2025t2_s05

# 2025t2_s05 - MATH 2025 Test 2 Name K Please ShOW all work!...

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Unformatted text preview: MATH 2025 Test 2 Name K Please ShOW all work! Waﬁk 3 Mamﬂk" 3Q; 2-9 05” (Please print) 1. Find an‘oquaﬁioh of 1:32.63 plane'passing through ﬁhe orig-jig}. and spanned by the Vectors (1,2,0) and (~1,2,3). ma w} \$9 a?“ K ZEEWQ Xv? ﬁx :7: m m f WE: 12pts [EX W%§ éﬂ‘ﬁiﬁ mg '25-. Show that the vectors (1, —1,1), (1,1,0), (1, —1,—2) form an orthogonal basis for R3 and then determine the COﬂStantS a, b, c 6 R such that (aw-4,3)=ra(1«,41}1)+bu,1,0).M9‘c(1,'w1,m2) {WM} {JANE :r M ~%°“€~“'~“%Q}~§ ~§» W 2: {:3 UNJE} a (sfing :7 é°€,_~€i.€«i§€~§}% swmﬁ mg) 3"! i ._ _ x .‘a # n g .9 x a WW} ~ magma; 3“- M Hag-z) eé mm; m; 0; m, gaugwmwwg 5g MWEMEEQ“ EQ+MBMW .3 1310135 I @972: Efﬁgaihﬁjgm mfgeMWﬂmgmggm WELW m ME iigmgagggm iMiMmm 53° W WW C3. omwwm m gwiwmiﬁ}{“§§%§{*an§ 2 3. Check that \$118 polynomials 21; «- 1 and 6:132 # 6m + 1 are orthogonal in PC[0, 1]. {,2wa émgwg x gogzxmmgwéﬂg X m Q M v: é» gm w ‘ m D o .. a -—mmm.,__..._m TE“;sz otherwise ‘ 4. Verify through algebra that (pmﬂuﬁr) i‘f‘ a E “ms/61:.H { : \$0[0,1E(%);Where gamma 2 {0 3 5. Plot and write a, formuia for the step function {1' corresponding to the sampie in the following table W... W... WWMMW.”MNW~ n—W>~~“ W mm Wnr-uyn.._ww..m__.wu._.....wrw— 6. Calcuiate the Haar Wavelet Transform for the data S = (3,1,9,7,7,9,5,7). “BM Wis-“ii “2?”? gay“? 32% W W W \$ M a m m\ f 3m} 3,” «‘2 a”) 2% a} Ewgﬁij?§€%§§wﬁtj :2. {ngg ﬁg; ijﬁﬁmgjmg) M? ‘ 3% 5W? 3% g 2»? gamma m m {3”}? E-ﬁﬁgigbgzﬂ 12pt5 3:7" g” u? as m a m m) 53W? i w; J E5} U f} g} 5»; g MM 4 7. Assume that the Ham" Wavelet Transform of a sample 5 2 (so, 31) produces the results; ' aélwl) : 6 and 0314") x —3. (a) Explain haw {1814) m 6 relates to the sampie (30131); Uri} gnaw aw. :3 5 2d 8 pts Wwﬂumw W __ ‘ (b) Expia'm how 05-314) 3 m3 relates to the sample (39, .91); ff" 3) gg mg; m a... WWW 2m, 8 pts WM” W.WWHWMWW (c) Find 50 and 31. -- E. .2 9 pts ...
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## This note was uploaded on 11/23/2011 for the course MATH 2025 taught by Professor Staff during the Spring '08 term at LSU.

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2025t2_s05 - MATH 2025 Test 2 Name K Please ShOW all work!...

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