Please Help!!!
Please Help!!! Exercise 13.7 (a) Show that Eq. (13.90) is the sum of Eqs. (13.85) and (13.87) E, (x, 2) 2E jcos0;sin(B,...
plz show all steps and do both a and b Exercise 13.7 (a) Show that Eq. (13.90) is the sum of Eqs. (13.85) and (13.87) E1 (x, z)=-2E jcos0;sin(B1zcos0) + 2 sin0,cos(Bjzcos0)]eisin [V/m] (13.90) V/m Ef(x, 2) = Ei(xcos0 - isin 0)eb(2sin6; +zcos@) (13.85) Er-Ncos0;- isin0)e~ib1(xsin®, -zcos0) E,(x, z [V/m] (13.87) Exercise 13.7 (a) Show that Eq. (13.90) is the sum of Eqs. (13.85) and (13.87), and Eq. (13.91) is the sum of Eqs. (13.86) and (13.88) (b) Calculate the...
Problem 25 please -Sesin(2x)-9ecos(2x). 21. W = Span(B), where Br(x2e-4x , xe®, e-4x); f(x)--5x2r" + 2e-4-1e 22. W= Span(B),where B= ({x25, x5*, 5x)); f(x)--4x2 5x+9s5x-2(5x). 3 W Span(B), where B (Exsin(2x), xcos(2x), sin(2x), cos(2x)y): f(x) = 4x sin(2x) + 9x cos(20-5 sin(2x) + 8 cos(2x). 24, In Exercise 21 of Section 3.6, we constructed the matrix [D, of the derivative operator D on W- Span(B), where B e sin(bx), e" cos(bx)): Dls a a. Find [D 1g and [D'lg: Observe...
Question 8 please 5. We start with Schrodinger's Equation in 2(x,t) = H¥(x,t). We can write the time derivative as 2.4(x, t) = V(x,+) - (xt), where At is a sufficiently small increment of time. Plug the algebraic form of the derivative into Schrodinger's Eq. and solve for '(x,t+At). b. Put your answer in the form (x,t+At) = T '(x,t). c. What physically does the operator T do to the function '(x,t)? d. Deduce an expression for '(x,t+24t), in terms...
13. Integrate: a. j«x+278)dx 0 b. (dx х c. dx 9+ x d . xdx? +2 dx 2x+1 хр '(x’+x+3) f. I sin (2x) dx g. cos (3x) dx h. ſ(cos(2x)+ + secº (x))dx i. [V2x+1 dx j. S x(x² + 1) dx k. | xe m. [sec? (10x) dx 16 n. .si dx 1+x 0. 16x 1 + x dx 5 P. STA dx 9. [sec xV1 + tan x dx 14. Given f(x)=5e* - 4 and f(0) =...