Line AB passes through points A(-6,7) and B(-6,-3) as shown on the coordinate grid below. Determine the equation of a line that is perpendicular to line AB and passes through the point (2, 4).

Write a function that matches the description. a cosine function has a maximum of 5 and a minimum value of -5. f (r) =

Ascientist has discovered an organism that produces five offspring exactly one hour after its own birth, and then goes on to live for one week without producing any additional offspring. each replicated organism also replicates at the same rate. at hour one, there is one organism. at hour two, there are five more organisms. how many total organisms are there at hour seven? 2,801 19,531 19,607 97.655

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 =