Explanation Given Information: The provided function is f ( x ) = e − x and the interval is [ 0 , 10 ] . Formula used: If a function f is continues then the left Riemann sum of the function f with n equal subdivisions over an interval [ a , b ] is, left riemann sum = ∑ k = 0 n − 1 f ( x k ) Δ x = f ( x 0 ) Δ x + f ( x 1 ) Δ x + .... + f ( x n − 1 ) Δ x = [ f ( x 0 ) + f ( x 1 ) + .... f ( x n − 1 ) ] Δ x Where the width of subdivision is Δ x = b − a n and the end points of the subdivisions are a = x 0 < x 1 < ⋅ ⋅ ⋅ ⋅ < x n = b . Calculation: Consider a function, f ( x ) = e − x Also consider an interval, [ 0 , 10 ] and the value of n, n = 5 Compute the width of the subdivisions Δ x , Δ x = b − a n =

Finite Mathematics and Applied Calculus (MindTap Course List)

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ISBN: 9781337274203

Author: Stefan Waner, Steven Costenoble

Publisher: Cengage Learning

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Chapter 13.3, Problem 9E

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To calculate: The left Riemann sum of the function f(x)=e−x over the interval [0,10] if, n=5

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Chapter 13.3, Problem 8E

Chapter 13.3, Problem 10E

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Chapter 13 Solutions

Finite Mathematics and Applied Calculus (MindTap Course List)

Ch. 13.1 - In Exercises 142, evaluate the integral. [HinT:...Ch. 13.1 - Prob. 2E Ch. 13.1 - Prob. 3E Ch. 13.1 - Prob. 4E Ch. 13.1 - Prob. 5E Ch. 13.1 - Prob. 6E Ch. 13.1 - Prob. 7E Ch. 13.1 - Prob. 8E Ch. 13.1 - Prob. 9E Ch. 13.1 - Prob. 10E

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The left Riemann sum of the function f ( x ) = e − x over the interval [ 0 , 10 ] if, n = 5

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To calculate: The left Riemann sum of the function f(x)=e−x over the interval [0,10] if, n=5

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Chapter 13 Solutions