MATH 3B Midterm: Math 3B Exam 4

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7 Mar 2019
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Try to answer the following questions without the use of book, notes or calculator. Time yourself and try to nish the test in less than 50 minutes: find z e. 0 ln x dx. (hint: l"hospital"s rule might be useful. : (a) find z (b) find z dx. 1 e2x e2x by substituting u = ex. by substituting u = e2x. 1: the function f (x) has. 4 x2 as its degree 2 taylor polynomial around x = 0. 6 , the degree 2 taylor polynomial for g(x) around x = 0. arctan(1) = . 4 and arctan( 3) = (hint: arctan ( 1. 3 . : now, the star-belly sneetches had bellies with stars. Sylvester kept track of the percentage of sneetches with stars (q) and noticed with time (t) in months that dq dt. His business was quick, he did not want to delay, and so he recalled on his very rst day that q = 1.