4. (1) Use Lagrange interpolating polynomial to find the polynomial that passes through the points (-1,0), (0,-1) and (2,3): (2) Use Newton's divided differences to find the polynomial N₂(x) of degree 3 that approximate the function f(x) passing through the given 4 data points in the following table. And compute the approximation of f(1.5). X f(x) -1 -7 0 -5 1 -3 2 5

Q: Consider the function y = (a) Find the x- and y-intercepts of f(x)

A: An x-intercept of a function f(x) is a point on the x-axis at which the graph of the function f(x)…

Q: - 110 1 I 9

A:

Q: Q1. Let f(x) = V2-x,g(x)=/5+x, then find the following : (1) (F-g)(- 1) (ii) (iii) domain of…

A:

Q: Consider the function f(x)=3x+8 on the interval [2,10]. Find the average or mean slope of the…

A:

Q: Suppose that f(x + h) – f(x) -2h(x + 3) – h? h(x + h + 3)²(x + 3)² Find the slope m of the tangent…

A:

Q: of and ду of For the function f(x,y) = In (x+ 3y), find

A:

Q: determine the value of the parameter a that will make the function f(x) = [ax+1, x- -1

A: The given function is fx=ax+1,    x<-1x2-3,     x>-1 To find: Value of parameter a

Q: if z=x+jy, then  check whether the function f(z)=1/1+z2 is an entire function .state the reasons

A: According to the given information, it is required to check whether the given function is entire or…

Q: Four identical circles of radius r are inscribed (as shown) in a square of side x feet. (a) Express…

A: A detailed solution is given below.

Q: -1| 03 f(x) | 15 8 | -1

A:

Q: Find the autocorrelation function for the following functions. -1 2 -1

A: The mathematic expression of the first signal in its period is written as: x1t=tT   for 0<t<T…

Q: of A, B, and C.

A: We are given that the polynomial function is of the form f(x) = Ax2+Bx+C. We need to find the values…

Q: Suppose I give you the following function f(x) = log,x and for the following points: x- 3, x, = 9,…

A:

Q: (a) Develop a first-order method for approximating f" (x) which uses the data f(1 - 5h), f (z – 3h),…

A: Please check step 2 for the solution.!

Q: The point (3, 7) is a

A: Follow the procedure given below.

Q: 3- Find the root of function F(x) = x² – 10 Using XL=3 , X,-4 , ɛ = 0.1

A: given function Fx=x2-10 with condition XL=3, Xu=4, εS=0.1 claim- find the roots of the function