Find the approximate root of function f (x) = 0.48x³ - 2.7x - 5.36 by using the newton raphson method with initial guess x 3 0 = 3.5.

Q: Find the Fourier series expansion of the function x+² in [-7, 7].

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Q: Consider the following first-order ODE: d = (1+2x) √9, x = [0, 1], y (x = 0) = 1 Using step size of…

A: consider the following first order ODE dydx=1+2xy with x=0,1 and yx=0=1 claim- use step size h=0.05…

Q: Solve y" - 3y + 4 = 0; y(0) = 1, y'(0) = 5. Hint (Use completing the square. You may use the laplace…

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Q: Consider the boundary value problem (BVP) d² u du +2u = 0, dx² dx (1) -3. u(0) = 0, u(1) = 1. Using…

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Q: .Let X and Y be Banach spaces and let T/X -> Y be a continuous (bounded) linear transformation from…

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Q: Let f(x,y) = xsiny + ysinx +xy be given. In part a)-d), determine which partial derivative is the…

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Q: Q) Calculate the coordinates of the center of mass of the disc D bounded by the circle x² + y² = 2y,…

A: Given: The density of the disc is: fx,y=1+yThe disc D is bounded by the circle x2+y2=2y We have to…

Q: 3) For an ideal gas, the pressure is related to temperature and volume by the formula 8.31T V . If…

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Q: A pilot wishes to fly from Bayfield to Kitchener, a distance of 100 km on a bearing of 105°. The…

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Q: Given x = y² +y +₁ from 0≤ y ≤2 1. Which of the following expression giver the Are length of the…

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Q: Theorem 5 (Converse of Lagrange's theorem for abelian groups): Let G be an abelian group of order n…

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Q: 2. Suppose that a firm's production function is y = a ln x₁ + b ln x₂ + (1 - a - b) ln x3 where a…

A: Given- Suppose that a firm's production function is y = a lnx1 + b lnx2 + 1 - a - b lnx3 where a and…

Q: Consider the nonlinear system: • Fcxx₂y³ = *4* xy + x² = y ²³²-1=0 g(x₂₁47= x+2y-x₁³²³² - 2 = 0 (9)…

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Q: Find the sum 24 n=1 - n(n+1) हैं ये aca n²+1 ni 4n²-1 ΣLn/n (2n+1) (+1)(n+21. n=1

A: Introduction: Like a sequence, an infinite series can also be convergent or divergent. When the…

Q: Find symmetric equations of the normal to the surface, r (u, v) = at a point (1, 1, 3

A: given ru,v=<u2,v2,u+2v> therefore ru=∂∂uu2i+∂∂uv2j+∂∂uu+2vk=2ui+0j+k…

Q: . Suppose that F(t) is a twice-differentiable function of one variable. Define the function f(x, y)…

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Q: 1. Use the first four non-zero terms of Maclaurin expansion corresponding to e*, to approximate the…

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Q: 25. Use Taylor series method of order two for the step by step integration of the differential…

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Q: Similarity coefficient of upper and lower base of a frustum of a right pyramid is m: n.the plane…

A: Given: The plane parallel to the base of the pyramid runs across the middle of the height of the…

Q: Find the inverse of A = (1 201) 22 1-2-1 21 (2-221

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Q: Find the solution to the boundary value problem: d²y dt² The solution is y = dy 5 +4y= 0, y(0) = 1,…

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Q: X be a limit point of set ECR, then every o infinitely many points of terval containing

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Q: Solve for f(x) the integra 1

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Q: alues given in the table above Appropriate 3-point and 5-point formulas h' different values using…

A: Given the values of x and f(x). To find f'0.3 using Appropriate 3 point and 5 point formulas. x…

Q: The differential equation dy ax = x-2y+3 2x+3y-4 is reduced to [homogenous

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Q: Prove the locally compact normal linear space is finite dimensions.

