Whats were the main purposes of the counter-reformation

The Counter-Reformation (Latin: Contrareformatio), also called the Catholic Reformation (Latin: Reformatio Catholica) or the Catholic Revival,[1] was the period of Catholic resurgence initiated in response to the Protestant Reformation, beginning with the Council of Trent (1545–1563) and ending at the close of the Thirty Years' War (1648). The Counter-Reformation was a comprehensive effort composed of four major elements

The main purposes of the Counter-Reformation were to strengthen the Catholic Church against the threat of Protestantism (thus keeping Catholics from converting to Protestantism), and also to enact reforms that would eliminate corruption and correct some problems in the Catholic Church.

Explanation:

The Catholic Reformation or Counter-Reformation in the 1500s was an effort by the Roman Catholic Church to strengthen itself in response to the Protestant Reformation.  The Counter-Reformation included a number of features, such as:

The formation of religious orders that aimed to build allegiance to Rome and the papacy, and to educate people in Catholic teaching.  The Society of Jesus, known as the Jesuits for short, was a key order of this sort.  The order was founded by Ignatius of Loyola in 1534, along with Francis Xavier and several others.The Roman Inquisition was founded in 1542 to act as an investigative body in regard to threats to Rome's teachings.  About a century later, Galileo would be one of the most famous persons tried by the Roman Inquisition.The Council of Trent served to reform some abuses that were acknowledged by the Catholic Church, but mostly to assert the full authority of Roman power and doctrine over the Protestant threat. The Council of Trent held meetings over a span of years from 1545 to 1563.  Some of the abuses addressed by the Council of Trent were simony and selling of indulgences.  Simony was the practice of buying and selling church offices.  The Council of Trent condemned such practices, which had been widely abused in the church and criticized by reformers.  As for indulgences, the underlying principle of indulgences was upheld -- that the church had authority to grant reprieve to penance or time in purgatory. But the sale of indulgences was stopped.  The church recognized that the selling of indulgences had been an abuse and determined to end that practice.Clergy education was recognized as a problem that needed attention in the Catholic Church.  Seminaries were established and the Roman Catechism, also known as the Catechism of the Council of Trent, was commissioned by the Council and was published in 1566.  The intention of these actions was thoroughly to improve the education of the church's clergy.

Answer(1) year suspended

You're asking in the ap section, so i'll give the ap calculus-style answer. alternatively, you can find the vertex of the parabola and use the "y"-coordinate as the answer.

the maximum height can occur at a critical number, that is, a number  such that  .

the derivative of  can be calculated as follows:



find a value of  that is a zero of the derivative:


this is parabola that is opening downward; we can assume there is a maximum at  .

to find that maximum, calculate  .