Suppose a system of equations was solved my elimination and the resulting equation was 0=3. Which of the following statements is/are true. a. The slopes of the two equations in the system are the same but their y-intercepts are different.

b. The system is an independent system.

c. The graphs of the two equations would intersect at the point (0,3).

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.

Which is the equation of a line perpendicular to the line with the equation 3x+4y=8

The figures below are made out of circles, semicircles, quarter circles, and a square. find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations).