olve for the Laplace Transform of f(t) = e4t+ sin 2t

Q: III. Determine the 5th degree Maclaurin's series of the given function below: 1. f(x) = In (1+2x) 2.…

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Q: Evaluate cos(521.32') O 31.1133 +j59.0023 O 20.5606-j 60.0349 O-14.5542-j 45.5043 O-61.0003…

A: Sol:-

Q: L-¹{F(s)} = f(t), Then L-¹{F(as)} is equal to ans. f(:-) None of these f(t)

A: Inverse Laplace transform

Q: Find a power series expansion for g(x):= f(t) dt given the expansion for f(x). 0 f(x) = sin 19x 19x…

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Q: 1. Vincent needs to visit the pet store, the shopping mall, the local farmers market, and the…

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Q: Let A = {5, 6, 7, 8, 9}, B = {7, 8, 9, 10, 11}, and C = {6, 9, 11}. a. Find An B. b. Find AU B. c.…

A: Given: A={5,6,7,8,9} B={7,8,9,10,11} C={6,9,11}

Q: (3). Use the Gaussian elimination and four-digit rounding arithmetic to solve the following linear…

A: Given the linear system is  0.03001x1+58.81x2=59.115.310x1-6.101x2=47.00

Q: Determine X(S) expressed as a rational polynomial with simplified numerator and factored denominator…

A: *By Bartleby policy I have to solve only first one as these are all unrelated problems,but I am…

Q: Refer to the following normal curve, with mean µ and standard deviation o. The mean μ = 30 95% of…

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Q: Find the value of 4 sinc² (a)o dt

A: Given,           4∫-∞∞sinc2t4dt

Q: 56 R 27° 72° M 10. What is m/LJM? 11. If KR= x + 7, KM = 3x - 5, and JL = 4x - 10, what is JR?

A: 11 Consider the given figure. Given KR=x+7, KM=3x-5 and JL=4x-10. We have to find the JR. In a…

Q: Consider the following function. f(x) = x6/7, a = 1, n = 3, 0.8 ≤ x ≤ 1.2 (a) Approximate f by a…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: In Problems 3.26 through 3.35, differential equations are given in both standard and differential…

A: A Differential equation of the form y'=f(x,y) is homogenous differential equation if…

Q: J

A: Given as, 3×5 matrix. H=010011010100111

Q: (b) Find the Fourier Series for the function as following f(x) = { 1 0<x<3 -1 on [-3,3]

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Q: Consider the differential equation: y" + y = sinx Solve it using all three methods that we learned…

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Q: c) x + w²/x = t, x(0) = 0 and x(0) = 0

A: The given differential equation is x''+ωn2x=t where x0=0 and x'0=0 To find: the solution of the…

Q: Create a truth table for the statement: r⇒ (p^q)

A: Answer :- Truth Table can be formulated as given below:-

Q: Solve the equation. Give your answer correct to 3 decimal places. 75 1 +5e X = 65 = -0.7x

A: Solution:-

Q: 5. x' = 1 1 6 161 611 X

A: We solve by eigenvalue and eigenvectors method.

Q: The data below show the number of car thefts in a city for a period of 20 days. Complete parts (a)…

A: Sol:- Given data:- 50,63,68,56,51,66,55,49,71,37,67,54,77,65,54,47,82,77,72,76 Arrange the data in…

Q: Give a combinatorial proof of the identity: -1 k(²) = n(n=¹) k-1.

A: Use the following combinatorial formulae, to obtain the result. nr=n!r!n-r!n!=nn-1!

Q: 1, 2, 3, 4 LeT X = find The Possible Topology That Contain seas { 1123 , 2, 3, 1, 3, 4

A: Given : X={1, 2, 3, 4} To Find :  possible topology that contain {1 ,2 } ,{ 2, 3} ,{1 ,3 , 4} .

