Derive a three-point formula of order O(h²) to approximate f'(ro) that uses f(xo-h), f(ro), f(xo + 2h) about numerical analysis

Q: (c) The figure shows two similar prisms, if the volume of Prism I is 40 cm³, find the volume of…

A: Solution :-

Q: Find the point wise limit of the sequence &{fn} the sequence {fr} Where Sin nx In (x) = √n if tay J…

A: Here we use basic limit property

Q: Q1: Evaluate the following integral using three points Gaussian quadrature. I = f(x².cos(x))dx

A: Given integral is I=∫03x2cosxdx. We have to evaluate the given integral by using three point…

Q: Solve the problem PDE: Utt=9UTT 9urz ВС: IC: u(x, t) = help (formulas) 00 u(0, t) = u(1, t) = 0…

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Q: 7) A can of soda with a temperature of 56 degrees Fahrenheit is placed in a refrigerator which is…

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Q: rt - fe e2u f(u)du f(u)dut-

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Q: after t seconds. A particle undergoing straight line motion has velocity v = (t²+1)² where the…

A: given velocity of the particle v=4tt2+12 where 't' is in seconds

Q: Given the two series: 1+2n4 (1) Σn=1√√³+6 In(n) and (II) Σ+% Using the limit comparison test (LCT)…

A: I Given series is ∑n=1∞1+2n4n5+6. We have to check whether the give series is converges or diverges.…

Q: The region bounded by the curves y = r² and y = x³ is rotated around a. the z-axis; b. the y-axis;…

A: the region bounded by the curves y=x2 and y=x3 is rotated around  a) the x-axis b) the y-axis c) the…

Q: Consider the full SVD of a matrix A = UEVH, it is incorrect to say that (a) Only V is unique, (b) U…

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Q: [1] Find the Fourier series: (a) f(x) = 3 sin(2x) - 5 cos(7x) + cos(8x) (b) f(x) (c) f(x) = cos²…

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Q: Obtain the solution of the following differential equation y"-4xy' +(4x² - 2)y = 0

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Q: 4. Solve the following 2nd_order OPES (5 steps) day = ( x ) = + (1 - 1) dy dx² dx h=0.02 Y(0) = 4 ال

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Q: Calculate the value of the line integral fds where f(x,y,z)=e² and C is described by C (x, y,…

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Q: 1. Find the linear regression у 0.7 0.19 0.96 0.21 1.13 0.23 1.57 0.25 1.92 0.31

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Q: The volume, Vm³, of liquid in a container is given by V = (3h² + 4) ³ - 8, where h m is the depth of…

A: Solution

Q: Rusing cylind √1-2², 09 the solid B th +22=2 using

A: 6. (a) The required solid is R=x,y,z: 0≤x≤1, 0≤y≤1-x2, 0≤z≤4-x2+y2. In cylindrical coordinate…

Q: Prove that the following ODE IVP is well-posed: where f(t, y) = 1 + t sin(ty). y' = f(t,y), 0< t <…

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Q: Solve the following integration corrected to 3 decimal places using: 1. Trapezoidal rule 4 intervals…

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Q: Explain how to interpret these statements: “the block is not a quadrilateral,” “the block is a…

A: The statements are: Statement 1: the block is not a quadrilateral Statement 2 : the block is a…

Q: Ev 2y² Use tri

A: We have to find the volume of the solid bounded by z=1-2y2-3x2 and the xy plane.   The volume of the…

Q: * Please write explanation and don't use calculator Consider a damped spring-mass system with ? =…

A: Given,m=1kg, k =4kg/s2 ,b =5kg/sand ω=2rad/s

Q: Consider the integral equation: -19t f(t)-39e = 5t- - 5. s sen(t - u)f(u)du By applying the Laplace…

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Q: • Find the upper Riemann sum U(f, P) and the lower Riemann sum L(f, P) for each of the following…

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Q: m For fixed a, consider the quantity cos(x + h) Q(x, h) = a) What is the limit (x) of Q(x, h) as…

