help witha word problem

[calculusclueless]

i have gotten this far on a problem and i don't know how to proceed:

a window has a shape of a square surmoiunted by a semicircle. the base of the window is measured as having a width of 60 cm with a possible error in measurement of .1 cm. Use differentials to estimate the maximum error possible in computing the area of te window.

i know the total area is A=.5pi*r^2 + (2r)^2
and the derivative of that is (1/2)*2pir+ 4r?

where do i go from here to estimate the maximum possible error? thank you.

 

[Deleted member 4993]

i have gotten this far on a problem and i don't know how to proceed:

a window has a shape of a square surmoiunted by a semicircle. the base of the window is measured as having a width of 60 cm with a possible error in measurement of .1 cm. Use differentials to estimate the maximum error possible in computing the area of te window.

i know the total area is A=.5pi*r^2 + (2r)^2
and the derivative of that is (1/2)*2pir+ 4r?

where do i go from here to estimate the maximum possible error? thank you.

Please consult your textbook - it should have worked out examples.

Rewriting the derivative:

dA = (? + 4) * r * dr

Now find value of 'dA' with the given values of r and dr.

Then continue....