Let P(x) be the Lagrange interpolating polynomial of f(x) = xe²x at the points x, = 0; x, = 0.5 and x, = 1. If P(x) is used to approximate f(x), then an approximation of f fS(x)dx is most nearly: 4.84148 - 6.63667 O 2.13760 0.26349

Q: f(x) = x2 - 1 for the interval of [0,2]

A: To find the area of under curve on [0, 2] Given the function f(x) = x2 -1

Q: B/ Given a polynomial function with following data points: Find x f(x) 0 3.6 1.5 1.8 3 1.2 4.5 0.9 6…

A:

Q: The number of bacteria in a refrigerated food product is given by N(T) = 29T2130T +38, 5<T< 35 where…

A:

Q: Let f(x) = sin x. Find a polynomial P(x) of degree at most 2 such that P(1) = f(1), P(1.1) = f(1.1),…

A: So we have to do a lagrange interpolation to approximate the function f(x) = sin(x) about the…

Q: For the given functions f(x)=sinnx let xO=1,x1=1.25, and x2=1.6. Find the absolute quadratic error…

A:

Q: Consider the function f(x)= e* - 1, the third approximation of the zero p3 of f using Nweton's…

A: Given function is fx=ex−1. We have to find the third approximation o the zero p3 of f using newton's…

Q: Define diffeomorphish between two manifolds and Completly explain why any linear map fiM_N. between…

A:

Q: Let P(x) be the Lagrange interpolating polynomial of 1 f(x) = 3x² + 2 at the points x, = 0; x, = 1…

A:

Q: yes, hi. I've seen another source, use set variables to 0 and then solve individually, answers are…

A: setting z=0 and solving for x and y. similarly setting y=0 and solving for x and z.

Q: Calculate Rs for f(x) = 6 - x over ver [3,5]. R8 IE

A:

Q: Let f(x) = x'/3. By using quadratic Lagrange interpolating polynomial for the given function f(x)…

A:

Q: 2. For f (x) 1, g (x) = 1 + Vx, find the domain and range of f / g, and g/f

A: Given: fx=1, gx=1+x

Q: 2. For the function f(x)=xnx ,given that X f(x) 0.105 0.130 0.155 0.180 -0.23665 -0.26523 -0.28897…

A: Given : x 0.105 0.130 0.155 0.180 0.205 f(x) -0.23665 -0.26523 -0.28897 -0.30866 -0.32487 To…

Q: Time, t (sec) 10 15 22.5 30 Velocity, v(m/s) 227.04 362.78 517.35 602.97 901.67 (a) Determine the…

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

Q: Let f(x)=√x. By use of the little o notation justify that the linear approximation to f at x0…

A: Given,           f(x) =x

Q: Calculate M6 for f(x) = 5 · In(æ³) over [1, 2].

A: Given:   f(x)=5.ln(x3) over [1,3]

Q: Find all points c satisfying the conclusion of the MVT for the function f(x) 5x In(x) + 5 and…

A: