Can you help me solve this Question? Derive the formula to get the third forward finite difference (x+3h) to get the coefficient of forward finite difference approximation O(h^3) Notes: Get the coefficients on the third line only

Q: Consider the function ?(?) =1/x and the data points ( 0.1, 10), (0.2, 5), (0.3,3.33) Find Lagrange…

A: Introduction: The formula of Lagrange interpolation polynomial is given by,…

Q: 1. f(x) = (3x² – 5)(2x* – x) 2. y = (6x³)(7x*) 3. y = (3x2 -1)(x² + 5x + 2) %3D -

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Q: f(x) = -9 f'(x) = -(x²+9) (x²-9)2 f"(x) = 2x(x²+27) (x²–9)3 4. Given a) Provide a complete analysis…

A: a)

Q: Suppose that Sports Stylz Inc. determines that the revenue, in dollars, from the sale of x…

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Q: Which of the following methods should not be used to find the root (s) f(x)= x^4-6x^3+13x^2-12x+4 ?…

A: Given function is    f(x) = x4 - 6x3 + 13 x2 - 12 x + 4 Given methods are (a) The bisection method…

Q: 5 y 4

A: The order of surd is indicates the index of root to be extracted. For example: n√(x) here n is…

Q: Determine the value of when y = 2/3 given that = 2-√√2²-5 and 5y=2+√√√2²-5. 0 3 03/2 01 O 1/2

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Q: 1/3(x+4)-5/6(x-3)>1/2x+1

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Q: 4. An interpolating polynomial of degree 20 is to be used to approximate e-² on the interval [0,2].…

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Q: Q1/A Find the equation of line perpendicular to x - 4y - 7 = 0 and passes through the point (3,-4).

A: Solution is given below:

Q: x6 · 6x² + 12x² - 13 = 0. -

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Q: How many real roots does the function f(x) = x 9 - 20x + 1 have? Find their approximate locations.

A: The best way to locate the number and nature of real roots will be to plot the equation.

Q: (10x-19) (3r + 2) (5x-3)

A: We will use the exterior angle property of a triangle that states that an exterior angle is equal to…

Q: Find the root of the following equation: f(x) = x^2-x-2=x with boundaries [1,2] Show Answer in the…

A: To find the root of the equation using the bisection method in a particular boundary, first find the…

Q: How close to - 1 do we have to take x so that 1/(x+1)^2>400 ANSWER AS FRACTION

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Q: If = K =14.5 %3D Q3) Use the third order Newton's Interpolating Polynomials to estimate the value of…

A: Here, the value of k=14.5. So we have, x 1 2 3 6 f(x) 29 87 9 145

Q: Evaluate f(x+h)-f(x) h , given f (x) = 5 x+2 Use a / to represent a fraction line. Do not include…

A: The function is given byTo determine: The expression of .

Q: I'm still a bit confused, how do we get (x-2) and (-7/3)?

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Q: Verify that x² +1 = (x² + v2x + 1)(x² – V2x + 1). %3D

A: **Since you have asked to solve question no. 42, you will solve that question.Question 42.We need to…

Q: PC=2х7-5x6+4x4-3*3+2*-4

A: We can use the intermediate value theorem and the fact that polynomials are continuous functions to…

Q: How many total solutions can the following funnction have? F(x)=3x^8+6x^4-2x^2+5x-4

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Q: Through the bisection method, how would you clearly demonstrate that the function f(x) = x -2…

A: Solution

Q: L{ 13/2 }

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Q: Find the following using the rule indicated (only): i) If f(x) = (6x? – 8) (3x + 2), find f'(3)…

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Q: Derive a 2nd order accurate finite difference expression for the first derivative at point i-1,…

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Q: Evaluate: √x(x - 5)dx Solution: √ √x(x - 5) dx = f x²(x - 5) dx by law of exponents/ = f (x² - 5x)…

A: Given problem:- ∫√x(x-5) dx

Q: 7/Evaluate y = (Sinx) at (x= x/5) by using polynomial interpolation from the following table, then…

A: Let us find the polynomial for f(x)

Q: 2. 7x' + 15x + 9x + 1 = 0. %3D Find exact value(s) for x such that (x+ 1)

A: Solve the equation

Q: Show that E(x-a) = E(x; -x) + n(x- a), squares about a = is smallest. other words, show that the sum…

A: The answer is as follows :