Find the vector x determined by the given coordinate vector [x]R and the given basis B. - 1 - 4 B= [X] = 2 %3D 4 - 7 ... X = (Simplify your answer.)

Q: III. Construct truth tables for the following stateme(nts. 1. -p A 2. ¬9 →p

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Q: EXCERSICE D Show that the minimal sufficient statistic for the uniform(8,0+1). is not complete.

A: Given: Show that the minimal sufficient statistic for the uniform (θ,θ+1) is not complete

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A: The defining characteristic of a linear transformation T: V \to WT:V→W is that, for any vectors…

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Q: Find the Fourier series of the given function. Show details of your work. So f(x) -T <x< 0 0 <x< T

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Q: 8. In the prism, assume all dimensions have different lengths. a. State 3 equal vectors to DC. b.…

A: The 3 equal vectors to DC→ are HG→, EF→ and AB→ Since they have same magnitude and the same…

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A: We will find possible radius of converges and then interval of converges ,

Q: - 4x, + 2.x, – 2.x, = 0 X - 3x, - x, = 7 3x, - x2 + 4.x, = 5 %3D

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Q: Suppose p and q are distinct prime numbers. Find the number of positive integers r < pq such that…

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Q: ion Method upto 8 iteration? 354 3737 3754 3798 nriou

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Q: 3. Evaluate (2ry - )+(r +2:)7+(2y- 2r2)k) - dr, where C is a simple curve from (-3,-2,-1) to (1, 2,…

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Q: Question 9 X is a random variable with mean and variance H and of, The standardized form of X is 2 =…

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Q: 2.f (t) = cosh wt sin wt

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Q: By fixed-Point Iteration, evaluate f(x) =x -x-estarting at x1 = 0. %3D

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

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Q: -1 with a =-1, b =7, c =12, and d = -11. Find the trace 3 a Let A and B [7 d (the sum of the…

A: The solution is given as

Q: 2 Let A be a fixed nonempty subset of set X and I= {Bc X | A Z B}. Show that (X,I) %3D is a matroid.

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Q: Question 7. Prove or disprove: (a) The union of two subgroups of a group (G, *) is a subgroup of G.…

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Q: + 6х, — 5х, — 2x4 + 5x3 5x, + 10х, + 6x2 + 8x4 +

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Q: find the cube root of i when k =2

A: If the polar form of complex number is z=rcosθ+isinθ then using De Moivre's Theorem, the  nth roots…

Q: An article in the Journal of Sound and Vibration (Vol. 151, 1991, pp. 383-394) described a study…

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Q: For the subspace below, (a) find a basis for the subspace, and (b) state the dimension. {(a, b, c,…

A: Basis: For a vector space V, if we have a set B such that it is linearly independent and every…

Q: a) Given the following Linear Programming (LP) problem: Minimize z = 2x, + 3xz Subject to x, + 3x, 2…

A: It is a Linear Programming problem and I solved it using Two-Phase method in the next steps.

Q: Using Euler's Method, approximate the initial value problem for various values of x given in the…

A: Given data A differential equation dydx=9x2-4x+5,  y(-1)=0…

Q: Question 1 1 -2 1 2 -1 2 -1 0 -1 -2 1 Let A = and assume that 1 1 10 0 0 1 1-1 0 0 0 0 0 0 1 00 1 -1…

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Q: Evaluate the limit. lim -5 V-I-2

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Q: evaluate cot (0.64+0.49i)

A: This is a problem of complex analysis.

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Q: Verify the Divergence Theorem by evaluating F.N dS as a surface integral and as a triple integral.…

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Q: Solve the following and show complete solution. 1. Show that the following graph is planar.

A: # As per the guidelines we are entitled to solve one question at a time ,please resubmit the other…

Q: Question 8. Define a relation - on the set of rational numbers Q by a ~ b iff Ja| = |b| (a) Prove…

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Q: 210 -1 0 1 1 31 Let A = 2.1 Find the eigenvalues of A. 2.2Find bases for the eigenspaces of A.

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Q: A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector…

A: According to the Gauss Divergence Theorem, the surface integral of a vector field A over a closed…

Q: Solve the following basic calculus problems: d а. cOS X dx b. [ydy 1 d? c. Show: dx dy d x++2y-x²)=…

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Q: 5. Using exponential shift, (D² + 4)| e²"y| is equivalent to A) e²"(D² – 4D+ 8)y B) e"(D² +4)y C)…

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Q: Consider the permutation (1 2 3 4 5 6 \3 4 5 6 1 2 7)* 1. Express as a product of disjoint cycles.…

A: Given Permutation: 12345673456127

Q: What is the iterative method in system of linear equations

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

Q: Show that the first graph below can be contracted to the second graph.

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Q: Use the Newton-Raphson formula once to find an improved estimate of a solution to the equation 2x -…

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Q: Q6. Use Taylor's Theorem to prove that if x > 0 then, 5 1+

A: Given,x&gt;0 To prove: 1+x12-1+x3+x29≤58!x3

Q: Using Excel, get the roots of the follo equations through Bisection Method 1 f(r) = r2 –r - 2

A: The given equation is f(x)=x2-x-2 find f(0) f(0)=02-0-2=-2 find f(1) f(1)=12-1-2=1-1-2=-2 find f(2)…

Q: 2.f(t) = cosh wt sin wt

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Q: Which of these graphs have the property that the removal of any vertex and all edges incident with…

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Q: 'ind the inverse Laplace transform of 1 H(s) : 1 2 + 4 1 -4s %3D

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Q: For the graph shown below, compute for the total weight of a Hamiltonian cycle using the…

A: Here we use edge picking algo.

Q: B. by using Rules of Replacement 1. [p V (~p ^q)] → (p A q) 2. {~ (pvq) v [(~p^ q) v ~q]} «→ ~ (pvq)

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Q: 2. Let R be the relation on the set {1,2,3,4} containing the ordered pairs (1,2), (1,4), (2,1),…

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Q: dx dy + y = x , dt = 3y dt dx dy 1.

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