Letf(x, y,t) represent temperature at a positionxmiles east andymilesnorth of nashville, tn and timethours after noon. suppose that temperatureincreases by.05◦for every mile south and by.01◦for every mile east. but temper-ature everywhere also depends on time of day and thus contains a term of the form12 cos(2π24t). suppose you drive southeast at 70mph at 6pm. is it getting hotter orcooler?

Worth 30 points! in this diagram, both polygons are regular. what is the value, in degrees, of the sum of the measures of angles abc and abd?

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.

Let event a = you roll an even number on the first cube.let event b = you roll a 6 on the second cube.are the events independent or dependent? why?