First we define the wave as the real part of E(x,t)=(6×104)ei(0.5×107x−1.5×1015t)k 1) write the equation for the real part of Ez 2) determine the speed at which the wave propagates 3) determine the equation for the traveling wave (real part of Ez) if the wave has a wavelength twice as long as the one that you have been plotting. Make sure that your equation still corresponds to a wave propagating at the speed of light in a vacuum! (Hint: it...
a set function, λ on S by λ((a, b) F(b)--F(a) and λ(0) 1. Show that if Eİ, E2 E S then Ei n E2 ES and Ei ~ E2 is a finite disjoint union of 0. sets in S 2. Show that the o-algebra generated by S is the Borel o-algebra on R. 3. Show that if E and Ea are disjoint sets in S and A U S, then (A) A(E)+A(B2). 4, Show that if E. .. ova natn...
Q4: 3 marks each part Answer 2 parts from the following (a) Find the real and imaginary parts of each side of 1+a ei + az ezi® + ... = (1 - a el®)-1 (b) 2 Show that sin z cosh 2y-cos 2x (C) 1 Find the residues of at all its poles. e2z-ez
find errors.
2. Bx) Kxxx T3. (Ex) Kxxx EI, 2 UI, 1 EI, 4 EI, 5 UG, 6 UI, 7 UG, 8 UI, 9 4. (39(3)(Haay כ13 ) 6. Haay כ İyy 7. (x)(Haax 1xx) 8. Haau= luu 9. (u)(Haau luu) 10. Haaa 1aa
2. Bx) Kxxx T3. (Ex) Kxxx EI, 2 UI, 1 EI, 4 EI, 5 UG, 6 UI, 7 UG, 8 UI, 9 4. (39(3)(Haay כ13 ) 6. Haay כ İyy 7. (x)(Haax 1xx) 8. Haau= luu...
℉.PX: t Ei ' tti.2-. IT
℉.PX: t Ei ' tti.2-. IT
real analysis problem
1. sequence and series
2.
3. prove that
please show me detail (for beginner)
please don't use hand writing. please use typing
when. lima, –2. owe that lim (A -> ] when, lima, = 2, solve that lim (1-x) when f (x) = - n=in (a) show that given series are uniformly convergence in R (-00,00), (b) prove that f is uniformly continuous function in R (-00,00) prove with Taylor series (a) Σ = 6 (6) ΣΕΙ"...
1. Let Yi = A+ ßi i+ ei, i = 1, 2, , n, where E(e.)-0,Var(ei-o?, and the e's are independent. Derive the least squares estimators for ?° and ?? ,
Find Error 1. (x)(Ey)(Ez) (Haxy --> Izy) .......p 2. (Ex) Kxxx ........p 3. (Ex) Kxxx ..........EI, 2 4. (Ey) (Ez) (Haay --> Izy) ........UI, 1 5. (Ez) (Haaz --> Izy) .........EI, 4 6. Haay --> Iyy ..........EI, 5 7. (x) (Haax --> Ixx) .........UG, 6 8. Haau --> Iuu ........UI, 7 9. (u) (Haau --> Iuu) .......UG, 8 10. Haaa --> Iaa .......UI, 9
Please use moment of distribution
Structural analysis
3.The wood frame is subjected to the load of 6 kN. Determine the mo ments at the fixed joints A, B, and D. EI is constant pin 4m 4m
3.The wood frame is subjected to the load of 6 kN. Determine the mo ments at the fixed joints A, B, and D. EI is constant pin 4m 4m
real analysis questions
Find the interior of the following sets. (1): {1/n: neN}: (2): (0,5) (5, 7); (3): {re Q:0<r <2}. Classify each of the following sets as open, closed, or neither. (1): {: | - 51 < 1}; (2): {x: (x-3) > 1}; (3): {:13 -4)<4}.