Obtain using Jacob's method, all the eigen values and eigen vectors of the following matrices: (a) 1 1 0.5 A = 0.25 0.5 2 1 0.25

Q: Let X = {V₁, V₂, V3 ...,Vn} be a subset of a vector space V over F. Let A(X) denote the set of…

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Q: Given the f(x)=log(x3)+x, find the area under the curve from x=3 to x=5 using:  Riemann Sum. Use…

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Q: Problem n°8 Find yas fn of x | x³y" - 7 xy' H6y +6y= y()= 8182-1038, ^3/5 = 180/+ " wal x9 =x³. x³;…

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Q: Q: In usual topological space (R.Tu). answer the following: 1- Is [0,1] is compact set in R? Why?…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…

Q: The shape of Oklahoma can almost be divided into 2 perfect rectangles and 1 triangle. About how many…

A: To find the area of the Okiahome cover.

Q: Draw a circle with center ( 3, 1 ) and radius of 2. 5 4 3 2 1 -5 -4 3 4 5 -4 -3 -2 -1 Clear All…

A: We have to draw the circle with center(3, 1) and radius  of 2.

Q: A 5 meter high conical tank has a radius of 2 meters, and is filled with a liquid (800 kgf/cu.m).…

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Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

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Q: Example 8.23. Evaluate using Gauss formula for n = 2 dx 1-1 1+x² and n = 3.

A: The problem is solved using Gauss formulas for n=2 and n=3.

Q: figure out absolute min & max values: g(x)=cos^2(x)-3sin(x) Interval:0<=x<=pi

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Q: Determine the Fourier Series of the function f(x)= |x|, -3 ≤ x ≤ 3, f(x) = f(x+6).

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Q: Given the f(x)=cos(x5)+ln(x), find f’(9) at h=0.8 using: (Round off the final answer to 3 decimal…

A: Given that fx=cosx5+lnx Find f'9 when step size is 0.8 using (1) Forward difference method.

Q: Marloa and Jay recently time studied a janitorial task. From a sample of 75 observations, they…

A: Solution: The formula for number of samples required:- N= z×σ( h× x2 In the above formula h=desired…

Q: Compute the upward flux of the vector field Ĥ(x, y, z) = (x, 0, 2z) across the portion of the…

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Q: (B) Give an example for a commutative ring with identity.

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Q: Six second-order equations and four y(t)-graphs are given below. For each y(t)-graph, determine the…

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Q: Recall from Student Exercise 1.4.8 that cos 8 ² ( ²53 ) = 1/²/ ( √ √² + √²) (√₂ 70 Written…

A: It is required to prove the given equation by mathematical induction.

Q: (a) True or false? If you state true, then prove it, otherwise provide a counterexample. Given A, B,…

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Q: If Ø: R→ S is a ring isomorphism. The Ø p

A: Given, if ∅:R→S is a ring isomorphism.

Q: 8 If S has a maximum and a minimum then S is compact.

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Q: (B) Prove that: 1. Every Boolean ring is commutative. 2. Every field is integral domain.

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Q: 8. We know that P₁= P2 on B3 if P₁ = P2 on C, provided that C generates B and is a 7-system. Show…

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Q: Q/ For the following signal, replote the signal with the following conditions. X(t)= { 5²-3 t) 1 2…

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Q: 4. Evaluate the following determinants and justify your answers. 1 a 1 a a² (b) (c) a² a 1 a a³ a² a…

A: Note: As per our policy, we are allowed to answer only first two parts of question kindly post…

Q: (B) Find the zero-divisors of Z6.

A: Here we have to find zero divisors of Z6 .

Q: Example 8.28. Apply Simpson's rule to evaluate the integral p26_p4# dxdy 1=5₂8 5²4 I xy

A: To evaluate the integral I=∫22.6∫44.4dxdyxy using Simpson's rule.

Q: Match the matrix A on the left with the correct expression on the right A. Det A= -33 356 B. A = 120…

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Q: A scientist uses the one-point Gauss quadrature rule based on getting exact results of integration…

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Q: Problem no7 Findy as fired 2x²y" - 5ay - 7y=0; y(i)= 3 . у= і ўсі)=

A: To solve the below differential equation. x2y''−5xy'−7y=0, y1=3, y'1=9

Q: Question 3. F Prove each of the following. (a) Given a real number a > 1 with a N, show that there…

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Q: (2x - y)dx + (4x + y - 6)dy = 0

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Q: (a) If the sequence ()neN CX is convergent, show that it is bounded. (b) If the sequence (n)neN CX…

A: Thank you for the question. Since you have posted multiple questions we will solve the first…

Q: Find the Fourier series of the odd-periodic extension of the function f(x) = 2x for x € (0,2).

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Q: Six second-order equations and four y(t)-graphs are given below. For each y(t)-graph, determine the…

A: As per guidelines we can do only 3-subparts.

Q: Suppose C is a class of subsets of $2 and suppose BC 2 satisfies B € σ (C). Show that there exists a…

A: Solution: Let 'G' be the union of all σ-algebras generated by countable subsets of CB.

Q: The table below represents the number of loans approved for different amounts during the second half…

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Q: 2 COS X Let f(x) 1 and g(x) = = 1-sinsin x find the inverse function of f(x) * g(x) sinx+tanx 1+secx

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Q: 1. a. Solve the system y₁ = y₁ +4₂ y₂ = 2y₁ + 3y₂ b. Find the solution that satisfies the initial…

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Q: figure out absolute min & max values: g(x)=cos^2(x)-3sin(x) Interval: 0<=x<=pi

A: The given function is: gx=cos2x-3sin x, where 0≤x≤π The relative extremum exists at critical points…

Q: A solid E in R³ lies between the cylinders of radii 1 and 2 centered on the z-axis. Further, it is…

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Q: dx Example 8.10. Evaluate So by using (i) Trapezoidal rule, 2 1 + x² (ii) Simpson's 1/3 rule, (iii)…

A: Here we need to integrate using given options.

Q: 9) If f(z)=u-iv is analytic in the z-plane, then the C-R equations satisfied by it's real and…

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Q: Find the laplace transform of the function:  f(t)=e^(-4t) cos 5t the answer should be F(s)=…

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Q: Solve the following simultaneous DE using Laplace transforms. 1. dx dy 2 + dt dt 5et dy dt 3 da - 5…

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Q: Example 9.13. Solve Yx+1-yx + xyx+1 Yx = 0 given y₁ = 2.

A: Let us solve the given problem in the next step.

Q: M rs u and v are given by: u=5i-4j+pk v=2i+tj-3k (a) Express p in terms of when u and v are…

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Q: 1) For ellipse, consider the following graphs 0 O Please use your own words to summarize the…

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Q: Example of a function that is dot convergent but not uniformly convergent

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Q: 2 cos x Let f(x) 1 and g(x)= = = - 1-sinsin x find the inverse function of f(x) * g(x) sinx+tanx…

A: Given that,fx=cos2x1-sinx-1gx=sinx+tanx1+secxThe inverse function of fx*g(x) is determined as shown…

Q: Prove using mathematical induction that for all n ≥ 1, n(3n-1) 1+4+7++ (3n - 2) = 2

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