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7. In a PARALLEL Circuit, with Source Voltage, Vs, Source Current, Is, that contains N Resistors, which of the following is true? a) There is 1 current and N Differential voltages = Source Voltage, Vs. b) There are N currents and 1 Differential Voltage = Source Voltage, Vs. c) There are (N+1) currents and 1 Differential Voltage = Source Voltage, Vs. d) There are (N-1) currents and 1 Differential Voltage = Source Voltage, Vs.
6. Let si = 4 and sn +1 (sn +-) for n > 0. Prove lim n→oo sn exists and find limn-oo Sn. (Hint: First use induction to show sn 2 2 and the.show (sn) is decreasing)
In the Circuit below find the phasor Vo of the output voltage vo-y when the input voltage us-f(t) Vs cos(ot) V. Plot 10log {lH(jo)l'3 function using the Bode Diagrams. Assume that all the Resistance units are in ΚΩ and all the Capacitance units are in μF. 0.25 0.4
In the Circuit below find the phasor Vo of the output voltage vo-y when the input voltage us-f(t) Vs cos(ot) V. Plot 10log {lH(jo)l'3 function using the Bode Diagrams. Assume that all...
3. Indicate the expected hybridization of the following steric numbers: SN 3 SN 6 SN =5 SN= 4 SN = 2 4. Construct the framework of the molecule acrylonitrile (H2CCHCN) and assign o and/or bond(s) to each bond placement. 5. According to Molecular Orbital Theory, when does the order of the p and op orbitals change from np, Op to op, p (give the two reasons relating to the atoms in the molecule)? 6. For the molecule He2: a. Construct...
3. Let(Sn, n > 0} be a symmetric Random Walk on Z. Defined To-inf(n-1 : Sn-0) the time of first passage to state 0, prove that PlT, = 2nlSo = 0] = 2n.plsøn = 이So = 0] for any n 2 1
3. Compute #primes sn 1 + 5 + for n=101 and n = 100001. Compare with exact number for each. Note: A better approximation is given by: #primes sn~ if 8 > 0, but not too large.
LETSn=(n+1)/n+(-1)^n*cos(n*pi/6)Find the set of sub-sequential limits of {Sn}infinity n=1
3. Let {Sn, n > 0} be a symmetric Random Walk on Z. Defined To inf(n > 1 : Sn-0} the time of first passage to state 0, prove that 2n - 1 for any n 2 1
6. Prove that for any graph G of order n an x(G) Sn + 1-a(G) α(G)
6. Prove that for any graph G of order n an x(G) Sn + 1-a(G) α(G)
15. If φ: Sn Sn is a group homomorphism, prove that φ(An) c An. (Hint: Use Lemma 4.7.) a 4.7. Let n 2 3. Every element of An can be written as the product of 3-cycles.
15. If φ: Sn Sn is a group homomorphism, prove that φ(An) c An. (Hint: Use Lemma 4.7.)
a 4.7. Let n 2 3. Every element of An can be written as the product of 3-cycles.