a 12 Let A 0 a 1 For what value of a is A diagonalizable? Explain your 00 a answer.

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Q: We want to approximate the following integral using the composite Simpson 1/3 rule: I = √² e²x sin…

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Q: 9. Let (x) and (y) be two sequences converges to c with x y for all n. Assume that f is defined for…

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Q: A set is not open if its complement is not closed. O True O False

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Q: 3. For the following terms from the expansion of 10 (a + b)¹⁰ state the coefficient in both „C, n r…

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Q: Given w = = f(x, y, z) = 4x² + y² + 42². Sketch the level surface of the function for w = 1.

A: The level surfaces of the function: w=f(x,y,z) results, when w=k slices the function: w=f(x,y,z).…

Q: Evaluate the following integrals. *x*+5x x*+5x³+20x+16 2. x(x²+4)² dx

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Q: Approximate the following integral using Gauss quadrature 1.5 I - [e² da Use 16 significant digits…

A: The solution is given below

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Q: 12. Which of the following subsets of R² are subspaces? Give a geometric interpretation whenever…

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Q: Consider the polar curves C₁ : r = 2 - cas 0 and C₂: r = 2 + 2 cos 0, 0 € [0, 27). 1 (1.) Show that…

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Q: Question 10. Prove that if d₁, d2, d3,..., d, divide n (including 1 and n), then o(d₁) + olda) +…

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Q: Let p(x), g(x), r(x) be the following expressions: p(x) :: : x² - 7x + 10 = 0 q(x): x² - 2x - 3=0…

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Q: 1. The graph of a function f(x) is given below. Note that the graph contains the points (0, 1), (4,…

A: Given: A function contains the points 0,1, 4,-5 and 8,1 and has the graph: (a.) To write: A…

Q: Decode the number using the given private key. Decode the number M = 38 using the private key d = 17…

A: Given: The number M=38 and the private key d=17 and n=77.   To decode: The given number using the…

Q: 3. (3) Determine the remainder when dividing 3x3-4x2+17x-11 by a. (x+3) b. (5x-2)

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Q: O O 0 -1 -3s -3se-3 s²(1 − e^³ª) [−3se¯³ª − e ³ + 1] -3se 3-³-1] $²(1-es) -3se $² (1-3) -3se ³³ + e…

A: To determine the Laplace transform of the below periodic function. ft=−t,    0<t<3,    ft+3=ft

Q: G I G L 6.1 soup sound ofte for

A: It is a repeating or recurring irrational number as 21 21 is repeating and hence it is called as…

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Q: 12 12 None of the alternatives are correct · (1¹)) = If L <=lim In then f(t) is 042

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Q: 2x + y + 6z = 7 3x + 4y + 3z = -8 x - 2y4z = 9

A: According to guidelines we solve one question .thanku.

Q: Let f(x) = x² + 2x - 1 and g(x) = 2x - 4. Find 3f(x) - 2g(x). 2x² - 2x - 14 3x² + 2x + 5 Option 1…

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Q: 6. Let g be defined by x² sin ², x * 0, 9(x) = {x² sin ², 0, x = 0. (a) Prove that g is…

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Q: Which of the following is the orthogonal trajectories of the family of cissoids y² = ? a- y² = C(x +…

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Q: Find the steady-state probability vector for the stochastic matrix P. [0.2 0.1] P = 0.8 0.9

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Q: 19 A 27 25 15 18 B -11- D -10- 3 9 15- G 10 E 20 8 F

A: A connected acyclic graph is called a tree. Let G be a simple connected graph. A spanning tree T is…

Q: a) The matrix B is a 3 x 3 matrix and det (B) = 3. Give the reduced row echelon form of B. b)…

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Q: Find the eigenvalues of A, and find a basis for each eigenspace. 63 A-[$] = Select one: A.6-3i, 3₁…

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Q: Find a power series solution of the differential equation y' = 4y

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Q: 1. Given z = f(x, y) = √x² + y² + 4y. (a) Find its domain and range. (b) Sketch the level curves for…

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Q: (b) Given the power series f(x)=1-x-2x³ - 4x4 To(x) = 1 T₁(x) = x T₂(x) = 2x² - 1 T3(x) 4x²-3x =…

A: Given that The power series fx=1-x-2x3-4x4                      1 and Chebyshev polynomials T0x=1…

Q: Evaluate the inverse Laplace transform L^-1 { (1 + e^-2s)^2 / (s + 2) }

A: Solution

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Q: The total cost function for a product is  C = 3x2 + 59x + 243.  How many units must be produced to…

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Q: {E] E]} 36. Let W = Span Find an orthogonal basis for W.

A: The solution is given as

Q: State the Fundamental Theorem of Calculus (both parts). Illustrate Part 1 with a diagram. Please use…

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Q: Coloring the vertices, find the chromatic number of the following graph G. Select the correct…

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