1 (a) For arbitrary real s find the exact solution of the initial value problem with y(0)s>0. (b) Show that the solution blows up when t log(1 +1/s2).
(1 [xii) Ic: aix has two distinct real eigenvalues if and only if k >
) Show that L {(*) . n > 0 } { є, О. (0), , } is not regular. In other words, DFAs cannot recognize valid arithmetic expressions with parentheses.
For the Weibull distribution with parameters a and \, recall that for t > 0 the density function and distribution function are, respectively, f(t) = alºja-1e-(At)a F(t) =1-e-(At)a Suppose that T has the Weibull distribution with parameters a = 1/2 and 1 = 9. an (4 points) Compute work. approximation of P(1 < T < 1.01 T > 1) using the hazard rate. Show y
If correct i will thumbs up. Show all steps please
3) 900n ww USE THE MESH /23v 1.2K 720 s2 CURRENT MIE1>0 SHow woRK No
Problem 3: Conditional Probabilities Let A and B be events. Show that P(An B | B) = P(A | B), assuming P(B) > 0.
Please draw curved arrows to show electron flow.
Meo,C 1. RuO. AcOH 0 2. CH2-N 0 IN Alkene cleavage] [CarboxAcid -> CarboxEster] Me Me Carb
2. Show that for > 0, we have x4 + IV
Please prove this, thanks!
2. Let {xn n21 be a sequence in R such that all n > 0. If ( lim supra) . (lim supー) = 1 Tn (here we already assume both factors are finite), prove that converges.
Show mechanism of the following transformation 1. MeMgBr ОMe OH Y LOH OMe 2. HqO+ >