A: We have to prove the  locally compact normal linear space is finite dimensions First we define the…

Q: the K-map below, the minterms for the fo Cm(1,6 .). 3,4 01 11 10

A: Given sequence F(z,y,x) hence after  Solving k- map  F(z,y,x)=sum of products m(3,4) Because zy'x'=4…

Q: 1) ? =?−?/z+? How does the (? ∈ ∁) function take the shaded region given in Figure 1?  show that it…

A: Given that w=z-iz+iwz+wi=z-iz-wz=wi+iz1-w=i1+wz=i1+w1-w and,…

Q: fixed a system of coordinates in the planes. Consider the having equation y = (x-2)². The line x=2…

A: The curve C is given by the equation                                    y=(x - 2)2  . . .  (1)…

Q: The surfaces r = 2 and 4, 0 = 30° and 50°, and p = 20° and 60° identify a closed surface. (a) Find…

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

Q: Analysis 3: Based on the design of the antennas, the Standard Absorption Rate (SAR) of RF power by…

A: Given that,  The standard Absorption Rate (SAR) of RF power  is given as, SARt=2t+e0.1t+2…

Q: Find the sum M "n=√n²+1 n=1 -√n(n+1) Ž noi 1 4n²-1 acasmu n=1 ((1+1)(n+21)

A: Introduction: Similar to a sequence, an infinite series can be convergent or divergent. When a…

Q: Solve the following system of linear equations using the inverse matrix method. = 5 = 3 = 0 y2z 3z…

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Q: If x ER" is an n x 1 column vector, then ||x||- Select one: O True O False xx", where x is the 1 x n…

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Q: f P is the projection on a closed linear subspace M of a Hilbert space H, then M is invariant under…

A: Let M be invariant  under T . Let x by ant arbitrary vector in H , then Px in M , and so TPx is in…

Q: 3. Given: F(t) = , a) sketch the plane curve represented by F (indicate the orientation), b) find:…

A: Note: As company policy, we solve first three sub-parts only. Please resubmit the remaining…

Q: 2 d² 2 + ( x x - y)² - 3y² = 0 dy dx • Solve x²yd²y

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Q: Let C be the triangular path in R³ lying on the plane x+z = 3 from (0,0,3) to (1,3,2) to (1, 1, 2)…

A: Given: Fx,y,z=xez,3x+y3,1+z2, C is a triangular path in ℝ3 lying on the plane x + z = 3 from (0,0,3)…

Q: Browse the internet and find a very nice differential equation model (not among the ones covered in…

A: To find: A differential equation.  The procedures below must be taken in order to write a…

Q: Evaluate 4x²-3x+2 dx. f x Solve the initial value problem = cost-2 sint, z(0) = = x+1 Find the…

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Q: 5. The graph of y = f '(x), the derivative of f(x), is shown below. Given f(2)= 8, evaluate f(-2). 0…

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Q: 2. Evaluate 8 sin x Xx dx

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Q: Set up the line integral ∫c x2z ds, where c is the line segment from (1, 6, -1) to (- 4, 1, 5). (No…

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Q: Consider the function z = ye³x + 2x cos (y) a. Find the partial derivatives. b. Find the tangent…

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Q: 55 The fuel efficiency (in miles per gallon) of a sports utility vehicle weight according to the…

A: # for c part mention the table as in lecture notes Given E(x)=0.0000016x2-0.016x+551800≤x≤5400 Find…

Q: Given a function f(t) = țª¹ − 43ť² + 18 t + 360, which of the following functions g(t) satisfies the…

A: Sol:- Given function :- ft=t4-43t2+18t+360Again Lδt-aft=Lδt-agt............1Here a = 6From equation…

Q: Let Y be the portion of the sphere x² + y² + (z − 2)² = 4 which lies below the plane z = 3 with…

A: Given  ∫Cz2+3yi→+2z-2xj→+z2k→.dr→ The portion of the sphere x2+y2+z-22=4 and plane z=3

Q: Let A Man (R) be a square matrix. Explain what it means, by definition, that a polynomial m(z) =…

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Q: 6. A magazine article stated that the average age of men who were getting divorced for the first…

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Q: Let F(x, y) = . Evaluate (3,2) SF.. (1,-1) F.dr

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