Problem No.4 If 2 1 3 show that A - 2A? - 9A = 0 but A? - 2A - 9I# 0 A= 1 -1 2 1 2 1

Q: Find the number of different signals that can be made by arranging at least three flags in order on…

A: find different signals

Q: Qs: Solve the fallowing differential equations

A: Given differential equation is xy3y'=x4+2y4. We will find the general solution of the given…

Q: -1. For the sequence ao, a¡, d2, ..,An» • each n e NU{0}, an+1 = (n +1) a,n. Use mathematical…

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Q: 5 6 0 4 0 0 0 0 -1 -2 7 3 A = (2) 1 1. The matrix A can be decomposed using partial pivoting as PA=…

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Q: 4. Determine the minimum value of the function y = f(x) defined implicitly in the equation x² + 3xy…

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Q: 5. Suppose ? IETiyi = 22. Find E(, + y). 30, v? 27 and %3D %3D i%3D1 i=D1

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Q: Use Teller's method to S0lve the differential equation y-X Jy when h=0-2 ,Y(1) =2 Usc The fifth rank…

A: As per the question we have the following first order differential equation : y' = x√y  ,  y(1) = 2…

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A: we know that we can use F test for testing of equality of two standard deviations.

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Q: An equation and, its graph are given. y=-3 Find an inequality whose solution is the shaded region.…

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Q: Let the matrix below act on C2. Find the eigenvalues and a basis for each eigenspace in C2 3 - 3 3 3

A: The given problem is to find eigen values and corresponding eigen spaces of the given 2*2 matrix.…

Q: Compute the distance d from y to the plane in R' spanned by u1 and uz.

A: We have to find the distance d from y to the plane in R^3.

Q: Determine the volume V of the region bounded by z=x²+y², z=2x²+2y², y=x, and y=x².

A: The volume integral is first setup using the given information. Then the region in the xy - plane is…

Q: Find the eutre me points of the Following Function.

A: Maxima minimum of the two variables

Q: Four friends Sheldon, Raj. Leonard and Howard decided to invest their 50,0 savings in stocks. Each…

A: Make a table as follows   Sheldon Raj  Leonardo Howard Blue chip × ×   × growth × × ×…

Q: The Joint Distribution of the Minimum and, Maximum EX2: PYoof FX X(n) (x, y) = P(X(1) < x, X (7) y)…

A: Here, the assumption must be X1 , X2 ,. . . . . , Xn all are iid variables with cdf F.  Then, FX(1),…

Q: (d) f"(t) – 4f(t) = sin 2t where f(0) = 1 and f'(0) = -2 Taking Laplace transforms of both sides of…

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Q: (a) Show that the list {p o(x), p 1(x), p 2(x), ...,p n(x),...,} where po(x) = 1, p1(x) = 1+x, P;(x)…

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Q: Define f : R → R by ƒ(x) = [x]. Determine the collection of points C on which f is differentiable,…

A: The solution is below.

Q: Question 8 Find the Laplace transform of h(t) = 3sinh(2t) + 3sin (2t) 3 (A H(s) + s2+4 s2- 4 2 В…

A: Laplace transferom

Q: dy 2y - 2xVy dx

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Q: Let y(x) be the solution of the initial value problem: y" – 5y' + 6y = 0, y(1) = e°, y'(1) = 3eº. In…

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Q: How many different permutations each containing all letters of the word STATESMAN can be formed 2 -…

A: arrangement , word   STATESMAN

Q: Apply Parseval's identity to the function f (x) = x, - nSxSn and deduce that n16 = 1/12+1/22 + . +…

A: For the solution follow the next steps.

Q: Two Canadian bicyclists are training for the Summer Olympics. On their initial locations, one of…

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Q: Determine what rule of replacement was used: (~ Q v ~ R) ɔ (S ɔ ~ ~ T) .. - (Q · R) ɔ (S ɔ ~ ~ T)…

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Q: QUESTION 4 12 10 10 Figure 2 A building is 8 feet wide and 16 feet long (refer Figure 2). It has a…

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Q: 6 4 Find the Inverse Transform of F (s) = s s-8 s- 3 A f(t) =6+e-8t – 4e ³ B f(1) = -6+e + 4e ¬3« C…

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Q: rmine the marginal cost, m at is the approximate chang of producing q units of a ge

A: y=C+I+Gc=a+byI=e+dy so,

Q: Can be used to solve syctems of linear equatilons DIRECT METHOD 1: Gauss- Jordan Elimination…

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Q: Use the Adam-Bashforth method of the second order to solve the second equation y’=y(x+y) when h=0.1…

A: Given differential equation is y'=y(x+y), step size h=0.1 with initial condition y(0)=1 Let x0=0,…

Q: An object starts from rest from its starting position and moves along a straight line in such a way…

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Q: Sketch the curve x = 3sin?t, y = 4cos?t (0<t <÷) by eliminating the parameter, %3D and indicate the…

A: Introduction: When a function y=fx can be expressed as x≡xt,y≡yt by introducing a new variable t,…

Q: The characteristics of local rings is either 0 or prime.

A: Let R be a local ring (with 1). Suppose char R = n ≠0. Let, if possible, n be divisible by two…

Q: Use the Fundamental Theorem of Calculus to find the derivative of 6 F(z) sin(t*)dt F'(r) = -sin(216)

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Q: 9. Let S = { (1,2), (4, 5), (0, 2)}. Check whether S is a basis for ?2?

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Q: Consider the following IVP: y"- y = 4cos t; y(0) = 0, y'(0) = 1 Find the general solution. A y (t) =…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 6. Suppose that T:R' →R° is the linear transformation defined by 1 1 1 T 2 0 1 Is T an onto mapping?…

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Q: B. Prove each of the following by mathematical induction 2. 1' +3³ +5³ + ...+(2n – 1)° = n² (2n² –1)

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Q: Solve for a root/roots of the functions 1. f(x) = e* – tan x

A: Newton's Raphson method

Q: 1. Consider the initial value problem, 2y 3y2 1<t<2, (la) y(1) = 1. (1b) The exact solution to (1)…

A: The complete solution is in given below

Q: Consider the space P2 and consider the vectors B ={ 1 + 2t +2t2, 3+5t +3t2,-2-3t} and C = {1,t,t2}.…

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Q: Verify that F Vy and evaluate the line integral of F over the given path: F = (x®y®, x°y®) , p(x, y)…

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Q: In Lxercises 7 through 12 use a fixed point iteration scheme to find the required roots. 7.…

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Q: Solve D.E using bernouliis equation os(y)·y' + sin(y) =x

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Q: H.W 1. Find the centre of mass of a thin plate of density & 3 bounded by the lines x 0, y = x, and…

A: Centre of mass of bounded region

Q: Use the shell Method to find the volume of the solid generated by revolving the area bounded by the…

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Q: Undamaged items My ranking Box of matches Food concentrates 50 feet of nylon Parachute silk Portable…

A: We will Place the number 1 by the most important, 2 by the next most important, and so on, with 15…

Q: Xdx + Y'dy

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Q: Cramer's Rule x + 2y + 3z = -5 3x + y - 3z = 4 -3x + 4y + 7z = -7

A: