Find the resultant displacement when a vector of magnitude 5 units is added to a vector of magnitude 3 units at an angle of 45 degrees with regards to the x-axis.
+
Question: Find the period and amplitude of the function f(x) = tan x.
+
What is the standard equation of a hyperbola with center (3, -2), vertical transverse axis, vertex (3, -4), and foci at (3, 0) and (3, -8)?