Explanation Given: The sum is, ∑ k = 1 4 ( 1 + k 2 ) 2 ( 1 2 ) The sum is, ∑ k = 1 4 ( 1 + k 2 ) 2 ( 1 2 ) The interval is [a, b]. The type of sum shown above is a right sum. The right-wing defined for n rectangles on [a,b] is ∑ k = 1 n f ( x k ) Δ x . Where, Δ x = b − a n , x k = a + k Δ x Comparing ∑ k = 1 4 ( 1 + k 2 ) 2 ( 1 2 ) with ∑ k = 1 n f ( x k ) Δ x

14th Edition

ISBN: 9781464151088

Author: Associate Professor Laura Taalman, Peter Kohn

Publisher: W.H. Freeman & Company

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Chapter 4.2, Problem 17C

To determine

To find the type of sum and the values off (x), a , b , n ,∆x,x_k

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Chapter 4.2, Problem 16C

Chapter 4.2, Problem 18C

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To find the type of sum and the values off (x), a , b , n ,∆x,x_k