Verify that the hypotheses of the Mean Value Theorem are satisfied on the given interval and find all values of ‘c’ that satisfy the conclusion of the theorem.
f(x)= X2 + x ; [ - 4, 6 ]
in this equation x have power 2. and then + to x
thanks
2007-06-02 20:54:24 · 3 answers · asked by zubair y 1 in Science & Mathematics ➔ Mathematics
f(c) = {f(b) - f(a)}/(b - a)
Here, f(c) = {f(6) - f(-4)}/(6 + 4)
Now, f(6) = 6^2 + 6 = 42
f(-4) = 4^2 - 4 = 12
So, f(c) = (42 - 12)/10 = 3
But, f(c) = c^2 + c
So, c^2 + c = 3
c = [-1 +/-√(1 + 4*1*3)]/2 = (-1 +/-√13)/2 = 1.3028, -2.3028
2007-06-02 21:06:36 · answer #1 · answered by psbhowmick 6 · 4⤊ 0⤋
That's cheating, bro...
Even as a stoner in college, I had to...
"ACTUALLY LEARN THE DAMN MATERIAL, AND REMEMBER IT FOREVER SO I WOULD PASS THE TEST WITH HONOR AND PERSONAL INTEGRITY, AND THEREFORE NOT BE SOME BONEHEAD WHO CHEATED HIS WAY OUT OF SOME MILDLY DIFFICULT QUESTIONS ON A TEST....!!!!
2007-06-03 04:00:03 · answer #2 · answered by Anonymous · 2⤊ 0⤋
f(x) = 3.453/0.234+ 346^789443= 23456
2007-06-03 03:59:52 · answer #3 · answered by Anonymous · 0⤊ 0⤋