The gcd (₁5,₁8) is: U15, U18 a) 2 b) 3 c) 5 d) 1

Q: -8° 0 e a dx

A: We have to determine the type and nature of given integral :  ∫0∞e-xxdx.

Q: Solve the system of linear equation: ix1 - ix2 = -2 2x1 + x₂ = i

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Q: day dx2 -2 dy x +y = dx +y = 2 cos x

A: We have to find the solution to the given differential equation d2ydx2-2dydx+y=2 cosx, y0=0 and y7=7

Q: A)) Find the volume of solid below? + X ç-² A(y)

A: here we can use the integration along circle it will reduce all the calculations.

Q: 8. Prove 1² +2²+3² + + n² = n(n+1)(2n+1) 6 is TRUE using mathematical induction

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Q: B: Solve the following equations by Jacobi Iteration Method. 8 X₁ + X₂ X3 = 8 - X₁ - 7 X₂ + 2X3 = -4…

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Q: 3. a) Compute : ♫ (Re z − 3z) dz where ♪ is a directed line segment from z = 0 to z = i.

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

Q: Consider the following autonomous first-order differential equation. = y In(y + 2) Find the critical…

A: For an autonomous system of the form: dydx=f(y), it can be written that: The region above or below…

Q: Use the geometric series to find a series for the function f(x) = 8 2-3x Σ4(x)" n 3 ° 24(-x)" n 8 Σ…

A: We have to find the series representation for the given function f(x) = 82-3x by using geometric…

Q: Use synthetic division to divide. (Simplify your answer completely.) x5-13x4 120x + 81 x + 3 X = -3…

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Q: In building a scale model of a building for a movie explosion, a prop designer has to consider the…

A: Consider the information given in the problem, The original building has a height of 39 feet and…

Q: Students in a High School were surveyed to determine what sport they liked to watch on television.…

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Q: Find the general solution of the given differential equation. y' + 6x5y = x5 y(x) = Give the largest…

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Q: 2 4 A = 12 2 4 Solve the following. a) Describe the solution set of in the parametric vector form.…

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Q: Q4: A group of 30 manufactured of concrete pipes contain 8 defective pipes and 22 non-defective…

A: We have to determine the probability that sample of size five that contain exactly three defective…

Q: e linear approximation of the function of the function O, then use it to approximte f(5.9, 2.06).

A: Introduction: The formula of linear approximation of two variables function f(x,y) is given by,…

Q: Q2/ A: Use Lagrange Interpolation Polynomials' to determine the relationship between the velocity of…

A: Sol. Let time(s)=x  And velocity (m/s)=y=f(x).  And to find y(100)

Q: L-1 { s-1 (s² +9) Find laplace inverse.

A: To Find: Laplace Inverse i.e., ℒ-1s-1s2+9

Q: Assume the X NY are both differentiable functions of tea find the required value X squared plus Y…

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Q: Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the…

A: Given that outside temperature over a day can be modeled as a sinusoidal function. Suppose you know…

Q: Prove that.

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Q: 5. Find all integers 100 ≤ n ≤ 999 such that the last three digits of n² is same as n.

A: To find: All integers  100≤n≤999 such that the last three digits of n2 is same as n.

Q: taxi has 2 passengers when it starts at A. It must drop off one person at B and the third at C. The…

A: GIVEN THAT A taxi has 2 passengers when it starts at A. It must drop off one person at B and the…

Q: (8) Find the infimum, minimum, maximum and supremum of each of the following sets (write d.n.e. if…

A: (8) To Find: Infimum, minimum, supremum, and maximum of the given sets S: 1. S=1-1n| n∈ℕ 2. S=x∈ℝ |…

Q: In this problem you will solve the nonhomogeneous system A. Write a fundamental matrix for the…

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Q: A 20-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

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Q: O There are Two incorrect formulas for the following function x² + 2x-3 = 0, 0≤x≤2 True False

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Q: 7. Evaluate the z transform of x(n) = a^(-n) u(n)

A: The Z-transformation is a discrete time transformation from real plane to complex plane. In the…

Q: Joan's finishing time for the Bolder Boulder 10K race was 1.80 standard deviations faster than the…

A: Solution

Q: 13. Given a recurrence relation an = -an-1 + 6an-2, with a₁ = 3 and a₁ = 12. Find an explicit…

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Q: Max (Z) = 3 X + 5Y Constraints: 2X +3Y≤ 30 5X +4Y≤60 By Condition X, Y20

A: Given LPP is max z=3x+5ysubject to2x+3y≤305x+4y≤60x,y≥0   So, graph of  function

Q: B: Find: 1- √Ze-²³ dz 2- r(-2.5)

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Q: Consider the statement: For any positive integer n, n^3+2n is a multiple of 33. Set up the framework…

A: We will follow step for mathematical inductions Note : Maximum 3 sub part are allowed to be solved…

Q: If ūv #0, then (select all that apply) O and are not perpendicular the angle between u and v is…

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Q: Determine if the series converges or diverges: Σ π² n=13n Converges by the Geometric Series Test…

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Q: Part 1 Identify if the following are propositions. Then, write their representation. 1. I will sing…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: Suppose that f is a function given as f(x) = 2x² + 7x - 2. Simplify the expression f(x + h). f(x +…

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Q: D Solve the given initial-value problem. The DE is a Bernoulli equation. y¹/2 dy +y³/2 = 1, y(0)…

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Q: Calculate the distance from your house to the college in km. Determine the type of number whether…

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Q: 1. Determine whether the differential equation d²y dy dx² dx has the solution y xe22 = 28 2x e²x +…

A: Introduction:   A differential equation is an equation that contains the derivative of an unknown…

Q: . Compute the two-dimensional divergence of the vector field. . Evaluate both integrals in Green's…

A: Given,                F=x, yR= x, y: x2+y2≤9

Q: The adjacency matrix of the graph is __________

A: In adjacency matrix, the elements are the number of edges between the vertices.

Q: Find the Fourier series of f(x) estion 1 1) If f(x) = x,-2<x<2

A: We have to find the Fourier series of the given function f(x).

Q: 6. Evaluate the inverse z-transform of x(z)= 2z-1 (1-2z-1)2

A: Given: xz=2z-11-2z-12 To find: Inverse z-transform of given function.

Q: Consider the differential equation (D₁) : 2ä(t) — 8e¯x(t) + 5 = 0, x(0) = ln(4) and the relation…

A: If a function satisfies the differential equation and the given condition then the function is…

Q: A symmetric matrix A is positive def

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Q: 5. Solve the system of linear equation: * x1 + x₂ x2 = 2 x1 - x2 = 2i

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Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

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Q: ODD MOLE Find the determinant: 15 4 Find the determinant of 3 -6 14 2 7 5 -31

A: