The shaded region is the portion inside x2+y2=R2{“version”:”1.1″,”math”:”x2+y2=R2″} in the first quadrant. Set up and evaluate an integral that gives the area of this region.

In a carnival ride, passengers stand with their backs against the wall of a cylinder. The cylinder is set into rotation and the floor is lowered away from the passengers, but they remain stuck against the wall of the cylinder. For a cylinder with a 2.0-m radius, what is the minimum speed that the passengers can have so they do not fall if the coefficient of static friction between the passengers and the wall is 0.25?

Evaluate the indefinite integral:∫2x tan200(x2) sec4x2dx{“version”:”1.1″,”math”:”∫2x tan200(x2) sec4x2dx”}

What triggers the collapse of interstellar clouds to form stars? A density increase in a region of the cloud initiates the attraction of more material in the region by means of

As the nebula or the molecular cloud contracts due to gravity

The solar sunspot activity occurs in cycles of

Our Sun is expected to remain on the main sequence for

The temperature of the visible surface of our Sun is

A star when observed through a powerful telescope has a Stellar Parallax of 0.25 arcsecs. What is the distance to the star?

The more massive a main sequence star is