A laser rangefinder is locked on a comet approaching Earth. The distanceg(x), in kilometers, of the comet afterxdays, forxin the interval0to30days, is given byg(x)=350,000csc(30x).

a.Select the graph ofg(x)on the interval[0,35].

b.Evaluateg(5).

Enter the exact answer.

g(5)=

c.What is the minimum distance between the comet and Earth? When does this occur? To which constant in the equation does this correspond?

The minimum distance between the comet and Earth is km which is the stretching factorperiodClick for List. It occurs at days.

d.Find and discuss the meaning of any vertical asymptotes on the interval[0,35].

The field below accepts a list of numbers or formulas separated by semicolons (e.g.2;4;6orx+1;x1). The order of the list does not matter.

x=

At the vertical asymptotes the comet is out of range of the laser.no longer bound in orbit.Click for List