Time, t (sec) 10 15 20 22.5 30 Velocity, v(m/s) 227.04 362.78 517.35 602.97 901.67 (a) Determine the value of the velocity at t = 16 seconds using third order Lagrangian polynomial to the nearest 3 significant figures. m/s. (b) Find the absolute relative approximate error for the third order polynomial approximation to the nearest 3 significant figures. percent.

Q: 6) The stopping distance d of a car driven at velocity v by an unimpaired person on a paved road in…

A: Note: As you posted multiple subparts I need to solve only first three sub parts.

Q: Let (x) *+1 (a) Evaluate (0), (6), and a + 6). R6) = Ra + 6) - (b) Find the domain of f. (Enter your…

A: We will evaluate f at the given points and check where the function is undefined and determine the…

Q: Find the average rate of change for the function over the given interval. y = ex between x = - 4 and…

A: Given:-               Find the average rate of change for the function over the given interval.y= e…

Q: The rate (in liters per minute) at which water drains from a tank is recorded half-minute intervals.…

A:

Q: v = f(h) = 4/400 – h , 0 < h < 400 expresses the speed (in ft/sec) of a ball in terms of its hcight,…

A:

Q: 7)A particle moves along a straight line. Its velocity is given by the function v(t) = 4t. What is…

A: The velocity of the particle is given by v(t)=4t3 The formula for the average velocity on the…

Q: Your company revenue (in dollars) as a function of time (in months) is given by 60, 000 R(t) t- 5 a)…

A:

Q: The average rate of change of the function y = x² in the interval 2 sx< 5 is %3D

A:

Q: a) Consider the following data: 0.4 0.6 0.8 1.0 1.2 y 1.63 2.22 3.35 4.79 5.05 i. Approximate…

A:

Q: Suppose the distance s (in meters) covered by a particle moving along a straight line after t…

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.