EP CALCULUS:EARLY TRANS.-MYLABMATH 18 W
EP CALCULUS:EARLY TRANS.-MYLABMATH 18 W
3rd Edition
ISBN: 9780135962138
Author: Briggs
Publisher: PEARSON CO
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Chapter C, Problem 57E

Solving polynomial equations Find all roots of the following equations.

57. x2 + 2x + 2 = 0

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EXAMPLE 3 Find S X √√2-2x2 dx. SOLUTION Let u = 2 - 2x². Then du = Χ dx = 2- 2x² = 信 du dx, so x dx = du and u-1/2 du (2√u) + C + C (in terms of x).
Let g(z) = z-i z+i' (a) Evaluate g(i) and g(1). (b) Evaluate the limits lim g(z), and lim g(z). 2-12 (c) Find the image of the real axis under g. (d) Find the image of the upper half plane {z: Iz > 0} under the function g.
k (i) Evaluate k=7 k=0 [Hint: geometric series + De Moivre] (ii) Find an upper bound for the expression 1 +2x+2 where z lies on the circle || z|| = R with R > 10. [Hint: Use Cauchy-Schwarz]

Chapter C Solutions

EP CALCULUS:EARLY TRANS.-MYLABMATH 18 W

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