* Evaluate. [[6x [6x² arcsin (x)]dx

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A: Given that: Fs=s2s2+a2s2+b2 where a2≠b2 and ab≠0To find: inverse laplace of Fs.

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A:

Q: 2. The subset [a,b) of R is neither open nor closed. Prove it and construc an illustration.

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Q: Determine the eigenvalues and eigenvectors of the following matrix: 6 [39]

A: Use the given matrix.

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Q: e a square Fits diagona diagonal ele anal the val

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A: Given: Properties of the function, To find: Label all the intercept points, relative extremum…

Q: The generator polynomials for a binary convolutional code are given by 8₁(x)=X+X² 8₂(x) = 1 + X…

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Q: 1. Identify the equations of all the linear asymptotes of f.

A: Given information is ∙  dom f = ℝ \ -1             ∙  limx→+∞ fx=2 ∙  limx→-1+   fx=+∞      ∙…

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Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 3. lim (x-3) tan(9-x²)…

A: We want to calculate the limit limx→3(x-3)tan(9-x2)sin2(2x-6) To solve this we use the following…

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A: Solution

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Q: A continuous X Co F(x1= ++x o BX C1 K 1 ≤X Find value of k V-V- X has CDF 16 17 18 19 20 21

A: Given CDF is F(X) = 0,x<012x,0≤x<1k,1≤x

Q: Use Laplace transforms to solve the following initial value problem. x'' - 9x = 5t; x(0)=x'(0)=0…

A: Solution:-

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Q: -1 5 -2 Consider the matrix A= 2 a) Obtain the eigenvectors (v₁, V2, V3) of A. b) Write a matrix P…

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Q: Consider a system of linear equations A [:] b where -2 6-3 b = and A-1 Find the value of y in the…

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Q: 277 Submissions Used MY NOTES Find the amount accumulated FV in the given annuity account. (Assume…

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Q: Suppose f is continuous everywhere, f’ is differentiable everywhere except at x = -1, and the graph…

A: Here we use the property of symmetrical function.

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A: We can discard by a counter example

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Q: Choose the function that has the graph below. Hint: Look at where the vertical asymptote(s) and…

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Q: 1. Draw the circuit corresponding to the following expression. (Do not simplify your expression or…

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Q: II. Find Do not simplify your answers. dy dx tan-¹(cosh.r) 2. y= (sin²x) (sech x)sec z [use…

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Q: -1<x<0 swer only three for the following function f(x) = { x: 0<x< 1 Find the Fourier coefficient…

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Q: Q2): A polluted lake has an initial concentration of a bacteria of (1*10' part/m³), while the…

A: Given that,The differential equation that governs the concentration (C) of the pollutantas a…

Q: 8. Prove that the differential operator M: C² [a,b] → C[a,b] defined by d²u du Mu= 2+3u dx is a…

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Q: (-3,0) 3 -2 4- 3+ 2. -1 (0, -0.5) -1,-2) (-1,-3) -3- (1,0) 2 y = f'(x) 3 (2,-0.5) (3,-2) (4, -3) I

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Q: y = -1(x³) sec ³x cot √5coth x +6

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Q: 11.7 You want to purchase a car with a sticker price of $25,000. The car dealer offers you a $2,000…

A: Since you have posted a multiple question according to guildlines I will solve first question(11.7)…

Q: Find d(u, v), if u = (2, -4,2,-1,-6) and =(4,-6, 2,-1,-6).

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Q: (sinxy +xy cos xy) dx + x² cosx y d y = о

A: The solution is given as

Q: 11 woń, -1 4-2 -3 4 -3 1 Consider the matrix A 2 (a) The vectors = 1 and 7: are eigenvectors of A.…

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Q: (1 Let f be integrable on [a, b]. Suppose c ER and g: [a+c,b+c] → R such that g(r)=f(z−c), x€[a+cb+c…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: 6. If V(x, y) = xsin x cos y + y² then, F-VV and it is equal to A. -ily sinx cos y sinx cos y]…

A: We can solve using divergence formula

Q: 6x-25x+8x+43x--8x-12 (3x4-11x3 +9x²-11x+6) (9x² +12x+16) + C(3x+2)+D 9x²+12x+16] Find f - [Ax+B x²…

A: Given integral is      (1) Its reduction is ∫Ax+Bx2+1+C(3x+2)+D9x2+12x+16dx We can write it as…

Q: B 4 3 5 6 1 -2 1 1 4 3 f(x) 1 92. The function f is twice differentiable. Selected values of ƒ are…

A: We can solve this using Newton divided differences method

Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 3. lim x-3 (x-3) tan(9-x²)…

A: To Evaluate: limx→3(x-3)tan(9-x2)sin2(2x-6) without using L'Hopital's Rule

Q: The pressure on a particle at a point (x,y) is given by P(x, y) = x²ln(xy²) a. Find the rate of…

A: As per the question we are given a pressure distribution of a particle moving on xy-plane as :…

Q: Determine the area that is bounded by the following curve and the x-axis on the interval below.…

A: As per guidelines we experts are allowed to solve only one question at a time. so kindly reupload…

Q: Consider the following.

A: Given,           B=12-121212

Q: Approximate the following integrals using the following methods. a. [² [² (4 – x² − yª²)dydx a.…

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Q: Use Euler's method with step size 0.2 to estimate  y(3),  where  y(x)  is the solution of the…

A: Given that: y'=1−2xy,​  y2=0 To use the Euler's method with step size of 0.2 to estimate y(3).