Q2/ A: Use Lagrange Interpolation Polynomials' to determine the relationship between thevelocity of the rocket and its time of operation. Estimate the time which needed toreached the velocity (100 m/s).102060Time (s)Velocity (m/s)201204001- √ √Ze-²³ dz2- r (-2.5)B: Find:

Given: Time s 10 20 60 Velocity m/s 20 120 400 To find the time t when velocity reached…

Answered: Q2/ A: Use Lagrange Interpolation…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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In a hybrid-engine vehicle, energy from battery (“b" in Amperes) and from 95 octane unleaded gasoline ("g" in liters) are used intermittently to maximize the distance to be travelled (mileage) between fill- ups and charge-ups. If mileage (M) in kilometers is found out to be: M= 90 b+ 100 g - 3 b' - 5 g? - 2 b g find the values of “b" and “g" that will maximize mileage M, find the maximum mileage and prove that this is a maximum.
Two students want to measure the acceleration a of a cart rolling down an inclined plane. The cart starts at rest and travels a distance s down the plane. The first student estimates the acceleration by measuring the instantaneous velocity v just as the cart has traveled s meters, and uses the formula a = v²/2s. The second student estimates the acceleration by measuring the time, in seconds, that the cart takes to travel s meters, and uses the formula a = 2s/t. Assume that s = 1 m, and that there is negligible uncertainty in s. Assume that v = 3.2 + 0.1 m/s and that t = 0.63 + 0.01 s. Assume that the measurements of v and t are independent. Compute the acceleration using the method of the first student. Call this estimate az. Find the uncertainty in a̟. a. b. Compute the acceleration using the method of the second shudent. Call this estimate az. Find the uncertainty in a,. Find the weighted average of a, and a, that has the smallest uncertainty. Find the C. uncertainty in this weighted…

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Q2/ A: Use Lagrange Interpolation Polynomials' to determine the relationship between the velocity of the rocket and its time of operation. Estimate the time which needed to reached the velocity (100 m/s). 10 20 60 Time (s) Velocity (m/s) 20 120 400 1- √ √Ze-²³ dz 2- r(-2.5) 0 B: Find: