Find a power series representation for the function and determine the interval of convergence. (give your power series representation centered at x = 0.) f(x)=1/(8+x)

One side of a rectangle is 7 feet shorter than seven times the other side. find the length of the shorter side if we also know that the perimeter of the rectangle is 306 feet.

In the geometric progression –3, 12, −48… what term is 3,072?

Use the quadratic function to predict f(x) if x equals 8. f(x) = 25x2 − 28x + 585