Choose one question and write your answer in the text book…
Choose one question and write your answer in the text book provided Please note; A “yes or no” for some of the sub-questions is not enough, of course. You need to provide examples and context in order to earn full credit Where and when was Leibniz born? Was he a professional scholar? Why was diplomacy important at the time? Is it true that Leibniz plagiarized Newton’s work while he was in London? Comment on the notation for calculus used by Leibniz and why it is superior to Newton’s using the formula d(xy) =xdy+xdy and its proof as an example. 1. State the law of universal gravitation, and comment on how the attractive force between masses changes when the distance between them changes Who formulated the law of universal gravitation, and when ? What is the difference between mass and weight? Why is our weight different on different planets? Explain with the help of examples 2. When did a quest for greater rigor in mathematics start? What problems prompted such quest? What is the common-intuition definition of a continuous function? Is it true that a continuous curve can fill the plane? Is it true that the definition of limit was made rigorous only in the 19th century? State the definition of limit explaining what the role of epsilon and delta is using a picture to illustrate your point.