Question 4. Find the general solution of x" - 2x² + x = t when t> 0

Q: The following data gives an approximation to the integral M= f(x) dx N₁ (h) = 0.8047, N₁ () =…

A: Consider the given information, M=∫01fxdx, and N1h=0.8047, N1h2=0.8396 we have to assume that…

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Q: Consider the wireless channel model given as y(n) = hx(n) + w(n). Show that the least square channel…

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Q: Q4: (1) y = 3logst (2) y = t sin¹(t) + √1-t² 4 (3) y = (sech t) (1 - In(sech t)) (4) y = (t² + 2t)…

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Q: In harbor engineering, the equation for a reflected standing wave in a harbor is given by λ = 16, t…

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Q: -) Let B₁ and B₂ be orthonormal bases for an n-dimensional vector space V. Let A = TB₂B₁ be the…

A: Given Data: Let B1 and B2 be orthonormal bases for an n-dimensional vector space V. Let A=TB2←B1 be…

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Q: Question 20 Given that u= 年 7 叶造 9 嗯嗯嗯 888 H 5 H-A -1 and v= O No answer text provided. 高最高 Find a…

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Q: 5 7. Let X,Y be two sets. Denote F(X,Y) the set of all funtions from X to Y. Let A, B C X such that…

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Q: Questions 24. The graphs of f(x) and g(x) are shown below. The value of (fg) (-1) is: f(x) g(x) 5x…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Find the eigenvalues of the matrix A. The eigenvalues are X₁ < A₂ < 3 < A4, where A = 4 -8 -10 0 0 0…

A: Given matrix is A=2-8004-100000-111200-1617 Let the eigenvalue be λ Then  A-λI=0 So…

Q: (a) Find parametric equations for the line through the point (-6,1,2) and the point of intersection…

A: Note:- As per our guidelines, we can answer the first of this problem as exactly one is not…

Q: The population of persons infected Covid-19 virus rate proportional I days the city and after 4000…

A: Given- The population of persons infected by a Covid-19 virus is known to increase at a rate…

Q: The family of conics represented by the solution of differential equation (4x+3y+1) dx…

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Q: 4. Use the error formula to find a bound for the error at a = 0.31 in approximating a sin(2x-5+1 on…

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Q: 6. Use the following information to answer the next question Two functions are shown. y = f(z) is…

A: Given that the graph of y=fx which is in left side and the graph of y=afbx−c+d, which is in right…

Q: y"-2my' + m²: = memx √√x

A: Given differential equation as y''-2my'+m2=memxxm

Q: Find the acute angles between the lines y = √3x - 1, y = -√3x + 2 Find the length and direction…

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Q: Questions 2. If the function y = f(z) is transformed to the function y=f(-12 horizontal translation…

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Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then…

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Q: The sizes of two matrices A and B are given. Find the sizes of the product AB and the product BA, if…

A: Solution : Given Two Matrix A &amp; B Size of Matrix A = 2 x 4 Size of Matrix B = 2 x 4 To multiply…

Q: 6. One of the functions whose graph is functions. Identify the function and Graph A 4

A: The opposite of derivatives are antiderivatives. A function called an antiderivative does the…

Q: (c) Find a subspace U such that R³ = W₁ OU.

A: C. Hint: Use the result of part (b) in the part (c) and obtain the required result.

Q: 2. Given Taylor polynomial is pn(x) = Σ=₁¹(x − 1)', compare log (x) and its Taylor polynomial degree…

A: Given that : Taylor polynomialpn(x)=∑j=1n(-1)j-1j(x-1)i To Find : Taylor polynomial of 1 , 2and 3…

Q: Question 5 LOCAL MINIMIZER II. Prove that if X, is a vector such that Vf(X.) = 0 and the Hessian…

A: Given: Let f be a function, twice diffenerentiable at x*such that  ∇f(x*)=0 and ∇2f(x*) is positive…

Q: Σ n=l 8+1 7" -5

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Q: d. Find the linear approximation L(x) for f(x)=x²-x-1 at a = 1.

A: Given function is fx=x3−x−1. d We have to find the linear approximation Lx for function fx at a=1.…

Q: 3 = [³ A = 3 . If possible, find an invertible matrix P so that D = P-¹ AP is a diagonal matrix. If…

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Q: approximate e-0.04 P₂, e-0.04 n absolute crror usir

A: Given Data: f(x) = e-x  p2(x) =1-x+x2/2 To Find: p2 e-0.04  and absolute error

Q: Q5: a\. Let f(x) = x³ - 3x² -1, x ≥ 2. State and prove the theorem of derivative of inverse…

A: Here , f(x) = x3-3x2-1 We find required value.

Q: c) Let T: Rn → Rm be a linear transformation given by T(x) = A(x). 3 2 0 619) ). 0 0 0 A = 0 1 i)…

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Q: Use the Laplace transform to solve the given initial-value problem. 2y+3y" - 3y - 2y = et, y(0) = 0,…

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Q: Emilio deposits $1,000 at the end of each year for 5 years into a savings account that earns 5%…

A: Bank always caculate Compund interest so we will caculate amount compoundly

Q: Question 18 Diagonalize the matrix A, if possible. That is, find an invertible matrix P and a…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: The given problem is to find the inverse Laplace transform of the given function and find the value…

Q: DEFINITION 7.1.1 Laplace Transform Consider the following function. f(t) 1 L{f(t)} 1 Use Definition…

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Q: Use rounding to 6 digits and compute each of the following: Q2- d) P(.01), where P(x) = (exp(x)…

A: We need to use 6 digits rounding to evaluate the expression: P(x)=ex-1-xx2 for x=0.01. We need to…

Q: Answer the following questions on Error. If 1.11 was approximated by 1.09, then Q1- a) Find the…

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

Q: ▷ SECTION 5.2, QUESTION 4 2 OF 9 1 [100 A= 2 3 2 det (1²1-A) = det 020 Las 4 Loox L •)-3=0…

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Q: Find a set of parametric equations for the curve of intersection of the cylinder (x − 1)² +: 4 the…

A: We will use trigonometric identity  sin2t+cos2t=1 and parametric form of standard ellipse to find…

Q: Find a linear mapping T: R4 -> R3 whose kernel is spanned by (1,2,3,4), (0,1,1,1). What is a base…

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Q: 4% Define the given functions s f1(t)=1; 6 f2(t)=(3*exp(2 t) +6"sin(5 t) +2*t^2)^2; 7 f3(t)-(2*sin…

A: As per the company rule, we are supposed to solve the first three sub-parts of a multi-part problem.…

Q: 5x−y=12 Step 2 of 2 :   Determine the missing coordinate in the ordered pair (?,1/2) so that it…

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Q: Find the angle between the vectors. (Round your answer to two decimal places.) p(x) = 1 - x - x²,…

A: Using inner product formula Cosθ=p, qpq We have p(x)=1-x-x2, q(x)=1+x+x2 and in general p,…

Q: 4 2 00 2 2 4 2 0 4 16 -8 0 28 4 Also, find its equivalent diagonal form and derive its canonical…

A: This is a problem of Linear Algebra.

Q: (1)=1 1/21 )=3/14, f(1)=17/28 ]=2/7, f(1)=13/21,

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Q: If your system has a subcritical bifurcation and your initial condition is too large, the solution…

A: As per the question we are given the following dynamic system : ẋ = μx + x3 - x5 Now we have to…