5. Using Pivotal Element Method, find the value of x. 1 +i 1+2i| 1-i 2 2 – 3i = -32 + 13i | |1 – 2i X

Q: H Salve b Pinide diffrence methat Itx2 てメ+\ yot=t25,y4)=095

A: We can solve this using finite difference method

Q: . Determine the upper bound on the error in the approximation: x2sinx3 x. - if x|<0.8 6.

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Q: Problem 6. Let X be a normed space. (a) Find all subspaces of X which are contained in some ball…

A: We will use the basic knowledge of functional analysis to answer both the parts of this question…

Q: Evaluate the determinant: 2 14 1 1 -1 3 -2 2 -3 3 -4 -3 -4 326 O 452 389 489 1,

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Q: Use substitution of power series to approximate cosh (2x) dx

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Q: Find the general solution to the DE using the method of Variation of Parameters: у" — Зу" + Зу' — у…

A: The solution is given as

Q: 11. Let R and R' be two rings. A mapping f: R→R' is called an antihomomorphism, if f (x +y) =f (x)…

A: Let x, y ∈ R. Then (g)(x + y) = f(g(x + y)) = f(g(x) + g(y)) = f(g(x)) + f(g(y)) =(fg)(x)+(fg)(y),…

Q: (a) Which of the following matrices are orthogonal matrices? Explain your answer. 1 0 0 1 1 1 2 3 0…

A:

Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

A: The given vector is r→t=5t sint + 5costi^+5t cost + 5sintj^. To find: (a) unit tangent curve of the…

Q: (b) Perform the Gram-Schmidt orthogonalization process for u = x +1, u2 = x² + 3, u3 = Va using the…

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Q: Compute central difference approximations for the first derivative of the function, y = log(x? +…

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Q: Let G, and G, be two groups. Let H and H, be normal subgroups of G G, respectively then @ H, x H, 4G…

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Q: 3.0 SOLVE BY Jacobis Method 2x + 9y = -1 4x + y = 15

A: 2x+9y = -1 4x+y = 15

Q: D 22.5 56,4 E 155.4 U OSO1 E.

A:

Q: Estimate the true percent relative error for the first derivative of the function, y = cos(sin(x)+…

A: We have to find 1st derivative using central difference method and then calculate true percent…

Q: I. Change the following number systems to base- 10 numbers. (Show your solution 3 X 5 points) 1.…

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Q: Solve for the laplace transform of e^(at) cos bt using using the integral formula for laplace…

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Q: Construct the dual problem associated with the primal problem. Solve the primal problem.

A: Given,      Minimise C=2x+8ysubject to                 x+2y≥4              3x+2y≥6 and      x, y ≥0

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A: To Find: The volume of the solid when the region, bounded by the curves x2+y2=2 and y3=x2 is…

Q: 5. A sequence of elementary row operations was applied to a matrix A to put it in an upper…

A:

Q: tion according to LHL

A: Introduction:   The sentence limx→af(x)=L denotes that f(x) can be as close to L as desired by…

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A: The lateral surface area, S, of a cone is calculated using the formula: S=πrr2+h2, where r, h are…

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A:

Q: Compute f(10.25) for a given set of data below using: 1. Lagrange Interpolating Polynomial 2.…

A: Solution : y=f(x) 1. Lagrange's Interpolation formula is,…

Q: 3. The point P=(-2, -3, 4) in R a. Draw the rectangular prism using the given point on the grid…

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Q: Let G, (Isisn) be n groups and G is the external direct product of these groups. Let e, be the…

A:

Q: Suppose n is an integer. Prove by direct method: If n is an odd integer then 8|(n² -1).

A: suppose n is an integer.  prove by direct method - if n is an odd integer then 8n2-1

Q: 1 2 Q4) Find the maximum eigen value for the system A = 5 4 with initial vector x' (0) = (1 1)

A:

Q: b. e d

A:

Q: E-1 (x – 2)" 6. Find the Taylor Series for cos(x) centered at 1/2. 7. Find the Maclaurin series for…

A: Given: The binomial series x+13. To find : First 4 terms in the expansion of given binomial series.

Q: Q4) Solve the boundary value problem y - 3y' + 2y = 0 with y'(1) = 1, y(3) = 2e - e² h = 0.5 %3D

A: Solution :-

Q: 4 5 0 If A = 6 7 3 and B = 0 10, 1 0 0 1 2 5 00 1 What is A timnes Bequal to? 4 0 0 07 0 005 A. B. 0…

A: Here, we see, B is the identity matrix of order 3. i.e, B = I3x3 So, AB = AI3x3 = A

Q: Sketch the graph and show all extrema, inflection points, and asymptotes where applicable. 1) f(x) =…

A: Given: fx=x13x2-252 To find: Extreme points

Q: 3. When origin is shifted to (3,4) by translation of axes, find the transformed equation of 2x² +…

A: We have to solve given problems:

Q: What is the volume of solid generated by revolving the area enclosed by: x=y^2 , x=0 ,  y=0 , and…

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Q: Hiws slove du dt 4 dx2 K= 8. h=1 u(o,t) =0 u (8,+)=c U(x, a) =0 = 4 X- (5)X |

A:

Q: Apply the properties of functions to correctly determine and interpret the break-even point in the…

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Q: 3 Let I be an ideal of the ring R and define the set ann (1) = {rER raso, VaE I} Prove that ann (I)…

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Q: Instructions: • Solve the following SLES in a clean sheet of paper (preferably bond paper). - Show a…

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Q: Solve the DE: dy + 2xy = 2x³y3. dx

A: The given problem is to solve the given differential equation. The given differential equation is of…

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Q: Q3) Solve the following boundary value problem using finite difference method dy +2y = 0 dx y(3)=…

A:

Q: part b

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Q: Find an integrating factor that turns the following equation into exact and solve the IVP: (2xy3 +…

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Q: If the WORK required to stretch a spring 1 ft beyond its natural length is in ft-lb is needed to…

A: Introduction: The formula of work done from point a to b is given by, W=∫abkxdx Where is constant.

Q: 2. Radar stations are positioned 12.5 miles away from one another on an east-west line. A signal…

A: We will use sin rule  For a ∆ABC  If a,b,c represents opposite sides of angle A,B,C then…

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A: Given graph: a=1, b=1, c=6, d=5, e=2, f=5; and ab=1x1=1, bc=1x6=6, cd=6x5=30, de=5x2=10, ef=2x5=10,…

Q: Rock band The Rolling Stones have played scores of concerts in the las a) Assuming a population…

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Q: For the normal distribution shown below, what area is contained between -2 and 1? -3 -2 -1 3 T2

A: Normal distribution is the most common continuous probability distribution. In a normal distribution…

Q: Evaluate the inverse laplace transform: F(s)=4s-2/s^2-6s+18

A: