APPM 1340 Final: appm1340fall2015examfinal_0
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Instructions: books, notes, and electronic devices are not permitted. Write neatly, top to bottom, left to right, one problem per page. A correct answer with incorrect or no supporting work may receive no credit. The squeeze theorem can be used to nd the lim g(x) for what values of a and k? x a. : x > 0: (22 points; 6,6,10) (a) find the linearization of sec( ) at = . (b) use the linearization to estimate the value of sec(cid:18) 9 . 10(cid:19). (c) the radius of a sphere was measured and found to be 10 cm with a possible error in measurement of at most 0. 02 cm. Using di erentials, nd the maximum error in using this value of the radius to compute the volume of the sphere and report your solution as a percentage error: (14 points) consider the function g(x) = x. 3 + x on the interval [ 1, 0].
