Mathematics - 5 December 2007

A very tall office building has 4 elevators and 60 floors. Each elevator travels upward at an average rate of 18 feet per second. There are 12 feet between floors in this building. Suppose you get on the elevator on the first floor and travel straight to the fifty-sixth floor without stopping. To the nearest second, how long will it take to travel from the first floor to the fifty-sixth floor on this elevator?

2007-12-05 01:08:39 · 12 answers · asked by Anonymous

Earlier I asked for a valid proof for
sinh x = [ e^x − e^−x ] ⁄ 2
cosh x = [ e^x + e^−x ] ⁄ 2

I was told, simply, that these are defined as such... that it has to do with the hyperbolic functions being "analogous" to the normal trigonometric functions.

I accept this as truth now. But can someone explain it to me? Demonstrate this "analogy". I am still looking for some sort of proof to this analogy or this relationship.

How does the mere definition of the hyperbolic sine function, as the opposite (y-coordinate) on the unit hyperbola, and the definition of sine, allow us to extrapolate this relationship? Exactly how do we go from sin x = [ e^(ix) − e^(−ix) ] ⁄ 2i to sinh x = [ e^x − e^−x ] ⁄ 2

2007-12-05 01:00:38 · 5 answers · asked by Anonymous

simplify eachside of the equation

2007-12-05 00:50:11 · 8 answers · asked by Anonymous

2007-12-05 00:44:49 · 5 answers · asked by Anonymous

2007-12-05 00:19:29 · 6 answers · asked by Titanic lover 2

{x / 3+ y / 6 = 1

{x / 2 - y / 4 = 0

a. (3, 3 / 2)
b. (3 / 2, 3)
c. infinite number of solutions
d. no solution

2007-12-05 00:03:38 · 4 answers · asked by . 1