2. Given the following data: X -20 12 4 f(x) -11 1 -2 5 97 Newton divided difference polynomial interpolation for the given data can be written in the form of P₁(x) = Ax² + Bx³ +Cx² + Dx+E where A, B, C, D and E are constants. i. ii. Find the value of A, B, C, D and E. (Do your calculation in two decimal places) State the degree of polynomial P₁(x)

Q: Use Secant Method to approximate the root of the function: f(x)= x2 - 5 at Xo = 2, x1 = 3 What is…

A: we have given the function f(x)=x2-5     x0=2, x1=3 we have to find the approximated root after the…

Q: 17.12 An investigator has reported the data tabulated below for an experiment to determine the…

A: One  consider the given mode:   k=kmaxCCs+C2where, Cs  and kmax are the…

Q: Find the root of x² – e2* = 0 using: a. Bisection method between [0, 1] b. Simple Fixed-Point…

A: Given is the function f(x)=x2-e-2x The objective is to find the root using bisection method and…

Q: Q2 (a) The following table gives the values of an experiment at various sample z Zi 0.3 0.4 0.5 0.6…

A: given table zi 0.3 0.4 0.5 0.6 0.7 0.8 fi 1.1880Id 1.2990Id 1.4777Id 1.6488Id 2.1555Id 2.6666Id…

Q: dx² +2dy - 5y = 2x²-3x+1 dx

A: Given differential equation is d2ydx2+2dydx-5y=2x2-3x+1 So, the auxiliary equation is…

Q: Q2 (a) The following table gives the values of an experiment at various samplez Zi 0.3 0.4 0.5 0.6…

A:

Q: Q3 Solve the system of the linear equation below by the Gauss elimination method with pivoting. -2x2…

A:

Q: An electronic company produces transistors, resistors, and computer chips. The material required to…

A: As per Bartleby's answering policy, we can answer only one question and a maximum of three subparts…

Q: Given the following data. 1 1.5 2.2 2.5 3 Y 4.5 5.501 11.248 15.625 26 i. The relationship of x and…

A:

Q: Q1 Table below contains dataset of a robotic arm during a force measurement on a thigh phantom.…

A: given data  Time(s) 10.5 13.1 15.2 Force(N) 9.27 11.90 13.83 (A) lagrange interpolating…

Q: 4. Given the data below: x 1.0 1.2 1.4 1.6 1.8 2.0 f(x) 2.2183 2.6001 3.0752 3.6730 4.4296 5.3891 i.…

A: The 3-point backward formula f'(x0)≈f(x0-2h)-4f(x0-h)+3fx02h   SOLUTION:

Q: You have a spherical storage tank containing oil. The tank has a diameter of 6ft. You are asked to…

A:

Q: Solve the differential equation dy +y-e"cosu = O, O£ U LO5, ylo)=0 %3D

A: We are given the differential Equation: ⇒dydx+y-e-xcosx=0 ⇒dydx=e-xcos x-y⇒dy=(e-xcos x-y)dxOn…

Q: A = p + prt for r ( banking)

A:

Q: The RC-circuit below can be modeled as sin100t V( R=50 C= 0.1 F di i dt C = E'(t) R- +-= Given…

A: Given that,The RC-circuit can be modeled by the equation,Rdidt+iC=E'(t)Where,E(t)=sin100t,R=5…

Q: 2 -1] 6 -3 4 2 -9 9. 14 For the approximate solution xa = [-1.0, 1.0, 1.0] T, calculate the rela-…

A: Solution: The given system is 42-126-3-8-99x1x2x3=-1-814

Q: Use Secant method to approximate the root of the functior f(x)= x3 - 2x - 3 at xo = 1, x1 = 2 What…

A:

Q: 4. Let P,(x) be the Lagrange interpolating polynomial for the data (0,0), (0.5, y), (1, 3) and (2,…

A:

Q: 3. Show that every sphere through the circle x2 +y-2ax+r²=0, z=0 cuts orthogonally every sphere…

A: This is a co-ordinate geometry problem

Q: A certain gas of petroleum production was compressed during a thermodynamic process according to the…

A: Given that P=CVm where P stands for pressure and V stands for volume. The given data is: P(bar)…

Q: Given the following set of discrete data: 0.2 0.3 0.4 0.5 0.6 0.7 y(x) 0.244 0.405 0.597 0.824 1.093…

A:

Q: numerical method

A: The definition and examples of numerical method are described below.

Q: Given that f(x)=e*. By taking h=10*, where k = 1, 2, find approximate values of f'(2.2) using 4. (b)…

A:

Q: D estimate the integad e usiny compasite trapezoidal sle uith 2-025-

A:

Q: Solve questions 1-8 below by the Euler's method and RK4 method. A simple RL-electrical circuit…

A: