I thought I had an answer but was wrong. Anybody?
My best guess would be f(c) = 4, assuming c = 2, but it's just a guess.
Simon ,'Objects In Space'
Off-topic discussion. Wanna talk about corsets, duct tape, or physics? This is the place. Detailed discussion of any current-season TV must be whitefonted.
I thought I had an answer but was wrong. Anybody?
My best guess would be f(c) = 4, assuming c = 2, but it's just a guess.
I thought I had an answer but was wrong. Anybody?
2
Can you imagine the power of an infinite number of Theremins, bringing down defenses, shattering eardrums.
Somehow "piercing" and "woo-woo-woo" don't quite go together in my mind.
The function f is differentiable on the interval 0 < x < 4. If f(1)=1 and f(3)=7, then for some 1 < c < 3, f'(c) must be equal to:
1, 2, 3, 4, or 6?
3. It's the mean value theorem: for some value on the interval, the slope must be equal to the average slope, which is (7-1)/(3-1) = 3.
Jon, that is just about the sweetest story ever. Even with the Tex Avery moments, just so damn sweet. Millions of congratulations all over again!
haha, I loved the Tex Avery moments.
But fate had other plans and now we have two anniversaries to remember.
I tend to get around this problem by just not remembering them.
OK, there are an infininte number of functions that would fulfill that criteria. The function could be a straight line with slope of 2 3. If not, then say it is a function that has a slope of less than 2 3 for part of that interval. Then another part must have a slope of greater than two, and since it's differentiable then there must also be a point with a slope of 2 3 in there....
3. It's the mean value theorem: for some value on the interval, the slope must be equal to the average slope, which is (7-1)/(3-1) = 3.
Argh!
I get the concept right but flunk on the basic math part!!!!
eta: I drew a little graph but made a mistake - I plotted f(1) = 3 for some reason.....
Aww, that's just the sweetest story evah.
t resolves to ride the subway more often
t realizes the current city of residence has no subway system. sigh dejectedly
Why is FAQ girl called the FAQ girl, btw? Is it because Jon is the Master of the FAQ?