in this problem you will calculate the area between f(x) = 9x + 5 and the x-axis over the interval [0,2] using a limit of right-endpoint riemann sums ∑ i = 1 Δ x f ( x i )

Question

a) express the width of each subinterval delta x in terms of the number of subintervals n

b) find the right endpoints of the first, second , and third subintervals and express your answers in terms of n

c) find a general expression for the right endpoint xk of the kth subinterval [xk-1,xk] , where 1 less than or equal to k less than or equal to n. express your answer in terms of k and n

d) find f(xk) in terms of k and n

e) find f(xk) delta x in terms of k and n

f) find the value of the right endpoint riemann sum in terms of n

g) find the limit of the right endpoint riemann sum

Answer 1