Let S be a subset of a vector space V. Show that span (S) is the smallest subspace containing all the vectors in S.

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Q: The solution of the following Bernoulli's equation xy' +2y=-x³ (cos x) y² is:

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A: According to guidelines i solve first question only so kindly request you to repost the remaining…

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Q: 3) Let R be the solution region for the system of inequalities x² +9y² - 18y ≤ 0 y² + 2y = x² > 0 a)…

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Q: 4. (-3x+2y) dy + (-3y + 2x) dx = 0; y(3)=8. Determine y(5).

A: The solution is given in the next step.

Q: Let R be the solution region for the system of inequalities f(x) = +9y² - 18y +2y=x² ≤0 > 0 a) Find…

A: INTRODUCTION: A group of two or more inequalities in one or more variables is referred to as a…

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Q: Let's define the function f: R+R by f(x) = 4x -1 2x+5 .(R* is the positive reals.) Prove that f is…

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Q: The solution of the following Bernoulli's equation xy' + 2y = x¹(cos x) y² is

A: The correct answer is not given in options.The solution with the correct answer is given as

Q: GIVEN: (-1,0 ≤v <2 f(v) = 0,2 ≤<v < 4 (4v, 4 ≤v < 6 Calculate the FOURIER COSINE SERIES of the given…

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Q: (у) ну- (-см ) - уве Сай

A: Given differential equation is xy - dydx = y3e-x2

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Q: (a) Use Gauss Jordan elimination method to solve the system of linear equations given by AX= B where…

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Q: Consider the following. f(x) sin - {xta (² () <1 ||21 Find the x-values at which is not continuous.…

A: f(x) = sinπx2,|x| &lt; 1x,|x| ⩾ 1 At x = -1 ⇒limx→-1+f(x) = limx→-1+sinπx2 = -1⇒limx→-1-f(x) =…

Q: ) Consider a horizontal parabola of the form ay² + by + c = x where a ‡ 0, and whose graph contains…

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Q: Given data is Groups 0-10 10-20 20-30 30-40 40-50 Total No of student (f) 3 7 50x80100=40 8 12 10 40…

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Q: Find the Laplace transformation of the function f(t) = cosh at sinh bt Find V2f where f = e²x sin2y.…

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Q: fermat's theorm states, if p is prime & a is a positive integer not divisible by p then-------- and…

A: Fermat's states that if p is a prime and a is a positive integer not divisible by p, than ap-1≡1 mod…

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Q: Use an appropriate test to determine whether the series converges. 9 3 Ink Σ k=3

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Q: Consider the following linear program: Required: a. Use the graphical solution proceduret o find…

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Q: Let's define the function f: R+R by f(x) = 4z - 1 2x+5 .(R+ is the positive reals.) Prove that f is…

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Q: Exercise: 6 1. (dy/dx)-2y tan x=y² tan²x. Ans. (-1/y) sec² x=c+ (1/2)x tan³x

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Q: 20. Determine the eigen values of the following matrix: 5 15 31 21 a. 1, 6 b. 4, 1 c. 3, 4 d. 2, 5

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Q: Maximize p = x-y+z+w subject to x+y+z≤8 y+z+w≤ 8 x+z+w≤9 x+y+ws9 x ≥ 0, y ≥ 0, z ≥ 0, w ≥ 0.

A: Introduction: The vertices are systematically examined as potential solutions using the simplex…

Q: .Let A= 10 1 1 1 -1 -1 1 O Solve the system Ax=(1 1 1) using the results of part (a).

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Q: Use the method of variation of parameters to find a particular solution of the differential equation…

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Q: ks) During a game of hacky sack during lunch, Bryce attempts to pass the hacky sack to Paige who is…

A: Consider the diagram as per the given information, Here we need to find the measure of ∠BAD.

Q: a. If each of 8 students scored 90 on a test, find each of the following for the scores. i. Mean ii.…

A: (a) 8 students scored 90 on a test. (i) mean = Total spaceNumber of players ⇒ mean = 8*908 = 90⇒…

Q: The vector space C[a, b] of all continuous real-valued functions on [a, b] is not the span of any…

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Q: Determine f(x) from the table: X f(x) -1 0.5 1 2 4 0 1 2

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Q: The ODE below models a spring, mass, dashpot system with damping constant c, spring constant k, mass…

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Q: ∞ 11 Evaluate f te-2+ sintat.

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Q: (b) Show that U (x, y) = eu cos v, V(x, y) = eusin v are conjugate harmonic of each other if f = u +…

A: It is given that,  f = u+iv  is analytic. We have to show that,  U(x, y) = eu cos v  and  V(x, y) =…