Q4. Suppose that there is a system of 100 equations in 100 unknowns and the elimination takes 1 second. Then the time required to carry out back substitution on it is about D. 0.02 A. 0.005 B. 0.01 C. 0.015

Q: solve using laplace transform ૧ . y"+y = f(t) where: (0)=0, y'(0)=1 1 0, 0≤ t 2π y

A: The given differential equation is                    y''+y=f(t),  y(0)=0, y'(0)=1 where…

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Q: 8. Which line does not lie on the plane r = (1,5,0) + s(2,-3,1)+t(1,−1,4), s,t € R? a. V = (1,5,0) +…

A: To Find: Which of the given lines does not lie on the plane r = (1,5,0)+s(2,-3,1)+t(1,-1,4) where…

Q: L-1 { s-1 (s² +9) Find laplace inverse.

A: To Find: Laplace Inverse i.e., ℒ-1s-1s2+9

Q: Write an equation in slope-intercept form for the line with y-intercept -5 and slope 3/5

A: Write an equation in slope-intercept form for the line with y-intercept -5 and slope 3/5

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Q: Consider polynomials with degree less than or equal to n. We can think that each polynomial…

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Q: et P, be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned…

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Q: In a certain Region, about 7% of a city’s population moves to the surrounding suburbs each year, and…

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Q: Suppose in a Country Waffleland, there are two socio-economic classes. The working class accounts…

A: Solution:This is the case which jjust distinguishes two levels of income, Low and High.If the high…

Q: 5. Find all integers 100 ≤ n ≤ 999 such that the last three digits of n² is same as n.

A: To find: All integers  100≤n≤999 such that the last three digits of n2 is same as n.

Q: x1 + x2 + x3 = 0 x4+x₂+2x3 = 0

A:

Q: 5. Solve the system of linear equation: * x1 + x₂ x2 = 2 x1 - x2 = 2i

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Q: Problem 3 (A) Solve the matrix equation Ax-b where A- (B) Is it possible to solve Ax b for any given…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

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A: The function f(x)=logx is defined for x>0 The function f(x)=x is defined for x≥0 Note: If logba=c…

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A: The lines are parallel if both the lines have same direction. The lines are same if the lines are…

Q: 2y+3z=-1 ich method is the best way to solve this system x-3y +z = 5 [3x-y-z = 9] Gauus Sidel b)…

A: Option d is correct.

Q: (a) Find the chromatic number for the graphs A, B, C, D, G, and H: 6 9 A B (b) Classify all graphs…

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Q: Let (-3, 8) be a point on the terminal side of 0. Find the exact values of sin 0, csc0, and cot 0.

A: Here we use basic trigonometry to solve this

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Q: : Find Fourier Series of the Function: -K f(x) = { k -π<x<0 0 < x <π K

A: By Bartleby policy I have to solve only first one as these are all unrelated &amp; lengthy…

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Q: Substitution of the largest a bsolute value → Gauus with partial pivating? ture or false? true False

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Q: (b) If WCU, prove that (Recall that U+W = (c) If U + W = U, prove that WCU. U + W = U. = {u+w|u€ U₁w…

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Q: All of the infinite series below diverge. Which one may we conclude diverges by the "nth term test?”…

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Q: Prove that An nxn matrix A is non singular if and only if it can be written as a product of…

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Q: In a three-dimensional coordinate system (R3), the equation x2 + z²=9 represents a

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Q: Which of the following vectors is orthogonal to the plane 3(x - 7) + (y + 8) - 5z = 15? O O O

A: Given equations of plane 3(x-7) +(y+8)-5z=15this is an equation of the form a(x-x1)+b(y-y1)+…

Q: L- s-1 (s²+9) Find laplace inverse

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Q: blem 5. Let P, be the vector space of all polynomials of degree 2 or less, and let H be the subspace…

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Q: uestions 1. Use Euclidean Algorithm to find the greatest common divisor of 1207 and 569.

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Q: In how many ways can a voter rank five candidates, without allowing ties? A. 5 B. 24 C. 120 D. 60

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Q: -1 3 -6 -4 -3 4 Let y = V1 = | 5 -1 Compute the distance d from y to the subspace of R4 spanned by…

A: We have v1=-1-44-1   , v2=0220 Now,  v1· v2=-1-44-1·0220=-1×0+-42+42-10=0 So, we see that v1· v2=0…

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Q: Find the greatest common divisor of the polynomials. f(x)= x³-11x²+24x+30 & g(x) = x² - 12x +35.

A: We have to find greatest common divisor of Given polynomial function.

Q: ber ? Find its for

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Q: Consider Quadrilateral EFGH with vertices E (-10, 8), F (8, 8), G (10, -6), and H (-6, -10). The…

A: Consider Quadrilateral EFGH with vertices E (-10, 8), F (8, 8), G (10, -6), and H (-6, -10). The…

Q: a) Find an equation of the line through P(1,-2,4) with direction vector v=[2,4,-4] b) Find the…

A: Here we are solving part c.

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Q: Consider two brine tanks connected as shown in the figure below. Tank 1 contains x(t) pounds of salt…

A: Since there is no image for flow in the tanks, i use only the given equation with initial values.

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Q: USING Laplace's transform, solve: +∞ Cos (7x) dx X²+25

A: Introduction: Laplace transformation has a wide range of applications in different fields of…

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