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problem you will calculate the area between f x 3x and the x axis over...

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Calculus

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problem you will calculate the area between f x 3x and the x axis over the interval 0 2 using a limit of right endpoint Riemann sums Ax Express the following quantities in terms of n the number of rectangles in the Riemann sum and k the index for the rectangles in the Riemann sum a We start by subdividing 0 2 into n equal width subintervals ro 1 1 2 Tn 1 En each of width Az Express the width of each subinterval Az in terms of the number of subintervals n 1 2 3 x b Find the right endpoints 21 22 23 of the first second and third subintervals 0 1 2 2 3 and express your answers in terms of n 9 Enter a comma separated list c Find a general expression for the right endpoint x of the kth subinterval 1 where 1 k n Express your answer in terms of k and n 94 d Find f x in terms of k and n f x e Find f x Ax in terms of k and n f xk Ax f Find the value of the right endpoint Riemann sum in terms of n f x Ax k 1 limf z Ar k 1 g Find the limit of the right endpoint Riemann sum 121400 4 Area lim 11 900 1 zn Az 8

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