5. Solve Equations 2x+y+z=5,3x+5y+2z=15,2x+y+4z=8 using Gauss Seidel method

Q: By using the sccant Methad findthe:voots ofeauation

A: We have f(x) = x-22-ln(x) x0 = 1 and x1 = 2 f(1) = 1-22-ln(1) = 1 f(2) = 2-22-ln(2) = -0.69315

Q: Example 1.2.1 Here are two simple examples of set e you to verify. (i) U[0, n/(n + 1)) = [0, 1). %3D…

A: We have to verify given result.

Q: How many values are in the range 17 to 118? 67.5   135   102   100

A: Range = maximum - minimum    Number of values = 118 - 17 = 101

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Q: Let X be a Banach space an {xn} be a sequence in. X. Prove that if {xn} converges in norm in X, then…

A: Given: Suppose X is a Banach space and xn→x in X. To prove: xn→x weakly

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A: We have to use spherical co ordinate system

Q: 6. An average earthquake measures 4.5 on the Richter scale. a. How much more intense is an…

A: The complete solution is in given below.

Q: ed on the

A: In this question, the concept of the Scale Factor is applied. Scale Factor A scale factor is a…

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Q: 3. Solve the initial value problem by the method of Laplace transforms: y" + 4y = 2, y(0) = 4, y'(0)…

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Q: 1. Given the following matrices: [1 1 0 1 1 6 1 [2 1 11 8 2 -2 2 3 -1 0] D = |0 1 0 13 2 1 1 3 |1 2…

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Q: 2. Solve the initial value problem by the method of Laplace transforms: y" – 3y/ – 4y = 12e²ª, y(0)…

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Q: Find the Fourier transform F(@) = | f(t)exp(iwt)dt of the function 0, t 0. You might want to use…

A: The given function is ft=0t<01βtt≥0, where β>0. We know that the Fourier transform of a…

Q: Express each one of the following in the standard form a + ib. 1 A: (1 + i)? (iii) 3 - i 3+4i 1+i…

A: standard form , a+ i b first part = a (real part second part = i b (imaginary part

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Q: Find the Inverse Laplace Transform. 2s F (s) = s2-2s+3 O [2 sin(v2t) + v2 cos (v2t)] e COS O [V2…

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Q: How can you relate the topic derivative in your life day to day as a student? Pleasee helpp me this…

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Q: Solve the linear programming problem. Minimize and maximize P= 25x + 15y 5x + 7y 2 64 10x + 3y s 106…

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Q: b. Put the following in the simplest form: (x -) (ay + b – x5) X with writing the boundary degree

A: We have to calculate the simplest form and find the boundary degree.

Q: Example 1.3.1 Check lim inf[0, n/(n+ 1)) = lim sup[0, n/(n + 1)) = [0, 1). %3D %3D n-00 We can now…

A: claim - to check limn→∞inf0,nn+1=limn→∞sup0,nn+1=0,1 solution let Xn=0,nn+1 this can be written as…

Q: Show that U(8) and U(10) are not isomorphic.

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Q: atic Approximations The Taylor polynomial o by a twice-differentiable function f(x) at x = tic…

A: In this question, the concept of Taylor Polynomial is applied. Taylor Polynomial An approximation of…

Q: Prove the Rodrigue's formula ?

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Q: TABLE 18.1 Data to be fit with spline functions. i X; fi 3.0 2.5 1.0 1 4.5 7.0 9.0 2.5 0.5

A: i xi yi=fi 0 3.0 2.5 1 4.5 1.0 2 7.0 2.5 3 9.0 0.5 To find: Cubic spline interpolation…

Q: Find the interval of convergence. (x + 6)" (n In(n))² n=2 (Use symbolic notation and fractions where…

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Q: KS. (a) Give a tangent line. (b) Give a secant line. C (c) Give a chord. K H

A: (a)  Tangent to a circle is the line that touches the circle at only one point. From figure we can…

Q: L(0) = [B] Now, find the derivative, L'(0). Type theta for 0. L'(0) = [C] Once you find the value of…

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Q: An engineering construction firm is currently working on power plants at three different sites. Let…

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Q: X=0 x bn Li+ax) Find Taylor Series Using power Serie Opecations

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Q: 4. Consider the following piecewise-defined function f(t) on [0, ∞0): 0, 0st<2 S(t) = { 2t – 4,…

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Q: Consider the curve defined by the parametric equations sin(2t), y = cos(t), 0 < t < r Find the…

A: Given- Consider the curve defined by the parametric equations x = sin2t, y = cost, 0 ≤ t ≤ π To…

Q: QUESTION 2 Each quotient group is cyclic; to which Z, is it isomorphic? a) Z16/ (5> b) Z18/(12)…

A: Here given that each quotient group is cyclic and we have to find to which zn it is isomorphic.

Q: The set of all even integers 2Z is a subgroup of (Z, +) Then the right coset -5 + 2Z contains the…

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Q: 1/5 Find the area of this trapezoid. Be sure to include the correct unit in your answer. 7 m 5 m m2…

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Q: Let fn(x) = E s;(x) Y; be a linear smoother. Find a condition on the weights s;(x) so that fn(x) is…

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Q: Consider randomly selecting a student at a large university, and let A be the event that the…

A: Given P(A) = 0.6 P(B) = 0.4 P(A ∩ B) = 0.5

Q: Using the composite division, find the rest of the border division ((4 x) 2 + a-x - 5 x  4-3 x 6+…

A: By composite division if we put x=a+2, then by the algorithm rule we can find the solution easily.…

Q: Consider the inner product space (P2, (,)) with the inner product (p(x), q(x)) = p(0)q(0) + p(1)q(1)…

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Q: How many four-letter code words are possible using the letters in XJTLU, if 1) the letters may be…

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Q: for your public transportation system. The community cannot spend more than $100, 000 for the…

A: Lets,   the numbers of small van= V         the numbers of small van= B Therefore,  the constraints…

Q: 5 4 Find a 2x2 matrix A for which A 6 5 3 -6 -2 LA=] A =/ (Type an integer or decimal for each…

A:

Q: Which of the following functions on R is sublinear? a). s1(x) = # x if x ≥ 0 0 if x 0

A: Definition: Let X be a vector space. A function p: X→ℝ is said to be a sublinear function, if it…

Q: The curve graphed below has the parametrization C = {(v 4 %3|

A: Introduction: A parametric equation is one in which the dependent variables are defined as…

Q: (a) A list a1, a2, a3, a4 of rational numbers is defined so that if one term is equal 41 then 29 to…

A: Note: We are entitled to solve only one question at a time. As the questions are not related and the…

Q: 2. Let R be the region in the ry-plane bounded by the curves ry 1, ry =4, and the lines y r, y = 9x.…

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Q: 32 – 23 1. (a) What is the value of 23 - 32 (b) What is the value of VST+ V9 - V64 ? (c) Determine…

A: Solve the algebraic equations

Q: MacQuarie Island is a small island about half-way between Antarctica and New Zealand. Between 2000…

A: We have given dRdt = kR The general solution for the given differential equation is R(t) = R0ekt

Q: Use the bisection method to find p3 for f(x) = x – 16 * on [0, 1] . 3 4 4

A: To use the bisection method to find p3.

Q: G8. Construct the graph where the vertices are you, your parents, and your grandparents with a…

A: Given : Vertices- you, parents and grand parents Relationship- born in same state.