Let f(x) = 2x +2. solve f -1 (x) when x = 4

Find the value of tan theta if sin theta = 12/13 and theta is in quadrant 2

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.

One of the same side angles of two parallel lines is 20° smaller than the other one. find the measures of these two angles.