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Q: Find the mean for the following group of data items. 87, 84, 86, 79, 84, 90

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Q: diagonalizing matrix P and a diagonal matrix D such that P-1AP-D, if mat diagonalizable. 3-2 0 1 4

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Q: The system of first order differential equations y₁ = 5y₁ - 1y2 y2 = 1y₁ + 3y2 where y₁ (0) = -9, y2…

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Q: Solution Given that, boto] (19 ·X43 1-9/3 › X73 F(x) = f(x) = 1/² F(x) = 20. XL3 cx @PIXEN)=…

A: Continuous probability distribution is a type of distribution that deals with continuous types of…

Q: b. Determine whether the following series converges, or not. Explain. 3πn² n²-5 Σ 71=1 COS

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Q: (a) 2 -1 -1 0-1 0 0 2 1

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Q: a. b. 5x + 1 3x If the square in the middle has a side of 3, what is the formula for the area that…

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Q: 15. Let A be an infinite set. Prove that there exists an injective function f: N→ A.

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Q: Let r > 0 be a positive real number. This problem will give a simple approach to limn→∞ rn. ii.…

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Q: Given n > 1, let p be a prime number such that n < p < 2n (by the way, 2n there is always a prime…

A: here we need to expand  by using  nr=n!r!×n-r! and then show that expression obtained have a factor…

Q: 5. Jar A contains 4 red marbles and 6 blue marbles. Jar B contains 8 red marbles and 2 blue marbles.…

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Q: Let S be a ring with ideals X and Y. Consider the subset X + Y = { x + y | x ∈ X, y ∈ Y} of S. Show…

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Q: Suppose parametric equations for the line segment between (8, 10) and (4, 1) have the form: a + bt…

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Q: (a) Find a potential field function for F(x, y) = (x + y)i + (x - y) or prove none exists. (b) Find…

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Q: Find the median for the following group of data items. 35, 32, 31, 30, 36, 33, 29, 31 The median is…

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Q: 8. Use strong induction to prove that any amount of 10 cents or more can be formed using only 3-cent…

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Q: (a) Prove that () = 1, (n) = 1, and (^)= (₁ = ¹) + n if 1≤k ≤n-1. (b) Use part (a) and induction to…

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Q: Refer to the function: g(x) = [x] , determine g(-0.4) .

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Q: Evaluate the line integral of f(x, y) = 0 ≤ x ≤ 2. for √1 + 9xy dS = 1 + 9xy, where C is the portion…

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Q: (ii) If f is continuous at xo, prove that F is differentiable at xo, and F'(xo) f(xo).

A: f:a,b→ℝis Reimann integrable . Fx=∫axftdt f is continuous at x0 f bounded

Q: Find the gradient vector field (F(x, y, z)) of ƒ(x, y, z) = x²y³zª . F(x, y, z) =

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Q: Use spherical coordinates to find the volume of the solid contained inside the sphere x^2 +y^2 +…

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