Compare truncation and round-off error. Compute the maximum relative error in u when x = y = z = 1, if u=4x2y3/z4 and errors in x, y, z be 0.001.

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Q: Use the linear approximation to f (x, y) = √x/y at (9, 4) to estimate √9.1/3.9.

A: f(x,y)=xy at (9,4) to estimate 9.13.9

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Q: Let y Ay - 5x² + 8x + 4. If Ax = 0.4 at x = 5, use linear approximation to estimate Ay I Submit…

A: We know that ∆y=f(x+∆x)-f(x). So,             ∆y=f(x+∆x)-f(x)      =f(5+0.4)-f(5)      =5·…

Q: 5. Deduce the standard linear approximation of 1 x2+y2+z2 at Po(1,2,3).

A: The general formula of the standard linear approximation for f(x,y,z) is generally given by,…

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A: The composite trapezoid rule: ∫abf(x)dx=h2f(a)+2∑i=1n-1fxi+f(b), where h=b-an,xi=a+ih,i=0,...,n The…

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Q: 5) Find the linear approximation to estimate V9.247. Compare this to the true value and determine if…

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Q: 8.xy² If u = and error in x, y, z be 0.001, compute the maximum absolute and relative z³ error, when…

A: Given equation be u=8xy2z3 error in x, y, z be 0.001 Now ∂u∂x=8y2z3, ∂u∂y=16xyz3, ∂u∂z=-24xy2z4  and…

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Q: V26.9

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Q: Find the normal line to f(x) = ax - 3ax at x=2. Assume that a is a positive constant. %3D

A: Given: f(x)=ax2-3ax & x=2 To determine: Equation of normal line to given f(x)

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Q: Q1. The coefficient of rigidity (n) of a wire of length (L) and uniform AL diameter (d) is given by…

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Q: Let y = 5x² + 4x + 4. If Ax = 0.3 at x = 4, use linear approximation to estimate Ay Ay ~ Submit…

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Q: Find the normal line to f(x) = ax 8ax at x= 9. Assume that a is a positive constant.

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Q: Use the linear approximation to ƒ(x, y) 12x² at (3, 9) to estimate f(3.1, 8.8). y2+7 (Use decimal…

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.