Determine whether the series is convergent or divergent by expressing sn as a telescoping sum (as in example 7). [infinity] cos 2 n2 − cos 2 (n + 1)2 n = 1. if it is convergent, find its sum.

Karen is financing $291,875 to purchase a house. she obtained a 15/5 balloon mortgage at 5.35%. what will her balloon payment be? a. $220,089.34 b. $219,112.46 c. $246,181.39 d. $230,834.98

If f(x) =3x-2 and g(x) =2x+1 fins (f+ g) (x)

Apinhole camera is made out of a light-tight box with a piece of film attached to one side and pinhole on the opposite side. the optimum diameter d(in millimeters) of the pinhole can be modeled by d=1.9[ (5.5 x 10^-4) l) ] ^1/2, where l is the length of the camera box (in millimeters). what is the optimum diameter for a pinhole camera if the camera box has a length of 10 centimeters