consider a closed rectangular box with a square base, whose edges have length x. If x is measured with error at most 2% and the height y is measured with error at most 3%, use a differential to estimate the corresponding %error in computing the box's surface area.

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

consider a closed rectangular box with a square base, whose edges have length x. If x is measured with error at most 2% and the height y is measured with error at most 3%, use a differential to estimate the corresponding %error in computing the box's surface area.

Mathematics
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

how much of an estimate can we make? I used x+dx, y+dy and found a term for the error, but it doesnt exactly come out nice.
the answer should be +/- 5%
ok I got about 4%

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

here is my attempt, given: dx/x=2%, dy/y=3%, and i am looking for ds/s
using partial derivatives, ds=(4x+4y)dx+(4x)dy
ds/s=(4x+4y)dx+(4x)dy /(2x^2+4xy), and then i am stuck.. i was able to get dx/x but not dy/y
k give me a sec to think about this
Thanks so much!!!!
k it turns out the same way as the way I did it actually: multiply the first part of the numerator by x/x and the second part by y/y then you have ((4x^2+4xy)dx/x+4xy(dy/y)) we know dx/x=.02, dy/y=.03 pluging in (.08x^2+.08xy+.12xy)/(2x^2+4xy) =(.08x^2+.2xy)/(2x^2+4xy) now here is why I asked how big of an estimate we can make, we round .08 to .1 so that it comes out nicely: .1(x^2+2xy)/(2(x^2+2xy))=.1/2=.05 5%
AWESOME! i got stuck because i didn't round it off.......
yeah it's not nice, but they just want an estimate so I geuss it is ok
Thank you very much :)
you're welcome :)

Not the answer you are looking for?

Search for more explanations.

Ask your own question