En un recreo campestre hay 3 piscinas: pequeña mediana y grande, cuyas capacidades (en litros) son proporcionales a los numeros 7, 24 y 68 respectivamente. Si la diferencia entre la piscina mediana y la grande es de 26 400 litros ¿cual es la capacidad en litros que tiene cada piscina?

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.