Q5) Given points A (10, -3, 4) and B(-4, 3, 5), find: a. The distance from A to B. b. A unit vector directed from A towards B. This is found through.

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Q: +ナノスマー ) rapezoi

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Q: Q3 Find the area that enclosed by the circle r-2sin for T/4 ≤ ≤π/2 (3) V=2sin Bout ()

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Q: 73. y" + 3xy' + 3y = 0. (-3)*x²47 y = a[1 + 2 (-34 x²] + a ₁ x + 2 ₁ 3.-5.-7. (2k + 1) ! ANS.…

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Q: Which of the following series is converges or diverges. If the series converges, find its sum? 2n+2…

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Q: Q3: Find the general solution to the following differential equation by using method of undetermined…

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Q: (a) Define Fourier series. The function x³ is periodic with period 2/ on the interval [1,-1]. Find…

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Q: Consider two vectors u, v, and is the angle between them, which of the following is false A. 00 if…

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Q: 9. Find the mass of a car antenna that is 3 ft long (starting at x = 0) and has a density function…

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Q: 10. What is the work done moving a particle from x = 0 to x = 1 m if the force acting on it is F =…

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Q: (3) Prove the Generalized Triangle Inequality: if a₁, a2,..., an € R then |a₁ + a₂ + ··· + an| ≤…

A: (3) To prove generalized triangle inequality by principal of mathematical induction. The generalized…

Q: Find the Laplace Transformations of the following functions L{sin 3t - 4 cos ()}

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Q: Question 3 Give the form of a particular solution of y"" + 2y" +9y' +18y = 3e-4 + sin(3x) - 3x.…

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Q: 1. Test the convergence and divergence of 2. Σ (n+1)! 3!n!3n 6n² 6. Σ=1n3+1 7. Σ=0 210-√n n2+1+2 of…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Exercise: Find unit vector perpendicular to the plane .P(1.1.1). Q(2.1.3). R (0.2.1) and find area…

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Q: 2.1) SOLVE x²y" + xy² + (2x² - 2)y = 0 BY BESSELS METHOD

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Q: Q3 Find the area inside one leaf of the three leaved rose r-cos30 (upper lim and lower limit= n/6)

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Q: B) Solve the following linear equation using Grammar's rule 12x + 3y = 15 2x - 3y = 13

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Q: 10.* The function f is defined by f(x) = 3x + 1 for x≤ a, where a is a constant. The function g is…

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Q: Obtain the Fourier series for f(x) in -π<x<π with period where f(x) = -1+x for -π<x<0 and f(x) 1+x…

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Q: 1.1) SOLVE xy ¹ + 2y + xy = 0 by FROBENIUS METHOD

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Q: Consider the partition P of [0, 1] be given by P = {0, 1/8, 1/4, 1/3, 2/3, 3/4, 1}. What is the norm…

A: Here given that the partition P of 0, 1 be given by P=0, 18, 14, 13, 23, 34, 1 .We have to find the…

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Q: Consider the autonomous system of non-linear equations * = u(x, y), where u is a vector field with…

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Q: solve the differential equation y'+x(y2+y)=0,   y(2)=1

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Q: A projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t…

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Q: 1. Find the Fourier sine and cosine series of f(x) in each case. a. f(x) = = π − x on [0, π], [Hint…

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Q: Fourier series fixis = x sinx ,xe (…,7)

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Q: Suppose the collection = {B₁ (x): xe (0,1)}. Is B an open cover of the interval [0, 1) CR? Give an…

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Q: Calculus Determine where the following function is differentiable and find the derivative: f(x) =…

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Q: Additional Activities Time to show what you got! Find the equation of the line that fits the data…

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Q: (10) Define the metric d on R² by d( (x₁, y₁), (x2, y2)) = max{ |x₁ − x2\,|y₁ - y2|}. Verify that…

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Q: Show that the given collection F is an open cover for S such that it does not contain a finite…

A: a cover of a set {\displaystyle X} is a collection of sets whose union includes {\displaystyle X} as…