(Solved): Find all relative extrema for the function z=5y4160y2+5x21516, and then match the equation ...

Find all relative extrema for the function $z=5y^4-160y^2+5x^2-\frac{16}{15}$, and then match the equation to its graph. Identify where any relative maxima occur. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The relative maximum point(s) is(are) (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) B. There are no relative maxima. Identify the value of the function at any relative maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The value(s) of the function at the relative maximum point(s) is(are) (Simplify your answer. Use a comma to separate answers as needed. Type each answer only once.) B. There are no relative maxima. Identify where any relative minima occur. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The relative minimum point(s) is(are) (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) B. There are no relative minima.