Question

Consider the following equations.

f(y) = y25 − y2g(y) = 0y = 4
Sketch the region bounded by the graphs of the functions.
Find the area of the region.

Answer 1

The region bounded by the graphs of the given functions does not exist, so the area of the region is 0.

Step-by-step explanation:

To sketch the region bounded by the graphs of the functions, we need to find the x-coordinates where the two functions intersect. Setting the two functions equal to each other, we get y^2 + y + 4 = 0. Since this quadratic equation has no real solutions, the two functions do not intersect and there is no bounded region to sketch.

Therefore, the area of the region is 0.