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(Solved): The following table gives the velocity of a cyclist. Use this information to ...
The following table gives the velocity of a cyclist. Use this information to answer the questions. 1) Estimate the total distance travelled from time \( t=0 \) seconds to 6 seconds using the: i. Left Rule ii. Right Rule iii. Trapezoid Rule 2) Are there any other methods to solve this problem? 3) Using the results above, give a bound that the actual total distance travelled lies within. 4) Express what the actual total distance travelled is represented by in mathematical notation. 5) Comment on how you could improve on your estimates. Explain your reasoning.
Expert Answer
1) i. Left Rule The Formula Total distance travelled =?i=1n?1(xi+1?xi)f(xi) So we have : Total distance travelled =(1?0)3+(2?1)4+(3?2)5+(