(Solved): PLEASE HELP Suppose f(x) has the following properties: - f(x) is continuous and positive for all x ...
PLEASE HELP
Suppose f(x) has the following properties: - f(x) is continuous and positive for all x∈[3,13] - f(x) is increasing for all x∈[3,13] - ∫313f(x)dx=92, - ∫913f(x)dx=56, Use this information to find the least and greatest possible value of f(9). ≤f(9)≤
To find the least and greatest possible values of f(9), we can use the properties and given information.We know that f(x) is continuous and positive for all a ? [3, 13], and f(x) is increasing for all x [3, 13].Let's use the definite integral to calculate the area under the curve of f(x) from 3 to 13. We have:?[3, 13] f(x) dx = 92