What type of curve does the polar curve \( r=2\sec\theta \) represent in Cartesian coordinates? (Hint: rather than graph it, try converting the equation to Cartesian coordinates).

Compute the length of the curve \( r=2\cos\theta \) for \( 0\leq\theta\leq\pi \). Round your answer to two decimal places if necessary.

Which of the following is true about the population in U.S. jails?

Which punishment philosophy is based on the idea that offenders deserve to be punished for breaking the law?

Match the historical trend to a real-world outcome:

Given here is the graph of \( r \) as a function of \( \theta \).   Click anywhere on the correct graph of the polar curve below.

A point \( P \) has Cartesian coordinates \( (-2,2) \). Which of the following represents the polar coordinates \( (r,\theta) \) of \( P \)?

Lisa a first-time non-violent offender is sentenced to probation and required to complete 100 hours of community service. What sentencing goal does this most likely reflect?

A defendant is fined $1000 for shoplifting and required to attend a class on theft prevention. This is an example of:

In a _______ sentencing system the sentence is a fixed length of time while in an _______ system the sentence provides a range and allows for parole board input.