Using Doolittles method for the following matrix A = L - matrix and U - matrix. [-1 2 0 8 -2 0 6 . find

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A: Given,         dydx=-2y, y(0)=4.

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Q: Define/Explain what a Fact and a Truth is in terms of mathematics.

A: Lets briefly define what is the difference between fact and truth.

Q: 25. Determining Whether Events Are Disjoint a. If P(A) = 3/11, P(B) = 4/11 and P(A or B) = 7/11,…

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Q: Practice a) Find the possible flows in the network. b) If BC is closed, what range of flow on AD…

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Q: Prove that n!+1 and (n+1)!+1 integer n. relatively prime for every positive

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Q: 2. f(18)-22, f(19) 35, f(20)=60 Prepare an overdetermined system and then solve using Least Square…

A: Hint: a general form of the  overdetermined linear system is…

Q: Consider functions f : [5] → [9] (a) How many of the functions are injective

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Q: Exercise 6. If ||·|| is a norm on the vector space E, show that the formula d(x, y) = ||y — x||…

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Q: Let n be a positive odd integer number (i.e., n = 2k + 1, for some integer k). Find a unit fraction…

A: To find: Unit fraction representation of 3n, for any positive odd integer n.

Q: 3) The solution of the system by Gramer's method x + 2y + 3z = 6 2x + 3y + 3z = 8 5x + 2y + 2z=9 Is…

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Q: Consider the data x=(1,2,3) and y=(3,2,1). Use the scheme of divided differences to determine the…

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Q: Eliminate the arbitrary constant. y=Ax 5 + Bx3

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Q: Let f and g be differentiable functions such that f'(0) = 3 and g' (0) = 7. If h(x) = 3f(x) - 2g(x)…

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Q: 5 (a) Compute the roots of the quadratic polynomial s² + 2s + 5. (b) Is the polynomial s2 + 2s +5 an…

A: Using square root method we will solve this problem

Q: DEFINE REPEATED POSITIVE EIGENVALUE WITH TWO INDEPENDENT EIGENVECTORS?

A: We know that a number t is called an eigenvalue of the matrix A if it satisfies the matrix equation…

Q: Eliminate the arbitrary constant. 2x y=c₁' e B A y"-y'- 2x=0 C -X (D) +c_e 2 y"-y'-2y=0 2y"-y'-2x =…

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Q: '= (x+y=2)², y lod=2 (sety/xu)

A: What is Initial Value Problem: An initial condition and an ordinary differential equation that…

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Q: Find the value of 'a' for which the tangent to th ƒ(x) = (a + 2) x³ − 3ax² + 9ax - 1 never makes an…

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Q: the sum of the roots of the equation 1/(x + a) + 1/(x == 1/c is zero, then prove that the product of…

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Q: If [x² - 2x + a] = 0 has no solution, then find the values of a (where [] represents the greatest…

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Q: If ab + bc+ca=0, then solve a(b-2c)x² + b(c-2a)x+c (a-2b) = 0

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Q: {1, 2, 3, 4, ...} is equivalent to {10, 20, 30, 40,.

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

Q: How many milliliters are there in 0.5 liters? 5,000 500 50

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Q: Let ne Z and AABC be a right triangle with right angle at C. If sin A and sin B are the roots of the…

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Q: ای )porve ereco if: er f= 3² szt.dt de

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Q: An integer point is a point on the xy-plane with both coordinates integer. Given a convex pentagon…

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Q: 6. xy² = y³ – x³, y(1) = 2 - d.x 7. (x + ye/)dx - xe/ dy = 0, y(1) = 0

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Q: Explain the Initial Value Problems in homogeneous linear system?

A: To Explain: The Initial Value Problems in the homogeneous linear system.

Q: Consider the linear program Maximize the value of 2x1 - 3x2 among all vectors * R² satisfying 21 > 0…

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Q: n A pendulum moving in simple harmonic motion is modelled by the function s(t) = -5cos (), where s…

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Q: Examples: Solve each inequality algebraically, representing your solution on a number line.…

A: Given: Ex. 1) 3x-1<8, x∈ℝ To solve: The given inequality algebraically and represent the solution…

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A: Given:→ patio blocks measure = 12 inches by 6 inches→ the patio measure = 14 feet by 12 feet…

Q: Solve for Inverse Laplace s+ 2 F(s)=- s² (s²+1) 5² +3

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Q: Write the base five numbers 1234 five and 1.234five as base ten numbers.

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Q: The family of circles with center on the line y = 3. A B 1+ (y − 3) y''+ (y') ²=0 1+ (y-3) (y)…

A: please comment if you need any clarification. If you find my answer useful please put thumbs…

Q: If lim f(x) = 7 and lim g(x) = -4, find the following. X-6 x →6 (a) (b) lim_ [f(x) + g(x)] X.6.....…

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Q: b←((b←d)vd) p h. A➜(~A↔(A⇒B);

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Q: Consider the linear program Maximize the value of 2x₁ - 3x2 among all vectors à € R² satisfying £₁…

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