1. Let f(x) = 5, if x>1 f(x) = 2, if x < 1 f(x) = undefined for x = 1 Find the following one sided limit: lim f(x) 06 0 2 Olimit does not exist

Q: Secant method converges faster than Regula Falsi method. A. True B. False ??

A: Solution

Q: 1. Find the Inverse Laplace Transforms of the following. 3s 2) s²-4 2

A: L{cosat}=s/(s^2+a^2) L{coshat}=s/(s^2-a^2)

Q: Consider the partial differential equation uxx + y + x + uu, +u = 0. Determine the order of this…

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Q: FLOS Provide a recursive definition for the function f(n) = a", where a > 0 is a real constant.…

A: A recursion process is one in which one or more initial stages of the process are specified, and the…

Q: s(s² +95+19) B) Determine the response of the following closed loop transfer function for unit step…

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Q: The statement form (ac) ⇒ (bc) is equivalent to O [(~avc) ^ (av~c)] ^ [(~b v c) ^ (b v~c)] ~[(~a v…

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

Q: A sign hangs from two wires. The left-hand wire makes an angle of 60° with the horizontal, and the…

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Q: Maximize subject to: Z = $140×₁ + $150x₂ 8x1 + 2x₂ 40 9x2 + 3x₂ ≤ 120 X1, X₂ ≥0

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Q: In a vector space V, prove that Ov=0 for all ve V.

A: This quedtion from topic vector space of linear algebra.

Q: Given the plot of normal distributions A and B below, which of the following statements is true?…

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Q: 7.L Given the points (-1, 2) and (-3, 12). a) Find the slope of the line containing the points…

A: If two points A(x1, y1) and B(x2, y2)  are given,Then the slope of the line passing through A and B…

Q: 4. Find the Fourier Transform 1 a. 9+1² eJ200 xt 9+1 b.

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Q: hart. Match th

A: Given: y=25sinx-πy=-13csc2xy=5cotπ--8y=-6cootx-10y=5sec(2x+2π)y=-3tanx2

Q: 5 -2s2-3s+4- L-¹1-

A: We will use Laplace transformation table to find inverse Laplace transformation of given function

Q: 1.4.5 Only a Obtain the eigenvalues and corresponding eigenvectors of the matrices 2 2 1 0-2 (a) 1…

A: The given problem is to find the eigenvalues and eigenvectors of the given following matrix.

Q: one rea eration

A: To find  lnx4=0.70

Q: lege Algebra by Exc

A: The given first 12 digit of the ISBN code: 978971016725.

Q: Draw a direction field for the given differential equation. Based on the direction field, determine…

A: This is a question from Autonomous Differential Equation.

Q: 13. Evaluate [-72, 48] 24 O-24 - 144 144 14. If a = 5 and b = 7, what are the possible values of m…

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Q: Find the Inverse Laplace Transforms of the following. 4 1) 1 S-3

A: We have to find the inverse Laplace Transformation of 4s-3 so first write it in the form L-14s-3…

Q: Find the radius of convergence for the given power series: Σ(43) ta tanhn n=o

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Q: II. Find the inverse of each matrix. -9 6 2.

A: The given matrix is -964-8 find the determinant of the matrix  -964-8=72-24=48 the determinant of…

Q: Given Statement (MC) (~D~K) Which of the following can be derived from the given statement using…

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Q: (a) Solve the first order linear ordinary differential equation dy x sin x +(sin x + x cos x) y =…

A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…

Q: 9) **Suppose that the Celsius temperature at the point (x, y, z) on the sphere x² + y² + z² = 1 is…

A: The given problem is to find the highest and lowest temperatures for the given temparature equation…

Q: 14. Calculate the variance of the following probability distribution function (pdf) for the discrete…

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Q: A) B) T Solve the initial value problem Solve the differential equation y + 10y +34y = 0 e²x dy…

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Q: Determine the relative error when approximating e^-1 using fifth-degree Taylor polynomial with…

A: Firstly , we will write the 5th and 6th degree polynomial separately.  for x= -1, we can calculate…

Q: please answer the same way above the former one. j) When is the particle speeding up? k) When is…

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Q: Exercise 0.2.11: Solve: dA a) = -10A, A(0) = 5 dt d²y c) = 4y, y(0) = 0, dx² y'(0) = 1 b) d) dH dx…

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Q: D = 3 1 5 0 -4 5 -2 -4 3

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Q: If a subadditive functional p on a normed space X is continuous at 0 and p(0) = 0, show that p is…

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Q: c{ts Find the Laplace Transform L e-t sin t t dt}

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Q: (a) If the eigenvalues of the n x n matrix A are λ > λ > 13 ...λ = 0 show that the eigenvalue λ,,…

A: Here, we need to prove that Eigenvalue can be found.

Q: of the following vector fields, the one that is conservative corresponds to: 3xy¹+x A) F(x, y, z) =…

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Q: 2. I. -4 Evaluate each determinant. 3 -3

A: We have to calculate the determinant -431-3 as the determinant of a 2×2 matrix is given by  ad-bc…

Q: , B, and C which satis

A: Given as, A= {1, |B|, |C|} B= {2,| A|, |C|} C= {1, 2, |A|, |B|}

Q: Tet X and Y be infinite sets prove that XUY is infinite

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Q: 15 20 22.5 362.78 517.35 602.97

A: The first order Lagrange polynomial is given as, fx=x-x1xo-x1fxo+x-xox1-xofx1

Q: 2. It is possible for two angles of a triangle in the hyperbolic plane to each have a measure of 2.

A: In hyperbolic geometry , a hyperbolic triangle is a triangle  in the hyperbolic plane. It consists…

Q: 02 2 1 0 -1 23 -2 1 3 -3 1 2 is row equivalent to the matrix D = 1 0 -1 -3 01 1 2 00 1 00 The matrix…

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Q: Let V be a vector space and let u,v be elements in V. if W = { au + Bv | a,B are elements of real…

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Q: Determine the values of r for which the differential equation y" - y = 0 has solutions of the form y…

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Q: Let d be a metric on X. Determine all constants k such that the following is a metric on X (a) kd…

A: Let d metric on X. Here , d satisfies following properties ,  dx , y ≥ 0  ,  ∀x , y ∈ X dx , y = dy…

Q: Given the ODE problem as y + 2y + y = 0 What are the basis for this ODE? O е e-x, e*, xe−x, xex O…

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Q: 36. Find the sum of the following infinite geometric series. A. Does not exist B. 3 C. Σ(3) k=1 1/3…

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Q: Find a differential equation that corresponds to the given direction field. Consider differential…

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Q: 16. Given: 6x + 15y = 51. What are the possible solutions of x in the given Diophantine equation if…

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Q: could you do part b

A: Given: The following pattern,   To explain: Why it is impossible to clear the given pattern in…

Q: For the following differential equations, - Classify whether the equation is ordinary or partial…

A: The differential equation involving one dependent variable and more than one independent variable is…