An agricultural sprinkler distributes water in a circular pattern of radius 100 ft. It supplies water to a depth of e^-r feet per hour at a distance of r feet from the sprinkler. If 0 < R ≤ 100, what is the total amount of water supplied per hour to the region inside the circle of radius R centered at the sprinkler?

Find the greatest common factor of the followig monomials 21u^5v,3u^4v^6, and 3u^2v^5

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.

Find the zeros of each function. f(x) = x^2 + 5x - 6