Cureve fitting of f(x) ax^b is the curve fitint of the function find the value of a and b and neat work
2. Variational method (15 pts each, 30 points total) Fitting of a collection of the data points to a given functional form can be done using variational method. Say, the measured data points are given in the table: 1 0 1 Assuming the fitting function is f(x; α, β, ), where α, β, are the variation parameters, the fitting error functional can be formulated as: F[f-E:(f(xi; α., )-%)2. This function is a mere function of the variational parameters, so the...
Linear Algebra. please complete or show me how to to complete it. idk what to do. thank you Curve Fitting It is desired to fit a polynomial curve through evenly spaced (x-direction) points. The general form of a polynomial is: f(x) = 4x + 4-1x* +ajx + ao If one wishes to fit a curve through, say 4 points, one would need a 3rd degree polynomial (n = 3) such that 4 unknown constants could be evaluated. In the absence...
linear algebra 3. Determine whether the function (p,q)= a, b + ab + ab, where p(x) = 4, + ax + ax and g(x)=bo bat checking the following axioms of the definition of an inner product: 40 72x+ax and g(x)=b, +bx+b.rbelong to P2 represents an inner produd A) (5,8)=(8,8) B) (f, g+h)=(5,8)+(f,h) C) c(f,)=(cf,8) for any scalar c D) (f, f)20, and (f, f)=0 if and only if f(x)=0
Linear algebra show all work [2 1 0] A= 1 31. 2 1 1 Find the characteristic polynomial for A. It should have the form f(x)=\"+aX+X+C. Calculate B=(A? +A+b). Verify that B = A-
(1 point) Do the following for the points (-3,1), (-2,2),(-1,1), (1,-2), (3,-2): (If you are entering decimal approximations, enter at least five decimal places (a) Find the equation for the best-fitting parabolay.2 +ba c for these points: y0.0139x*2-0.6887x-0.209 (b) Find the equation for the best-fitting parabola with no constant term y2b for these points: (c) Find the equation for the best-fitting parabola with no linear term yc for these points: 0.414xA2-0.6805x Ch5.2b Least Squares and Curve Fitting: Problem 5 Previous...
The graph of a linear function f is given. (a) Find the rate of change of f. (b) Express f in the form f(x) = ax + b.
i need help with these two questions. it is from linear algebra Describe the possible echelon forms of the following matrix. A is a 2x2 matrix with linearly dependent columns. Select all that apply. (Note that leading entries marked with an X may have any nonzero value and starred entries may have any value including zero.) A. Х * B. 0 X 0 0 0 X C. х * D. 0 0 0 0 0 1 5 4 -5 -8...
Please Show work. only using ALGEBRA. DO NOT USE CALCULUS TO SOVLE 9) Use the linear function to find the followings if they exist. f(x) = –28 + 4x (a) Zero of the function. (b) Slope of the function. (c) Domain of the function in interval notation. (d) Range of the function in interval notation. (e) y-intercept of the function as a point.
. Let F(a,y)-(3e +secztan,e -90 (a) Show that F is a conservative. (b) Find a function f (potential function) show that F (c) Use above result to evaluate Jc F. V. dr, where C is a smooth curve that begin at the point (2, 1 ) and ends at (0,3). (cos t, sin t) fromtto t particle that moves along the curve. (Write the value of work done without evaluating (d) Find the work done by the force field F(r,...
For the following function, find (a)Ax, (6) Xk, (c)x* as the left endpoint or right endpoint, (d) f(x) Ax and (e) use part a-d and the method that was discussed in our class to find the area under the curve. f(x) = – x2 + 16x over the interval [0,3).