Estimate the area of the region under the curve y = In(x) for 1 ≤ x ≤ 5. Use the left-hand rule with n = 50. (Round your answer to four decimal places.) Numerical integration tool

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Q: Laplace transform a. L- (¹) 48 b. L-¹ { 1/2-) S5 C. 1 L-1 (2435) s²+3s. :-1 (432 +1} d. L-1

A: We have used standard formulae of Laplace transform.

Q: 5. Find the general solution of the boundary value problem для dμ = du +3e-2t sin 5x дем with u(π,…

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Q: 1. Find the Fourier Series on [-, π] of the following functions: sin² x, sin x cos x, sin³ x, and…

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Q: 1. Solve the initial value problem x'(t) = [11]x(t) + [] x(0) : -=[7]. - [8 Ste³+8e³-10e 4te³ +2e³…

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Q: 4. See the HINTS for a worked problem. The objective here is build your understanding that df (o)…

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Q: c) A pole of order 4 at zo = 4; -1 with residure 5, and a simple pole at Z₁ = -i with residue. -².

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Q: oj vergence of the power series. 1. Several weeks ago, we have given two definitions of the complex…

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Q: B-1 =₂ " 2 34 a) If A-¹ = 3 7 3 both sides by the inverse of an appropriate matrix). b= and ABx = b,…

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Q: Use Green's Theorem to evaluate the line integral of F = (x², 6x) around the boundary of the…

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