Question Completion Status: QUESTION 6 Match the following approaches to calculu

Question

Question Completion Status: QUESTION 6 Match the following approaches to calculus to the individuals: He used rigorous methods for integration based on a technique l'Archimedes known as the method of exhaustion. 2.Cavalieri 3, Descartes 4.Fermat 5.Oresme He realised that motion under constant acceleration could be - represented as a graph, and that the distance travelled at any time was represented by the area under the graph at that time. 6.Torricelli He was the first to develop a systematic method of finding maxima and minima. He derived results using the method of indivisibles (infinitesimals) and, while he said that these results could be verified by more rigorous methods if necessary, rarely did so in oractice. He used indivisibles (infinitesimals) to derive results but then proved them in the traditional way. QUESTION 7 sienifica or contribution to the development of the ·', iaas ..isa made

Explanation / Answer

Method of exhaustion was used by Achimedes to calculate the areas of polygons etc. so answer is 1.

oresme and graphing technique is famous. he is the one who found out this distance culcalution method. so answer is 5.

Pierre de Fermat developed the method of finding maxima and minima so answer is 4.

Cavalieri derived the results using method of indivisibles so answer is 2.

Archimedes, for example, deemed it necessary to provide a second proof of results obtained by the method of indivisibles, based on the method of exhaustion (see Exhaustion, method of). so answer is 1.

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