An algorithm can calculate the universe partition function (a function one can give to a statistical physicist to find out the secrets of our universe) with a precision level in time . The parameter corresponds to a specific choice of hyperparameters in the algorithm. For a given , which does one need to choose to use the fastest version of the algorithm?

Which side lengths of a rectangle with a perimeter of maximize its area?

Let . What is the value of over the interval such that the Mean Value Theorem is satisfied?

Which of the following is not a requirement for the Mean Value Theorem to hold?

Given and knowing that the equation has 3 distinct real solutions which of the following is always true?

Which of the following functions is guaranteed to have a critical point with by Rolle’s Theorem?

Fármacos com baixa eficácia ligam-se aos receptores, mas não os ativam totalmente. Esses "agonistas parciais" podem atuar como um agonista com baixa eficácia (na ausência de um agonista total) ou como um antagonista competitivo (se um agonista total estiver presente). Qual curva reflete melhor o efeito produzido por esse tipo de agonista quando administrado isoladamente?

Drugs with low efficacy bind to receptors but do not fully activate them. These "partial agonists" can act as an agonist with low efficacy (in the absence of a full agonist) or as a competitive antagonist (if a full agonist is present). Which curve best reflects the effect produced by this type of agonist when administered alone?