On what intervals is the graph of f(x)=x^3-2x^2+5x+1 increasing?

on what intervals is the graph of f(x)=0.5x^2-6 decreasing?

on what intervals is the graph of f(x)= increasing?

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

[15 points, algebra 2]simplify the complex fraction and find the restrictions.

Which equation results from adding the equations in this system? x+6y=9 and -x+2y=-15