Although I think this is purposeful since the actual question wanted to prove integrability of f. Changing the quantifier to a for all in the Lipschitz definition I guess is just another way to say that a function is constant.
Nevermind, this is correct but the question I had before is not...
The definition
Let a, b be any two real numbers
Let c > 0
We define a function f to be funny iff
For all x, y belonging to [a,b], |f (x) - f (y)| ≤ c |x - y|
Question
Let a < b (arbitrarily)
Let c > 0
Assume function g is funny on [a, b]
Let x, y ∈ [a, b]
Therefore, |g (x) - g (y)| ≤ c |x - y|...
Thanks for the reply!
Regarding the negative in the equation "d' = v2t' - (1/2)(a)(t')2" I got it off my high school notes which should not include direction within the equation itself. However I've checked this below by changing the frame of reference so that down is (+).
The equation that...
Homework Statement
"A falling object travels one-fourth of its total distance in the last second of its fall. From what height was it dropped?"
Reference: Up is (+)
Scenario 1 (Complete motion)
a = -9.8
v1 = 0
d = -x
v2 = ?
Scenario 2 (Motion at the last second)
a = -9.8
d' = (1/4)(-x)
t' =...