1. Consider the function f(x) = x + 10 on the interval [1,9]. (a) Calculate the...

 

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1. Consider the function f(x) = x + 10 on the interval [1,9]. (a) Calculate the upper sum for f(x) using n subintervals. Give your answer as an expression involving n but no summation by using the results for the two "Important Sums" from the course notes. 4 subintervals, by using your formula from (a) and comparing to the direct calculation of U4 in terms of the area of four rectangles. (b) Check your answer for n = (c) Calculate U10, U100 using your formula from (a). (d) Calculate the lim Un. 86 (e) Calculate the area under f on the interval [1,9] exactly using geometry and compare to your answer for (d). 1. Consider the function f(x) = x + 10 on the interval [1,9]. (a) Calculate the upper sum for f(x) using n subintervals. Give your answer as an expression involving n but no summation by using the results for the two "Important Sums" from the course notes. 4 subintervals, by using your formula from (a) and comparing to the direct calculation of U4 in terms of the area of four rectangles. (b) Check your answer for n = (c) Calculate U10, U100 using your formula from (a). (d) Calculate the lim Un. 86 (e) Calculate the area under f on the interval [1,9] exactly using geometry and compare to your answer for (d).

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a The upper sum for fx x 10 using n subintervals can be calculated using the formula ... View the full answer