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@ HW6_X @ Phys1 X 3 3.2_di x 3 3.1_di x| Lec16 x 3 Lec18 x 3 Lec17 x W gv.cal x sy derive X

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@ HW6_X @ Phys1 X 3 3.2_di x 3 3.1_di x| Lec16 x 3 Lec18 x 3 Lec17 x W gv.cal x sy derive X G math X Demc X G MGTS X Home X + X C eclass.srv.ualberta.ca/pluginfile.php/8851423/mod_resource/content/1/HW6_2022.pdf Q E HW6_2022.pdf 1 / 2 | 231% + 1 d T Ind tile TIrealIzationI OI J at a - U. use tilis to approximate J (U.02). (b) Using induction, prove that g() (x) = (inn! 1 . Use this result to find the Taylor polynomial Tn(x) of g(x) about the point a = 1. Approximate g(1.02) using the third degree Taylor polynomial T3(x). (3) [6 + 6 = 12 pts] The edge of a cube was measured to be 11cm with a possible error of 1cm. Use differentials to estimate the abolsute and relative error in computing (a) the volume of the cube; (b) the surface area of the cube. (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 ENG Mostly cloudy O CA 11:07 PM 2022-10-22

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