State true and false
1>If f and g are contineous and f(x)>= g(x) for a<x<b, then integral(a to b)f(x)dx>=integral(a tob)g(x)dx
2>If f and g are contineous and f(x)>= g(x) for a<x<b, then f '(x)>=g'(x) for a<x<b
Hello, Gracy!
State true and false.
(1) If and are continuous and for ,
then: .
I would say True . . .Code:| * | :* : | : * : | : * : | : * f(x) | : : | : o g(x) | : o : | : o : | o : --+---+---------+-- | a b
If is always "above" on
. . then the area under will be the area under
(2) If and are continuous and for ,
then: . for
This is False . . .Code:| * | :* : | : * : | : * : | : * f(x) | : : | : o g(x) | : o : | : o : | o : --+---+---------+-- | a b
While is above , we see that
. . is negative while is positive.