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Q: Q1/ find the Eigen value and Eigen vector for the smallest Eigen value if [2 1 -11 [A] 3 2 -3 L3 1…

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Q: Use mathematical induction to prove that for all integers n ≥ 1, 1 +7 +13 + 19 + ... + (6n − 5) =…

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Q: E = {x₁ 13 W bases for P₁ (x) ;) (77) SFEE f = [2x-1, 2x+1s be two ordered (ive P(x) = a₁x+ ac) SETE

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Q: 1 Function on the interval (-3,3) and has n=5. Draw the graph. 2 x +1 Determine the approximate area…

A: By trapezoidal rule .∫abfxdx= Δx2​fx0 +2fx1+2fx2+2fx3+⋯+2fxn-1+fxn       where    Δx=b-an    By…

Q: 7. Alan has 20 ducks and goats on his backyard. The animals have 64 legs altogether, how many ducks…

A: Alan has 20 ducks and goats on his backyard. Animals have 64 legs altogether. We have to find the…

Q: f'(x) 6 48 3 8 Write down the value(s) of x for which the original function y = f(x) is a.…

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Q: (c) f(x) = |x₁| + |x₂| for x = = (x1, x₂) € R².

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Q: 1. Identify the surfaces of the following equations by converting them into equations in the…

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Q: How many distinct values can z = i^(3i) take on?

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Q: Give example of strongly convergence in Functional Analysis

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Q: Suppose that 100 lottery tickets are given out in sequence to the first 100 guests to arrive at a…

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Q: 1. Given the following vectors: u=(1, 2, -4) and v=(2, 3, 5) Find: a) u.v b) u.u c) (u.v) v d) angle…

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Q: 1. Use de Moivre's theorem to find all solution to 25 +32 i = 0. Give the solutions in polar form…

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Q: Q4\ Find the average value of f(x,y) = (+√y) where 0≤x≤y and 0 ≤ y ≤ 4.

A: We have to find the Average value of given function in given domain.

Q: 4. Solve the following 2nd-order OPES (5 Steps) day - (d dx² + (1-1) dy Y(0) = 4 Y(0) = cas / h. A

A: Let us solve the given 2nd - order ODE using Euler method in the next steps.

Q: 1) USE THE INVERSE OF THE COEFFICIENT MATRIX, S.N=0 4 -1 Last digit of S.N.] A = 1 1 b = 4 1 6 0 -2

A: Here the solution is given by using the inverse matrix method. The inverse of matrix is obtained by…

Q: 1. Identify the surfaces of the following equations by converting them into equations in the…

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Q: What is the negation of the proposition/statement: 10 > 14 ?   10 < 14   10 ≥ 14   10 ≤ 14   10…

A: Given, proposition/statement is 10 &gt; 14  We have to find negation of the given…

Q: Equation: f(x)=2x-x-1.7 Tolerance: x10-5 Assume x = 0; b=2

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Q: Set up only a triple integral that will give the following: Use dV= r dz dr dº the volume of R using…

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Q: Wayne was late in making a $3,500 payment to Dora. If Dora accepted a payment of $3,801.75 and…

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Q: (a) f(x) = sin(x) X at x = 0.

A: a.the function is not defined at x=0. The function has right hand and left-hand limits same and…

Q: OS: S ≤²≤ √√4-(2₂²2. that lies above th sing spherical coor

A: 6. (a) The required solid is R=x,y,z: 0≤x≤1, 0≤y≤1-x2, 0≤z≤4-x2+y2. In cylindrical coordinate…

Q: 1. Use de Moivre's theorem to find all solution to 25 +32 i = 0. Give the solutions in polar form…

A: Note: According to Company Guidelines we are providing the answer of first question. Kindly post…

Q: 6. A rectangular classroom has length that is 1 meter more than 2 times the width. Find the…

A: Let assume  Width  of rectangular classroom = W=    x Length of rectangular classroom =L=    2x+1…