1. the center of a circle is located at (5, −5) . the radius of the circle is 3. what is the equation of the circle in general form? x^2+y^2+10x−10y+47=0 x^2+y^2+10x−10y+41=0 x^2+y^2−10x+10y+47=0 x^2+y^2−10x+10y+41=0 2.the standard form of the equation of a circle is (x−5)2+(y−6)2=1. what is the general form of the equation? x^2+y^2−10x−12y−62=0 x^2+y^2+10x+12y+62=0 x^2+y^2−10x−12y+60=0 x^2+y^2+10x+12y+60=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.

Select all the correct locations on the table. consider the following expression. 76.493 select "equivalent" or "not equivalent" to indicate whether the expression above is equivalent or not equivalent to the values or expressions in the last column equivalent not equivalent 343 equivalent not equivalent 49 78.498 78.498 75.493 equivalent not equivalent 75.7 equivalent not equivalent

Find the volume of the solid obtained by rotating the region enclosed by the curves y=1x and y=7^-x about the x-axis. (use symbolic notation and fractions where needed.) volume =