Numerical Analysis Homework 3 Question One: The temperature T over a surface has the relationship: T=-1493y + 2200 y? -

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Numerical Analysis Homework 3 Question One The Temperature T Over A Surface Has The Relationship T 1493y 2200 Y 1 (65.61 KiB) Viewed 88 times

Numerical Analysis Homework 3 Question One: The temperature T over a surface has the relationship: T=-1493y + 2200 y? - 1076y + 500 Knowing that the heat transfer rate q over a surface is given by: q = -kA kaat Where: k = thermal conductivity S.m.K A = surface area(m) = 3 J T = temperature (K) y = distance normal to the surface (m) - Calculate the heat transfer rate q at a surface which has k = 0.025, and an area A = 3 m² , using forward approximation with the most accurate form for h=0.1. Question Two: The distance of a body as a function of time is given as v(t) = 5e-2t+4 where t is in seconds, and v is in m/s. Calculate the acceleration in m/s2 at t = 0.6 s, using a backward approximation of the order O(h), using h=0.5. Question Three: Calculate the value of the first derivative of the function f(x) = 3x3 - 5x2 + 1 Using the backward (O(h)), the forward (O(h)), and the centered (O(h2)). Which approximation is the most accurate?