La utilidad diaria proveniente de la venta de árboles en el departamento de jardinería de una tienda está dada por U(x)=-x^2+18x+144, donde x es el número de los árboles vendidos. a) ¿Cuántos árboles deben venderse para que la utilidad sea máxima?
b) ¿Cuál es la utilidad máxima que puede obtenerse por la venta de árboles?
c) ¿Cuántos árboles deben de venderse para que no haya ganancia, ni pérdidas (utilidad igual a cero u(x) = 0)?

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a.what is the independent and dependent variables? b.find the amplitude and the period of the function. c.create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.

Formulate the indicated conclusion in nontechnical terms. be sure to address the original claim. the foundation chair for a hospital claims that the mean number of filled overnight beds is over 523, and she is therefore justified starting a funding campaign to add a wing to the hospital. assuming that a hypothesis test has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms.

Which of the following is equal to the rational expression when x is not equal to -2 or -6?