Evaluate the function f(x) = cosx by a Taylor polynomial of degree 4 centered at a = 0, and x = - =7 4 O a.2.2074 O b.4.2074 O c. 3.2074 O d. 0.7074 O e. 1.2074

Q: let f(x)= X be 1 213 (-√5 < X<√) Y.V Pind P{/X/7/1.5},

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Q: Suppose X ∼ B I N ( 6 , 1 3 ). Find P ( X = 2 ). Express your answer as a decimal rounded to 4…

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Q: Calculate M6 for f(x) = v7x over [3,6]. (Use decimal notation. Give your answer to two decimal…

A: The function is fx=7x over 3, 6. The number of sub-intervals is n = 6. Obtain the step-size as…

Q: Make a substitution to express the integrand as a rational function 3 f dx x²+x√√x

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Q: 5. Find the polynomial P2(x) that approximate the function Ax)=sin(x) over the interval [0, 7/2].…

A: Here we use Newton's Divided Difference.

Q: If the function f(x)=e* is approximated by Lagrange polynomial P3(x) that interpolates f at 4 points…

A: Linear interpolation is achieved by constructing the lagrange polynomial p3 of order 1 , connecting…

Q: Let g(x) = Vx . Form a Lagrange interpolating polynomial of degree two to approximate the value of…

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Q: Find the Maclaurin polynomial of degree 4 for the function. f(x) = cos(3x) Select one: O a. 1- O b.…

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Q: Use bisection to find the root of function f(x) = x* – 18 that lies in the interval (1.8, 2.2)…

A: Given:           f(x) = x4-18 The root of f(x) lies in the interval (1.8, 2.2) The relative…

Q: nich of the following is a polynomial function? a. y = sin x b. y = cos x C. y = 3x d. y = x³

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Q: Let f (x) = 2x + 3. Compute R6 and L6 over [0, 3].

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Q: Let f(x) = 0.85x* +x* – 1.26x² – 2.6x – 1. Which of the following is the approximate root x, if x =…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations and to…

Q: 0.125 0.250 0.375 0.500 0.625 0.750 f(x) 0.79168 0.77334 0.74371 0.70413 0.65632 0.60228 1- Using…

A: Lagranges interpolation formula of order 3  with 6 points (x0,y0),(x1,y1),(x2,y2),(x3,y3),(x4,y4)and…

Q: For the function: g(x) = 1 - || , - 2 ≤ x ≤ 2 Find the fourier transform (0 otherwise)

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Q: 2.Use the Newton interpolation polynomial to find f(0.05) based on the following data points {(-0,5,…

A: Given data is  {(-0.5,0.97939),(0.15,4.72743),(0.5,13.69506),(1,61.25661)} we have to find the value…

Q: Q5) Consider the Table below. y, = f(x,) 0.5 25.5 1 1.2 8.75 2.5 12.5 3 3.2 5.25 Find cubic Newton…

A: Given,

Q: Find real numbers a,b,c,d such that And then find f'(z) =? f(x) = x² + axy + by² +1(cz² + day + y²).

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Q: For the function f(x)=e*cos(x). let xo = 0₁x₁ = 1, and x₂ = π/2. Use the Lagrange interpolating…

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Q: Find the unique root of the function 2x3 – 5x2 + 3x – 1 = 0 in the interval [1, 2] using secant…

A: The secant method uses the formula: xn+3=xn+1-f(xn+1)⋅xn+2-xn+1f(xn+2)-f(xn+1) to perform the…

Q: Sketch the following functions -2. x² + y² + 2y + 1+ 2+ z = 0 -3. z² = x² - 4y² 4. z = -x² - y² - 1

A: We need to standardized equations to get type of surface they represent and then draw it