(10) 3 f(-1) = 1, f(1) = f(0) = 4, and f(r2) = f(1) = 1, to construct interpolating polynomials of legrees at most one and two. Then, use both resulting polynomials to approximate f(-0.5) and find tion

Q: Find f given that f" (x) = 4+ 6x + 24x?, f(0) = 3, f(1) = 10

A:

Q: Let f(x) = v9x+ 8 and g(x) = x+9 be functions from R to R. Find the following. a) (f • g)(x) = %3D…

A: We are given f(x)=9x+8 and g(x)=x+9 and we need to find different composition of the function.

Q: Calculate R3 and L3 for f(x) = x2-8x+2 over [1,4] .

A:

Q: • If Ax)=x +2x-3, Findf (Зс-4)-5fс) To evaluate f(3c – 4), replace the x in f(x) with Зс - 4. To…

A: It is given that, f(x)=x2+2x-3   So to find f(3c-4)-5f(c), we have to plug the required value of x…

Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: Consider the Lagrange polynomial that passes through the 4 data points given by 2 8 y 7 | 151 | 407…

A: We know that L0x is given by  L0x=x-x1x-x2x-x3x0-x1x0-x2x0-x3        1 Here, x0=2,x1=5,x2=7,x3=8,x=4…

Q: For the function, f(x) = 2sin²x - 3sin x, 0<x< 2n , find the following algebraically: /플) =D N플)=D…

A:

Q: Find the following using the rule indicated (only): i) If f(x) = (6x? – 8) (3x + 2), find f'(3)…

A:

Q: Is Z²-1 2-√√2²+4 analytic in 12/2

A: Given:We have to find the following function is analytic or not. =Ƶ2-1Ƶ-Ƶ2+4

Q: The point (3, 7) is a

A: Follow the procedure given below.

Q: 2. Let f: RR by f(x) = -2x + 1. Let A = [2,5] B = [-1,3] C = [−2,3] D = [1, 4]. Find each of the…

A: Here are the solutions:  Note:We have provided the best possible solution for you. Kindly, verify…