + 12dx takes the form (и)du.

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Q: Find linear and quadratic least square polynomials to f(x) = e on [-1,1].

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Q: find the time taken by an igloo in the shape of a parabola y=5x^2 which is hitted up at the initial…

A: Solution: The Gauss divergence theorem states that the total flux of a vector field through a closed…

Q: Compute sin (3r)dr (25z4+1)2 -

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Q: Expana X-y+3y-2 in powers of x-I and y+2.

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Q: Two waves on a string are given by the following functions: yı (x, 1) = 4 cos(20 – 30x) (cm) y2(x,…

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Q: Find the inveerse Lapace Transform when F(s)= (8s2-24s+32)/(s*(s2+16)).

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Q: Find the Laplace transform, 0 0st<5 g (t) = { (t-5)² t25 O e^-5s/s^3 O (2e^-5s)/s^3 O (2e^-5s)/s^2 O…

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