Answered: Show that exp(-i0X/2) where X is the… | bartleby

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Show that
exp(-i0X/2)
where X is the Pauli X-matrix.
- (2) 1-i sin (2) x
I
X,
= COS

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The first screenshot displays the question, and the second screenshot displays the section of the book that's relevant to the problem. So far, there have been two incorrect answers given: a.) 2.82 x e^-(1.51 x 10^12), and b.) (1.60*10^-19)^-(2.04*10^11) If someone can solve this problem, it would be deeply appreciated!
Needs Complete solution with 100 % accuracy. Otherwise skip if u can't give answer both of them. Thank you.
Q.) Solve a ,b and c
Show that
Find the first and second derivatives of the function. y = e²xsin(5x) y' مسلم = y" =
Let n 1 be an integer, let to to is given by a stationary path of the Lagrangian functional C: L[x] = 1 dt L(t,x,x), x(0) =x0, x(t)=X1, where LT - V and T is the total kinetic energy T = n 1 k=1 2 mark. Using the above first-integral, show that, if V is independent of t, the total energy E=T+V of the particle is a constant of the motion.