1. Using Newton's backward-differences, construct interpolating polynomials of degree one, two, and three for the following data. Approximate thespecified value using each of the polynomials.A. ƒ(0.9) if ƒ(0.6) = −0.17694460, ƒ(0.7) = 0.01375227, ƒ(0.8) = 0.22363362, ƒ(1.0) = 0.65809197B. ƒ(0) if ƒ(−0.5) = 1.93750, ƒ(-0.25) = 1.33203, ƒ(0.25) = 0.800781, ƒ(0.5) = 0.687500

As you ask multiple questions and according to the rule I have to solve the first one only. Please…

Answered: 1. Using Newton's backward-differences,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Example 7.4. Using Newton's backward difference formula, construct an interpolating polynomial of degree 3 for the data : f(-0.75) = -0.0718125, f(-0.5) = -0.02475, f(-0.25) 0.5) - = 0.3349375, f(0) = 1.10100. Hence find f(-1/3). (Anna, B.Tech., 2003)
Kleiber's Law states that the metabolic needs (such as calorie requirements) of a mammal are proportional to its body weight raised to the 0.75 power.¹ Surprisingly, the daily diets of mammals conform to this relation well. Assuming Kleiber's Law holds, answer the following questions. (a) Write a formula for C, daily calorie consumption, as a function of body weight, W. NOTE: Use k for the constant of proportionality. C(W) = (b) If a human weighing 150 pounds needs to consume 1800 calories a day, estimate the daily calorie requirement of a horse weighing 740 lbs and of a rabbit weighing 11 lbs. NOTE: Round your answers to the nearest calorie. Daily calorie requirement of a horse = Daily calorie requirement of a rabbit = calories Choose one calories (c) On a per-pound basis, which animal requires more calories: a mouse or an elephant? ¹S. Strogatz. "Math and the City." The New York Times. May 20, 2009. Kleiber originally
= 2.4 · x² and g(x) 6 · x² and h(x) = - 1.1 · a°. Without evaluating, determine the sign of each of the following Suppose f(x) expressions. f(2.6) f( – 11) g(2.6) g( – 11) h(2.6) - h( – 11) Submit
Which is the correct order for the values of the following functions, if you want to start with the smallest and end with the largest. cos (π), sin (11π/6), sin (2 π), cos (5π/3), tan(5π/4) cos(π), cos (5π/3), sin(2π) ,sin (11π/6), tan(5π/4) cos(π), sin (11π/6), sin(2π), tan(5π/4), , cos(5π/3) cos(π), sin (2π), sin (11π/6), cos(5π/3), tan(5π/4) , sin (2π), sin (11π/6), cos(π), cos(5π/3), tan(5π/4) tan(5π/4), sin (11π/6), sin (2π), cos(5π/3), cos (π)
A jogger runs along a straight path and never changes direction. Let v(t) be the velocity of the runner, in feet per secon after t seconds. Choose the options that correctly complete the following statement: The distance traveler by the runner between t=0 and t=60 seconds is given by the ___1.____ and is measured in ____2.____ 1.) - output of the function v(t) - the area under the curve v(t) from t=0 to t=60 - the area of the rectangles under the curve v(t) from t=0 to t=60 - the slope of the tangent line to the function v(t) 2.) - square feet - feet per second - feet per second squared -feet
For items 18-19: A particle is moving on a line at t seconds, s ft is the directed distance of the particle from the origin, v ft/sec is the velocity, and a ft/sec² is the acceleration of the particle. If a(t) = 2t – 1, and v = 3 and s = 4 when t = 1, find the particle's 18. velocity function A. v(t) = t2 – t + 3 C. v(t) = t² – t + 5 B. v(t) = t² – t – 4 D. v(t) = t² – t – 2 19. position function (equation of motion) A. s(t) %3D13-12-41 +는 B.s() ='-2+ 3t +증 C. s(t) = - + 5t –? D. s(t) =t -t² – 2t + 20. The cost of a certain piece of machinery is $700 and its value is depreciating with time according to the dv formula = -500(t + 1)-?, where V dollars is its value t years after its purchase. What is its value 3 years after its purchase? A. $ 320 B. $350 C. $315 D. $325

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