Consider that the derivative of a funtion is f '(x) = (x - 1)^2(x - 3)^5(x - 6)^4. In what interval does f increase? Any help is very much appreciated!

Lance lived in portugal and brazil for a total of 14 months to learn portuguese. he learned an average of 130 new words per month when he lived in portugal, and an average of 150 new words per month when he lived in brazil. in total he learned 1920 new words. write a system of equations to represent the situation. use x to represent portugal, and y to represent brazil

Solve 3x-18=2y and 5x-6y=14 by elimination or substitution . show all !

Sketch the region enclosed by the given curves. decide whether to integrate with respect to x or y. draw a typical approximating rectangle and label its height and width. y= 5x, y=7x^2then find the area s of the region.