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QUESTION 7 cians who made a significant contribution to the development of the c

ID: 3194713 • Letter: Q

Question

QUESTION 7 cians who made a significant contribution to the development of the calculus in the 17th century: Cavalieri, Here is a list of Torricelli, Fermat, Descartes, Gregory, Barrow, Newton, Leibniz. Insert the appropriate name in the text below (take car e to copy the names A major dev of the calculus. It is clear that discovering the calculus may well have done so if he had not died so young. limited, geometrical form. The first to state and prove a more general form was nt was the understanding that differentiation and integration are inverse processes-the so-called fundamental theorem eppreciated this, though he did not write it down explicitdly. He was very close to was the first to prove it, though in a but again in a geometrical form. did not need to prove it - for him it was true by definition. The . dy/dk notation we use today was invented by However, he did not think of these symbols the way we do today for him i (summa, for sum) was the sum and dy/dx the ratio of infinitesimally small quantities. used a dot notation- for example-for differentiation because he was only interested in variables that changed over time. He did not need a separate notation for integration because this was

Explanation / Answer

Cavalieri

Gregory

Barrow

Fermat

Leibniz

Newton

Consider these names in the sequence of the blanks provided in the paragraph.

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