Q: Solve the given differential equation by undetermined coefficients. y" + 2y'=2x+9-e-2x

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Q: Given the set of points for the image and preimage, identify the composition of transformations and…

A: Introduction: The linear transformation incorporates with the transformation in Euclidean geometry.…

Q: (a) Suppose X U (0,n), where n is a positive integer X-[X] U (0, 1). (b) Use the result of (a) to…

A: De Moivre's theorem gives an axiom for computing the powers of complex numbers. We first gain some…

Q: 2. The circle, if the center of the circle of radius 3 lies on the line x + 2y = 4 and it is tangent…

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Q: Cn= Ilz = = JT12 1 -jnwo -jnwet dt -jnwot e T12 1 1 -7/₂2 To To 4/2 [² jn nire To 4/2 लहन =+o Can…

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Q: The graph shows how the value of a car depreciates each year. This graph helps to find the trade-in…

A: From the above we have,

Q: Q2 (A) At what points f(x, y, z) in which the function f(x, y, z) = -√x²+y² is Z- continuous?

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Q: [fF. F.ds where F = xyi - y²j+zk and the surface consists of the three S surfaces, z = 4 - 3x² -…

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Q: (Complex Numbers: Polar Form: de Moivre's Formula). (a) Find the polar form of each of the following…

A: Solution i: Given complex number is z=4+4i Using the formula of modulus z=42+42=42=r…

Q: 5) f(x) = ²-4 x-2 4 if x # 2 if x = 2 Is f(x) continuous at x=2? Sketch the graph of the function.

A: (5) Solution:- Function can be written as :- Continuity of x2-4x-2:x&lt;2  or   x&gt;2, &amp;  4  :…

Q: Assuming that the function f has continuous second partial derivatives and that a and b are…

A: Here we have given that f has continuous second partial derivative and also a and b are constants.…

Q: 2) For the vector field F(x, y, z)=(xz²-x²y)i + (xy²-y³2²)] +xy²z³k, find the following: a) Find the…

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Q: Solve dx = y dz dy = -x dz for X=0-5 X (0) = 0 Y(0) = 1

A: Given that dxdt=y, x(0)=0dydt=-x, y0=1 Differentiating first equation, we get…

Q: Solve the homogeneous system of equations whose coefficient matrix is 1 -2 -2 2 2 -4 1 1 1 1 A = -2…

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Q: How would you put the last question answered in a truth table? For example setting particular…

A: Given: The argument, ∀xPx∨Qx∴∀xPx∨∀xQx   To give: Example of values for the predicates P and Q over…

Q: Let X be an infinite set equipped with the indiscrete topology T, then (X,T) is compact. * True…

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: 1. Compute P(0), and find the exact values of the six circular functions given that 0= - 135⁰.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: In each of Problems 1 through 8, find the general solution of the given system of equations: I'₁…

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Q: two possible routes,

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Q: Pron a. If u = f(x, y), where r = e' cost, and y = e' sint, show that (3)³ + (3) ² - - ² [(-)* +…

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Q: 1 1 Prove by induction for every positive integer n, + 1*2 2*3 1 3*4 1 n(n+1) ·+...+· n n+1

A: Using the induction we need to show that for every positive integer the given statement holds method…

Q: Solve the given differential equation by undetermined coefficients. y"-9y=(x²-4) sin(3x)

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Q: Consider the 1" order initial value problem: y-1sts 2. y(1) Using the Euler's method, the actual…

A: The given differential equation is                            y'=y2t+1 where y1=-1ln2  To find: the…

Q: Question 4 Let M be the following matrix of a directed graph 0 1 1 1 1 1 1 1 0 0 1 0 1 1 1 0 1. Draw…

A: Given that M=0111110011011110. 1 The diagram of the directed graph is given below

Q: Evaluate each logarithm using properties of logarithms and the following facts. log₂ (x) = 3.9 log₂…

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Q: Exercise 7. Let a function f: R² → R³, x = (x₁, x₂) ¹ → f(x) = (ln(x² + 3x2 + 1), e4x1x²+³x², sin3x₁…

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Q: In a certain city there is a river running through the middle of the city. There are three islands…

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