Answered: The dimensions of a closed rectangular…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter65: Achievement Review—section Six

Section: Chapter Questions

Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...

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The dimensions of a closed rectangular box are measured as 74 cm, 51 cm, and 50 cm, respectively, with a possible error of 0.2 cm in each dimension. Use differentials to estimate the maximum error in calculating the surface area of the box. (Round your answer to one decimal place.)

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For a function $y = f (x)$ , $\partial y, \partial x, d y$ and $d x$ represents partial derivative of y and x and then differential of y and x.

$\lim_{\partial x \to 0} \frac{\partial y}{\partial x} = \frac{d y}{d x}$

when change in x is very small partial derivative of y with respect to x is same as differentiation of y with respect to x.

$\partial y = \frac{d y}{d x} \partial x$

$\partial x$ is known as error in x.

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