Consider the parametric equations below.

x = t sin(t), y = t cos(t), 0 ≤ t ≤ π/3

Set up an integral that represents the area of the surface obtained by rotating the given curve about the x-axis.

Integral (0 to π/3) dt

Use your calculator to find the surface area correct to four decimal places.

Sophia wrote an equation to represent the revenue of a movie theater for one day. she let x represent the number of child tickets sold and y represents the nunver of adult tickets sold. if a child ticket cost $4, an adult ticket cost $6, and the total revenue for the daybwas $420, which equation could sophia use to represent the number of chikd and adult tickets that were sold?