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3 years ago

I need help with this simplify problem

Mathematics

1 answer:

nasty-shy [4]3 years ago

7 0

Answer:

Step-by-step explanation:

Numerator = y/ab - ab

= y/ab - ab * ab/ab (LCM = ab)

= (y - a²b²)/ab

Denominator = 1/a - a/b

= 1*b/a*b - a*a/b*a (LCM = ab)

= (b-a²)/ab

(y/ab - ab ) / ( 1/a - 1/b) = (y - a²b²)/ab * ab/ (b-a²)

= (y - a²b²)/ (b-a²)

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The maximum error in the calculated surface area is 24.19cm² and the relative error is 0.0132.

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$\begin{aligned}\frac{dA}{A}&=\frac{8\pi rdr}{4\pi r^2}\\ \frac{dA}{A}&=\frac{2dr}{r}\end$

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Substitute this in the above

$\begin{aligned}\frac{dA}{A}&=\frac{\frac{2dC}{2\pi}}{\frac{C}{2\pi}}\\ &=\frac{2dC}{C}\\ &=\frac{2\times 0.5}{76}\\ &=0.0132\end$

Hence, the maximum error in the calculated surface area with the circumference of a sphere was measured to be 76 cm with a possible error of 0.5 cm is 24.19cm² and the relative error is 0.0132.

Learn about relative error from here brainly.com/question/13106593

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I need help with this simplify problem​

I need help with this simplify problem