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.
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
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.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
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.
Not the answer you are looking for? Search for more explanations.
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
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:
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