Which of the following gives an equation of a line that passes through the point (3.-) and is parallel to the line that passes through the origin and point (-2, -12)?

Simplify a7/a4 a) 1/a3 b)-a/a2 c)a4/a3 d)a3

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.

If you apply the below transformations to the square root parent function, f(x) = vx, what is the equation of the new function? • shift 12 units right. • shift seven units down.