Business Driven Information Systems
Business Driven Information Systems
6th Edition
ISBN: 9781260004717
Author: Paige Baltzan
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 4, Problem 3CCT
To determine

To discuss:

Use of authorization and authentication technologies to prevent information theft in a business.

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Example Solve the octic polynomial 2x⁸-9x⁷+20x⁶-33x⁵+46x⁴-66x³+80x²-72x+32=0 Solution Divide by x⁴ 2x⁴-9x³+20x²-33x+46-66/x + 80/x² - 72/x³ + 32/x⁴=0 Combine and bring terms 2(x⁴+16/x⁴) - 9(x³+8/x³) +20(x²+4/x²)-33(x+2/x) + 46= 0 Let use substitution Let x+2/x =u (x+2/x)²= u² x²+2x*2/x + 4/x² = u² x²+4/x²= u²-4 (x+2/x)³= x³+8/x³+3x*2/x(x+2/x) u³= x³+8/x²+6u x³+8/x³= u³-6u (x²+4/x²)²= x⁴+2x²*4/x² + 16/x⁴ (u²-4)²= x⁴+16/x⁴ + 8 x⁴+16/x⁴ = (u²-4)²-8 x⁴+16/x⁴ = u⁴-8u²+8 2(u⁴-8u²+8)-9(u³-6u)+20(u²-4)-33u+46=0 Expand and simplify 2u⁴-9u³+4u²+21u-18=0 After checking (u-1)(u-2) Are factors Then 2u²-3u-9=0 u=3, u=-3/2 Assignment question Solve the octic polynomial 2s⁸+s⁷+2s⁶-31s⁴-16s³-32s²-160=0 using the above example question, please explain in detail
please explain each method used, thank you
b) Another waveform g(t) is defined by =0 t≥0, α>0 otherwise g(t)= At exp(-at) and is plotted in Figure 1 (for representative values of 4 = 1 and α = 1). g(t) 0.4T 0.3+ 0.2 0.1+ 2 0 2 Figure 1 8 c) Show that its amplitude spectrum is |G(@)| = - A (a²+0²)² Describe briefly, with the aid of labelled sketches, how changing a affects the waveform in both the time and frequency domains. d) Deduce the Fourier transform H(@) of h(t) = g(t)+g(t+b)+g(t-b) and calculate its DC amplitude H(0).
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