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Get Full Access to Advanced Engineering Mathematics - 9 Edition - Chapter Chapter 24 - Problem 24.8
Get Full Access to Advanced Engineering Mathematics - 9 Edition - Chapter Chapter 24 - Problem 24.8

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# The breaking strength X [kg] of a certain type of plastic ISBN: 9780471488859 172

## Solution for problem 24.8 Chapter Chapter 24

Advanced Engineering Mathematics | 9th Edition

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Problem 24.8

The breaking strength X [kg] of a certain type of plastic block is normally distributed with a mean of 1250 kg and a standard deviation of 55 kg. What is the maximum load such that we can expect no more than 5% of the blocks to break?

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Calculus notes of 9/26/16 3.11 Related Rates Suppose a spherical weather balloon is filled with gas at a rate of 150 ft /min. What is the rate of change of its radius when the radius is 20 ft We are given / = 150: Volume increases by 150 ft /min. 3 dt dr We want / whedtr = 20 We need an equation relating V to r. 3 For a sphere, V = 4/3ᴨr dv 2 dr Different Rating time / = 4/3dt* 3r / (implicitdtifferentiation) 2 Or V’ = 4/3ᴨ * 3r r’ Solving for / , dt = dt(4ᴨr ) * /2 dvdt = 1/(4ᴨ * 20 ) * 150 = (3/32ᴨ) ft/min = 0.02984 ft/min Procedure: 1. Identify known rates and desired rates. Label what you alread

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