Prove that any vector U,U-(U-ei)e,+(U-eeJez +(U.e;)e [Hint:corite u in COmpollent From)

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A: Solution is in given below

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Q: Find the root/s using Bisection method a. e-* – 3logx = 0 b. f(x) = e-*(x² – 5x + 2) %3D

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Q: Consider the three following matrices: 1. 1 0 A =0 -1 0, B= 0 0 and C = i 0 -i 0. 0. 1 0 0 1 0 i | C...

A: Given matrix are A=1000−10001, B=10000000−1 and C=0−i0i0−i0i0. We have to calculate TrABCT. First  f...

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Q: Evaluate : - 6 + 19C15

A: We have to evaluate given expression.

Q: Determine whether A is invertible. If so, find A-1. [ 2 3 10 -4 (i) A = (ii) A = 4 1 -5 2

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Q: Q/use Gaussian Elimination method to find the value of a, aa2 a3? ба, + (155)а, + (5525)а, + (225125...

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Q: -4 Let A Find the matrix exponential function eAt. 3 cos(3t) sin(3t) sin(3t) cos(3t). e At -4t = e c...

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Q: Problem 1.27. Find the in-degree and out-degree of each vertex of the following directed graphs a V3...

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A: This is an application of differential calculus.

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Q: Show complete solutions.  a. Find the unit vector in the same direction of V= . Graph the correspond...

A: Introduction: The component representation of a vector in two dimensions is v=vxi+vyj Here, vx and v...

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Q: Determine the convergence or divergence of the series using any appropriate test from this chapter. ...

A: we have given the series ∑n=1n5π6n we have to find the convergence or divergence of the series by us...

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Q: sub=26(Determine the promissory note to amortize (pay off) a $150,000 mortgage at 5.99% APR compound...

A: The formula to calculate the amortized amount is as follows:

Q: ind the equ.of Plane that Contains plos1,3) and Parallel to the X-2 Plane and PerPendicular to the p...

A: Solution:-

Q: 4. Given the equation: 2xy² y' = y + - et Find the integrating factor. Choose your answer from the c...

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Q: Find the unknown variable: C(6r, 6r -1) = 12 + C(4, 2)

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Q: Suppose we know that a root of the function f (x) exists in the region [12, 18]. Estimate the number...

A: The given problem is to find the number of iterations required to find the root of the given functio...

Q: D. Solve the following problems. 1. Write a system of inequalities for the given graph. -5+ (5.5, 5 ...

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Q: 5. Show that if f(2) is analytic for |2| < 1+ €, then for any z = reio with r < 1, eit z dt = 0 1– ž...

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Q: SOLVE THE FOLLOWING DIFFERENTIAL EQUATIONS WITH COMPLETE SOLUTION AND NO SHORTCUT. a. x (dx/dy) + (...

A: Introduction: When a differential equation can be expressed as dydx+Pxy=Qx The equation can be categ...

Q: (3) You are an accountant for a manufacturer of radios. The demand function for the tablets is p=40-...

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Q: 5. Let V be an inner product space over C. Show that for any v, w e V (v, (v, w)w) = | (v, w) |² and...

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Q: (a) Use the definition of continuity to show that the function Jx, if æ is rational 10, D(æ) = if x ...

A: Definition of continuity: A function f(a) is said to be continuous if 1. f(a) exists2. limx→af(a) ex...

Q: 6s+21) a Tost +5) 35+5

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Q: 2. y" + 4y' + 5y = 35e**, y(0) = -3, y'(0) = 1

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Q: arly independent functions. Please, stop posting the same copied solution fr

A: Given equation as, anxynx+an-1xyn-1x+.....+a1xy1x+a0xy0x=fx

Q: Problem 9.2.13. Prove Theorem 9.2.12 Theorem 9.2.12. Suppose f is continuous at a and g is continuou...

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Q: 1. Apply transformations Sketch the transformation of the rectangle with vertices -2 -2 3 3] -1 -1 u...

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Q: (a) Determine whether A is invertible. If so, find A-1. [ 2 3 10 -4 (i) A (ii) A = 4 1 -5 2

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Q: (p → (q ^ r)) ^ (1p → (1q ^ Tr))

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Q: Given the argument: All dogs are animals. Some animals are hairy. Therefore, all dogs are hairy. Wri...

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Q: Use the formula for the binomial series: (1 + x)" 1+ mx + m(m-1)2 + m(m–1)--(m–-k+1), + + ... k! m(m...

A: We need to find Maclaurin series for , 11 + x3. We have given that ,  1 + xm = 1 + mx + m(m-1)2!x2 +...

Q: (х? + бу?) dх — 4хуdy %3D0 when x = 1; v = 1 1 IF = 1/x IF А. В. IF = 1/. IF = '/,4 23 O C. D. Find ...

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Q: If 4 marbles are picked randomly from a basket containing 5 blue marbles and 8 yellow marbles, in ho...

A: This is the problem of combinatorial.

Q: Use Euler's method with the given step size to estimate y(1.4) where y(x) is the solution of the ini...

A: Solution   

Q: 2. Determine all values of a for which the resulting linear system has a. Infinitely many solutions;...

A: The matrix form of the system AX=b  with n unknowns a)The equation has infinitely solution  RankA=Ra...

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Q: Find the equation of the line L passing through P(1,1,1), intersecting the line y +t0 %3D and perpen...

A: Given a line xyz=11-1+t201---1. We are required to find a line L that is perpendicular to the given ...