4. (S.15). For the given function f(x) = v2+r2, let ro = 0, r1 = 0.5, and r2 = 0.8. Construct a Lagrange interpolation polynomial of degree at most one and two to approximate f(0.45), and find the absolute error; %3D %3D

Q: he precision of drone’s GPS is limited with the speed of the drone. The height derivation y from its…

A: The expected derivation of height will be: y = ah3+bE(y) = E(ah3+b)       =aE(h3) +b

Q: y = exp( 2-x ) at x = [-1,2].

A: Given   y=e(2-x) , in the interval x=-1,2 So the value of y at x=-1,0,1,2 are…

Q: Consider the function f(x) = 2x³ slope of the function on this interval. By the Mean Value Theorem,…

A: given function f(x)=2x3-12x2-30x+9 given interval -4, 9 We have to find average slope.

Q: oint (−8, −11), changes direction at the point (−2, −25), goes up and right becoming more steep,…

A:

Q: Find the range of the function x + 1 f : R → R,f(x) = 2х — 3

A: the range of a function is defined for y for which  y=f-1(x) Here f(x)=(x+1)/(2x-3) y=f-1(x) =>…

Q: f(r) = 2r² - e² %3D

A:

Q: For the function f(x) = X2V5 – x %3D Also find the following: 1- The max. and, min, and inflection…

A:

Q: t f(x) be a function tabulated over 4 points, as shown in the table below. Using a degree 3 Newton…

A: Introduction: Extrapolation is the process of computing the value of a function outside the given…

Q: The functions f(x) = 1 and g(x) = 5x are orthogonal on the interval [-1, 1]. %3D %3D

A:

Q: For each of the following functions: (a) Find the linearization L at a = 4. (b) Use the…

A: let y = f(x) is the function  to find local linear approximation at x= x0 we need to find equation…

Q: 13. Height of Girls The function f1) to approximate the median height, f(t), in inches, for U.S.…

A: Given information: The function to approximate the median height in inches for girls at age t…

Q: f(s, t) = – 11s?t* – 15st? – 14

A: Given,         fs,t=-11s2t4-15st2-14

Q: p(x, y, z) = 4 – x² – y²

A: Domain of the function is the values of x,y and z for which function is defined.

Q: [Q1] The following table shows the distance measured for a given time seconds in a car race Time (t)…

A: 1. We must find polynomial of the form S(t) = a + bt + ct2   Where, S represents the distance, a, b,…

Q: A metal sphere is heated so that t seconds after the heat has been applied, the radius r(t) is given…

A: Given, a metal sphere is heated so that t seconds after the heat has been applied, the radius r(t)…

Q: 1. (8 pts) For the function f (x) = 1 – 2x², find: а. f (x + h) b. f(x + h) – f(x) f(x+h)-f(x) С. h

A: From the given problem:   fx=1-2x2   a.   fx+h=1-2x+h2=1-2x2+2xh+h2=1-2x2-4xh-2h2   b.…

Q: Compute f(x) for the data below: (0, 1), (1.25,3) and (3.25,7)

A: For the given data,since the difference between the x values are not same,we are going to find the…