PDF-SimplifytheintegrandtogetI=Z0(2cos+1)2ieid=Z04ieicos+2ieid:Th
Author : ellena-manuel | Published Date : 2017-03-02
dtordz dOnceyouhavedonethisyoucansimplifyandintegrateasnormalFormoreinformationonparameterisationofcurvesrefertothelecturenotes
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SimplifytheintegrandtogetI=Z0(2cos+1)2ieid=Z04ieicos+2ieid:Th: Transcript
dtordz dOnceyouhavedonethisyoucansimplifyandintegrateasnormalFormoreinformationonparameterisationofcurvesrefertothelecturenotes. cos eV RF RF RF RF RF RF RF RF RF RF eV eV cos cos cos cos RF RF RF RF RF eV eV eV RF RF RF RF RF RF RF eV eV cos cos cos 66 65 RF RF RF RF RF eV eV cos sin 66 65 5666 566 56 56 566 56 66 65 66 brPage 1br DERIVATIVE RULES nx dx sin cos dx cos sin dx ln aa dx tan sec dx cot csc dx xgxfxgxgxfx dx cc sec sec tan dx csc csc cot xx dx dfxgxfxfxgx dxgx 1 Fig 92 brPage 6br Version 2 ECE IIT Kharagpur cos cos Fig93pgm k 12 otherwise truncated is if brPage 7br Version 2 ECE IIT Kharagpur 1 1 1 1 1 0 0 0 1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Thecharactercontributionsare:E 3 C2 1 C3 0 C4 1 C5 1+p 5 2 C6 2 1 i 3 S3 2 S4 1 S6 0 Cn 1+2cos(2 n) Sn 1+2cos(2 n)Then redbecomes 0red=h21;0; 1;3; 3; 3; 1;0;5;3iRepeatingthedotproduct(andnorm Theabovecalculationalsoallowsustoobtain~J2,~J2=J2z+1 2(J+J +J J+)=(jhcos)2+1 2q jh(1+cos)(jh(1 cos)+h)q jh(1+cos) q jh(1 cos)(jh(1+cos)+h)q jh(1 cos)=j(j+1)h2:(25)3.3WaveFunctionsWe MCS320IntroductiontoSymbolicComputationSpring2007 [diff(cos(t),t);#differentiationoftheformulacos(t) [diff(cos,t);#wrong! [D(cos(t));#alsowrong [D(cos);#differentiationofthecosinefunctionThefollowingi 20.sin(+)=sincos+sincos21.sin( )=sincos sincos22.cos(+)=coscos sincos23.cos( )=coscos+sincos24.tan(+)=tan+tan 1 tantan25.tan( )=tan tan 1+tantanDoubleAngl 2Z20p f0()2+f()2d=Z20p ( sin())2+(1+cos)2d=Z20p 2(1+cos)d=Z20p 4cos2(=2)d...hereweused1+cos 2=cos2(=2)=2Z20cos(=2)d()=4sin(=2)j20=0Nowweneedtoaskourselves\Whathavewedonewrong?"be (dx0)2+(dy0)2=Z0d0q (1 cos0)2+sin20=21 2Z0d0p 1 cos0= 23 2hp 1+cos0i0=4241 s 1+cos 235:Thetotallengthofthependulumis`,thepartthatisstillstraightattimethaslength` ,andsothecoordinatesoft By the end of today, you should be able to:. Graph the sine and cosine functions. Find the amplitude, period, and frequency of a function. Model Periodic behavior with sinusoids. Unit Circle. The Sine Function: y = . About the COS-TC Toolkit. Digging in to the content. Applying understanding: Video clips and discussion. Online . version. Additional resources: Facilitator’s guide. . and the . Herman family scenario. Module. Session 8:. . The Exit COS . Rating. What Happens at the. . Exit COS?. 2. At the . exit . COS, there are two parts to the discussion:. 1. 2. Development follows a predictable course.. Development can be measured and plotted. . Module. Session 8:. . The Exit COS . Rating. What Happens at the. . Exit COS?. 2. At the . exit . COS, there are two parts to the discussion:. 1. 2. Development follows a predictable course.. Development can be measured and plotted. . Fourier transform of x(t) = 3sinc. 2. (4t-2)cos(2. p. 30t). Find the energy of x(t). Solution. FT of sinc. 2. (t) = . L. (f) (duality). Let z(t) = sinc. 2. (t-2), Z(f) = . L. (f)e. -j4. p. f. .. Let y(t) = z(4t) = sinc.
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