@ HW6_X @ Phys1 X

@ HW6 x @ Physi x I 3.2 di x I 3.1 di x I Lecle x I x I Lec17 x I C eclass.srv.ualberta.ca/pluginfile.php/8851423/mod_resource/content/1/HW6 2022.pdf gv.ca' X I deriv X 201% + Dem S MGT- HW6_2022.pdf (2) (3) Mostly cloudy 1/2 (a) At what rate is the depth of the water changing when the depth of the remaining water is 1.5m deep? (b) At what rate is the width at the surface of the water changing when the remaining depth is 1.5m? Hint: You do not need to repeat the process in part (a). 1 1 [6 + 12 = 18 pts] Let f (x) and g@) (a) Find the linearization of f at a = 0. Use this to approximate f (0.02). (1) nn! (b) Using induction, prove that polynomial Tn (x) of g(x) about the point a third degree Taylor polynomial T3(x). . Use this result to find the Taylor 1. Approximate g(1.02) using the 12 pts] The edge of a cube was measured to be 1 lcm with a possible error of 12 ENG 11:06 PM 2022-10-22 US