@ HW6_2 x @ Phys13 X 3 3.2_diff x 3 3.1_diff x Lec16( X| Lec18 ( X | Lec17 ( X W gv.calc x sy derivati x G math fc x| Demor X G G MGTSC X + X C eclass.srv.ualberta.ca/pluginfile.php/8851423/mod_resource/content/1/HW6_2022.pdf E HW6_2022.pdf 2 / 2 124% + (4) [6 + 6 = 12 pts] Suppose that you are in charge of creating fancy hand made circular table cloths with a radius of 5m. Due to manufacturing limitations, there is an expected error in measurement of the radius of the cloth. Use differentials to answer the following questions. (a) What error in radius is acceptable if the area of the tablecloth is to have a relative error less than 10-3? (b) Suppose you have two cloth options: silk or cotton. The silk costs 50 dollars per square metre, while the cotton costs 4 dollars per square metre. If the expected measurement error in the radius is 0.Im for silk and Im for cotton, what is the better choice in cloth if you want to minimize losses due to measurement error? Explain your answer. ENG Mostly cloudy CA 11:02 PM US 2022-10-22