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November 23rd, 2009, 01:43 PM   #1
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Word Problem

Suppose we would like to calculate ^3sqrt30 [cubed root of 30] + sqrt10 but our calculator is broken. Use differentials to approximate the value of ^2sqrt30 and sqrt10. Using these approximations, estimate the value of ^3sqrt30 + sqrt10. Suppose now that the value of ^3sqrt30 + sqrt10 is the side length in meters of a large square. Therefore the area of the square is A=(^3sqrt30+sqrt10)^2 m^2. If our calculation of ^3sqrt30 + sqrt10 had a maximum error of 0.01 meters, use differentials to calculate the maximum error in our area calculation.

OK I seriously have no idea. I can differentiate fine its just these application questions ( which I realize are kind of the whole point of learning calculus ) that throw me off. Can anyone point me in the right direction?
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November 23rd, 2009, 02:55 PM   #2
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Re: Word Problem

Do you know about linear approximation? That would really help.
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