Find the Maclaurin series of and give the radius of convergence. 1 1 Using your answer, evaluate L -dz. 2πi 25 (1-2) |=1=0.5

Q: Graph the curve given by the parametric equations below, and show its orientation. c=-t², y=-3t,…

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Q: Approximate the following integrals using the following methods. ²1²1² (₁-x²-x²) -x² - y²)dydx

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Q: Problem 8.2. Each part of this problem contains a double integral. In each case, you should first…

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Q: If the distribution of the population is bimodal, then the sampling distribution for the sample…

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Q: Find the laplace transform of f(t) =1/4 e^2t sin(2t)

A: Find the laplace transform of f(t) =1/4 e^2t sin(2t)

Q: find the laplace transform of the 1VP: y"'-4y=" e^3+t, y=0=y'(0)=y"(0)=0

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Q: [17] For each of the following equations, find general solutions; ● solve the initial value problem…

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Q: To the nearest two decimal places, calculate R5 for f(x)=x³+1 on [0, 4]. A) 44.96 B) 65.00 C) 33.77…

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Q: Let F be the field of real numbers or the field of compl

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Q: Let a and b be positive integers with (a, b) = 1. Show that if g is a primitive root (mod ab), then…

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Q: Problem 5 Let A = {m+n√2: m, n e Z}. Prove A is countable.

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Q: EXERCISE List the elements of the principal ideals in Zg , , ,

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Q: Solve for y" (2): y" - y = 0, y(0) = 12, y'(0) =

A: Differential equation and it's solution

Q: 3. Draw a hyperbolic orbit with of a =1.0, eccentricity of at (x, y) = (-1,0). the semi major oxis…

A: Solution:   Equation of hyperbola is given by (x-h)^2/a^2 - (y-k)^2/b^2 = 1 focii is at (h ± ae, k)…

Q: 2. In the topic of mensuration for secondary syllabus, we teach pupils that the volume V of a right…

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Q: Find the root of the following using the method indicated. Ea < 0.0001 1. f(x) = sin x + e -2, co =…

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Q: 1. Write out the following as the sum of two or more series Σ=1(5i + 3) Ο Σ=1(82) Ο Σ=15% + Σ=13…

A: Given series is ∑i=155i + 3

Q: 72. Show that each of the following functions is a solution of the wave equation u₁1 = a²uxx. (a) u…

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Q: Find the laplace transform of ?(?) = sin(2?) cos(2?)

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Q: Maximize Subject to Maximum is X = y = z = 2x + y x + 5y < 4x + 5y ≤ X Y 25 40 νι νι ΛΙ ΛΙ 00 at

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Q: f you use plurality method. whose restaurant will win? Johnny Joey Rina Anna If you use plurality…

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Q: Series solution of variable-coefficient ODE Consider the variable coefficient linear second order…

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Q: In Exercises 1-4, apply the Jacobi method to the given system of linear equations, using the initial…

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Q: 11. Integrate G(x, y, z)=x√y² + 4 over the surface cut from the parabolic cylinder y² + 4z = 16 by…

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Q: Let R1 and R2 be the relations represented in the matrix. 111 1 100 1 0 1 1 1 11 0 0 0 1 1 0 1 0 R1…

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Q: is basis for the subspace W. Step1: Start the Gram-Schmidt process from the first vector to get an…

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Q: 1. The Laplace transform of f(t) = = t³ (sinh2t - cos2t) 14 2. The laplace transform of f(t) = et 3.…

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Q: Verify the initial value theorem of f(t) = 1 +e¯t[sint + cos os t]. 3 1 0 2

A: Solution :- As per guidelines I solve only first question .

Q: Q6' a. Show that if a, b, c, d = Z with a +b√2 = c+d√2, then a = c and b=d. You may use, without…

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Q: Let f be a real-valued function continuous at the point a = (a1, a2) in R2. Keep a2 fixed and define…

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Q: 17. Consider the DE y"+by'+cy = 0. If y₁ is a solution of the equation, what conditions must be…

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Q: 1 . Let v = [] 2 ER³. Find an orthonormal basis for Span(v), the orthogonal complement of -2 the…

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Q: Find all possible solutions of the equation cos z = = 2√15.

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Q: x+y=z=6 3x - 2y + z = -5 x + 3y2z = 14 Solve value of x, y and z using LU Decomposition Method

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Q: [17] For each of the following equations, • find general solutions; • solve the initial value…

A: (d) Given that 2y"-3y'=0 To find the general solution of the above differential equation.

Q: Type only your answers. 6. A class is composed of 32 boys and 12 girls. What is the percentage of…

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Q: (8) Find the first few terms of the Laurent series for the function 1 1 1 f(z) z² sinh z ³1++ 5! in…

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Q: a. Use Power Series to find the solution of the homogeneous DE given by + 3xy = 0. d²y dx² b. Start…

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Q: w + 2x -y +z = 6 -w+x+2y-z = 3 2w-x + 2y + 2z = 14 w+x-y + 2z = 8

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Q: Determine the Laplace Transform of the following functions. Show your detailed solutions. 9. f(t) -1

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Q: 1. Given the system x² = ( 3 − ² ) ** -6-1 3-2 (a) Write the general solution. (b) Classify the…

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Q: Suppose the pentagon below represents the base of a pentagon prism that has a height of 8 inches.…

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Q: Find the laplace transform of f(t) = e^t3

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Q: 50 Evaluate Σ j=1 1 j+1

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Q: A function that is uniformly continuous on a set S is not necessarily continuous on S.

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Q: 2S-1 s²-6s+187 L-¹ {

A: