In what ways do the ideas thoreau presents in paragraph 6 become the foundations for the beliefs he expresses in paragraph 7? for instance, how do the ideas explained in paragraph 6 lead to his exhortation, if the engine whistles, let it whistle till it is hoarse for its pains?

Thoreau appeared to both a pacifist and a rebel in this passage. He says in paragraph 7 to go at one's pace and to not answer the call of society just because one feels obligated. He is saying that we should not fret over something just because it is present and others fret over it. He sets this up in paragraph 6 by saying if man would just stop for a second and consider what is permanent and not fleeting (the temporary pain, problem), then he would find all that is important are things of great important and permanence. So he says to the whistle that it can just continue to, well, whistle. He realizes the great truth that he cannot control what others do, or what things cry for attention, but he can certainly control whether or not let reacts to it.

based on the biblical principle philippians 4: 13 "i can do everything through christ who strengthens me." i agree that it is through him that we are given the strength to cope with every situation.

and based on the biblical principle proverbs 16: 32 "better to get angry slowly than to be a hero. better to be even-tempered than to capture a city."   i agree with the author of the passage to the extent that the nobility of heart demonstrates the strength of a person. those who are contemptuous, get angry easily and show their anger toward others are really weak, but those who are noble and make sure to not hurt other people and their feelings are strong people.

hope this answer you, have a great day!