Brian has 2000 small building blocks. He decided to share them with his cousin, Tia. He shared 1/4 of the blocks with Tia. How many did he keep?

F(x) = (x^2 + 3x − 4) and g (x) = (x+4) find f/g and state the domain.

Restrictions on f(x) = 1/x+5 and g(x) = x-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.