Para un circuito LRC: para R=10 ohms, L=2 Henrys y C=0.5 Farad a) Dibuje un diagrama que lo represente. b) Determine el modelo matemático para el circuito. c) Utilice las transformadas de Laplace para pasar el modelo matemático de una función del tiempo a una función de frecuencia. d) Resuelva el modelo e indique los ceros y plos.

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?

Factor the polynomial by its greatest common monomial factor.

What is the y-intercept of the line with the equation 3x + 4y = 12?