Find the approximate integral of the following function using Simpson's 3/8 rule and determine the acceptable value of n if each function had to ensure that the error of the method is 0.0002.

Q: Consider the function p(x) = x - 4x³+3x²+x-1. Use Newton-Raphson's method with initial guess of 3.…

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Q: The base of a rectangular box, open at the top, is to be three times as long as it is wide. Find the…

A: Given, Rectangular box, l,b,h be the dimensions. l= 3b According to given, Volume= lbh= 2250 cubic…

Q: Find the x coordinate of the inflection points on the graph of f(x) = 3x^6 −5x^4. Give your answer…

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Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS FOR BETTER UNDERSTANDING. f(x) 0 0 100…

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Q: Use the linearization of the function ƒ(x) = x²/³ at x = 8 to approximate 7.72/3 Enter your…

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Q: 1. Estimate the area under the graph of the function f(x)=36-x² between x = 0 and x = 6 using 3 left…

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Q: Suppose that f(x) is a function with f(85) = 76 and f'(85) = 1. Estimate f(84). %3D f(84) =

A: f(85) = 76 f'(85) = 1 f(84)  = ?

Q: 1) Use Bisection to find a root of the function f(x) = ln x-2 on the interval [7,8] to within 1…

A: Here we go with the bisection method as follows

Q: Answer the following about the function f (x) = (1/3)x^3 − (1/2)x^2 −2x + 1 a. Find all critical…

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Q: If f(3) = 5 and f'(x) ≥ 3 for 3 ≤ x ≤ 6, how small can f(6) possibly be? f(6) ≥

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Q: Find the work needed to pump all the water to a level 2 m above the rin The specific weight of water…

A: Lets assume a slab of water at a distance 'x' from the top and  be the slab thickness.Water is…