A.) prove that the anti-commutator of any two operators, {a, b} = ab+ ba , is hermitian if the operators are hermitian.
b.) prove that the commutator of any two hermitian operators is anti-hermitian ( anti-hermitian satisfies if \hat{c} = - \hat{c}^\dagger , and hermitian satisfies if \hat{c} = \hat{c}^\dagger ).

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min

i dont have a visual in front of me, but i can you reason to try to get the right one. the graph should look like this, 0 to 6 there is a spike, 12 to 14 there should be a very low point. slight increase in the graph at 12 to 14, and flat 14 to 18

explanation: