Since school is almost all I have time for these days, I thought I'd bring it to my blog now and then.
In calculus we are doing sequences, L'Hopital's rule, and improper integrals. Pretty straight forward.
Pop quiz:
1. Is 0^0 zero or one? Or neither?
2. Limit as x approaches 1 of x^[1/(x-1)] = ?
3. The third term of an arithmetic sequence is 5 and the seventh is 19. What is the first term?
4. This is a fun problem. Brownie-points to anyone who gets it right:
A rocket, starting from rest, travels straight up with an acceleration of 58.0 m/s^2. When the rocket is at a height of 562 m, it produces sound that eventually reaches a ground-based monitoring station directly below. The sound is emitted uniformly in all directions. The monitoring station measures a sound intensity I. Later, the station measures an intensity 1/3I. Assuming that the speed of sound is 343 m/s, find the time that has elapsed between the two measurements.
2/22/10
Problems
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2 comments:
We're just starting that chapter; we already skipped ahead and did all of sequences and series though.
1) It's one of the seven indefinite equations. So neither.
2) e
3) -2
I'll get #4 later when I have some time.
You got #1 and #3 right, but I'm pretty sure #2 is 1/e, unless I made a bad mistake somewhere. Very close though.
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