(a) Write the first three and final two summands in thesum nk=12 + k 3n4 3nExplain why

Chapter 5, Problem 25

(choose chapter or problem)

(a) Write the first three and final two summands in the sum

\(\sum_{k=1}^{n}\left(2+k \cdot \frac{3}{n}\right)^{4} \frac{3}{n}\)

Explain why this sum gives the right endpoint approximation for the area under the curve \(y=x^{4}\) over the interval [2, 5]
(b) Show that a change in the index range of the sum in part (a) can produce the left endpoint approximation for the area under the curve \(y=x^{4}\) over the interval [2, 5]

Equation Transcription:

Text Transcription:

sum_k=1 ^n (2+k . 3/n)^4 3/n

y=x^4

y=x^4

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