Determine a region whose area is equal to the given limit. Do not evaluate the limit. lim n → [infinity] n i = 1 π 4n tan iπ 4n tan(x) on − π 4 , π 4 tan(x) on 0, π 4 x tan(x) on 0, π 4 x tan(x) on − π 4 , π 4 tan(x) on [0, 4π]

The number of revolutions of two pulleys is inversely proportional to their diameters. if a 24-inch diameter pulley making 400 revolutions per minute is belted to an 8-inch diameter pulley, find the number of revolutions per minute of the smaller pulley.

Need ! give step by step solutions on how to solve number one [tex]\frac{9-2\sqrt{3} }{12+\sqrt{3} }[/tex] number two [tex]x+4=\sqrt{13x-20}[/tex] number three (domain and range) [tex]f(x)=2\sqrt[3]{x} +1[/tex]

The graph shows the function f(x) = (2.5)x was horizontally translated left by a value of h to get the function g(x) = (2.5)x–h.