Question

I need help with part 4 and 5 of this question please. For part 1 I got 5/N.... For part 2 I got 5+j(5/N).... For Part 3 I got (100/N) + j(100/N^2).... I am stuck on 4 and 5 however. Thank you!

In this problem you will calculate the area under (x) 4r on the interval [5,10] by using right endpoint approximations: 1. The interval 15,101 is divided into n equal subdivisions of length Δ". What is Ar? right-hand endpoint of the jth subinterval is denoted z. ,.㠡㠡㠡㠡㠡㠡 㠡㠡㠡㠡㠡㠡㠡㠡㠡㠡㠡㠡 (in terms of, and N) 2. The What is rj? 3. Using these choices for and Ar, the definition tells us that Arealim What is f㈜Ar?- (in terms of j and N) 4. Express Σ f(x)as in closed form. _ _ _ (Your answer will be in terns of N and not j.) Finally, complete the problemi by taking the limit as N → oo of the expression that you found in the previous part. 5 N →00