(1-5) - gn these Stutturonduline the most acdc-Hydugens ? a) 3n the Shuchur s SZ,D and-,...
5. (4pts each)Evaluate the following integrals. s sins (1) cos (1) dx a. dx b. sz * (ln(x))?
1 (a) Evaluate the integral sz? dx. (32-7) 5 2 7 (b)if s f(x)dx = 3 and 5 f(x)dt = 4, find S f(x)dr. 5
5) Test the series for convergence or divergence. n a) In 3n +1 n= b) cos(3n) 1+ (1.2)" n=1
for spin 1 particle ,construct Sx,Sy,Sz and S^2 matrix
Need help with parts A-D 26) Consider tha gn by A) wheut is the systan tuee_ 8) Find the transfe functons 5亿 て E LS) T(S): Yls) E(S): 트22) and TECs) Delei mi the steady stak aeve unit input r(t)ะ ult) is appled D) DetrmiL the sensu S ) ot the 3TS) e Calculak
Question 24 of 36 > In the reaction, 2 NaN_(5) 2 Na(s) + 3N,(C) what mass of sodium azide, NaN,, would be required to produce 535 L of nitrogen. N,, measured at STP? mass
2) Prove that 1 + 3n < 4n for all n > 1. /5 Marks/
7. Hint for c and d: given P(X S x) a percentage, we have P(Z Sz)the percentage. Then find the corresponding value for Z, and use the Inverse Transformation Let X be normally distributed with mean 120 and standard deviation σ 20. a. Find P(X3 86). b. Find P(80 <X3100). c. Find x such that P(Xx) 0.40. d. Find x such that P(X> x) 0.90.
We can now use the Standard Normal Distribution Table to find the probability P(-0.25 sz s 1). 0.05 0.06 0.07 0.08 0.09 -0.2 0.4013 0.3974 0.3936 0.3897 0.3859 0.00 0.01 0.02 0.03 0.04 Using these 1.0 0.8413 0.8438 0.8461 0.8485 0.8531 The table entry for z = -0.25 is 0.00 and the table entry for z = 1 is values to calculate the probability gives the following result. PC-0.25 sz s 1) P(Z < 1) - P(Z 5 -0.25) 10....
S(t)gn()1-4e-2l # l)? Your answer should be expressed as a function of w using the correct syntax What is the Fourier transform of: Fourier transform is F(w) = Skipped S(t)gn()1-4e-2l # l)? Your answer should be expressed as a function of w using the correct syntax What is the Fourier transform of: Fourier transform is F(w) = Skipped