Contemporary Mathematics for Business and Consumers
Contemporary Mathematics for Business and Consumers
7th Edition
ISBN: 9781285189758
Author: Robert Brechner, George Bergeman
Publisher: Cengage Learning
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Chapter 4, Problem 4AT

Simon Fitzrowdy checked his checking account online on Tuesday morning, and it showed a balance of $1,472.38. During a morning shopping trip, he used his debit card to buy gasoline for $48.92. groceries for $77.10, and a shirt for $34.98. He used his smartphone and his mobile-banking app to deposit a check for $150. What will his balance be the next morning?

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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]

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Contemporary Mathematics for Business and Consumers

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