
Worksheet 15: Implicit & Logarithmic Di erentiation Russell Buehler b.r@berkeley.edu www.xkcd.com 1. If you havent already, nd the following derivatives:

Vol. 56, No. 21 October 15, 2004 (Continued on page 3) Managed by Lockheed Martin for the National Nuclear Security Administration

Section 9.4: Approximation of Denite Integrals Review of Riemann Sums If a < b, f(x) is a function on [a,b], and a = x 0 a 0 x 1 a 1 a

XV.1 CHAPTER XV EUROCURRENCY FUTURES AND OPTIONS In Chapter XII, we were introduced to the Euromarkets. In that chapter, we briefly

454 CHAPTER 7 ADDITIONAL INTEGRATION TOPICS 4. A = 0.5 1! [ln x]dx + 1 e! ln xdx We evaluate the integral using integrationbyparts. Let u = ln x, dv = dx.
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38. Determine whether the series X n=1 ln n n+1 is convergent or divergent by expressing s n as a telescoping sum. If it is convergent, nd its sum.
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2 SOLUTIONS TO PRACTICE EXAM 3 (d) X1 n=1 7 5 6 n converges since it is a geometric series with jrj = 5 6 < 1. (e) X1 n=1 n n+1 1 2 n converges by ...

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ln k R . ln k = E + ln A. a. RT . y = mx + b . 1 . K1 T Rate constants vary _____ with inverse temperature A and E a depend on the reaction being studied.

A Brief History Of Computing ... 15105 Principles of Computation, Carnegie Mellon University 21 onsidered the father of modern computer science.

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Strategy for Testing Series: Solutions 1. Since ... 15. Applying the ratio ... = lim n n+1 nln(n+1) lnn ln(n+1) n. Since lnx is a strictly increasing ...

Building and Using a Knowledge Graph to ... Building and Using a Knowledge Graph to Combat Human Tra ... over 15 organizations funded to develop \domainspeci c ...
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CMU SCS Carnegie Mellon Univ. Dept. of Computer Science 15415  Database Applications Crash Recovery  part 2 (R&G, ch. 18)