(a) Explanation Given: Consider the figure as shown below: From the above graph, the function is: f ( x ) = 4 x The incomplete table is: i x i f ( x i ) = 4 x 1 1 4 2 1.25 3 1.5 4 1.75 5 2 6 2.25 7 8 9 10 11 12 Explanation: Now, find the width of each rectangle. Consider the width of each rectangle is B then, B = x i + 1 − x 1 Now, substitute the values to find the width of each rectangle. Then, B = x i + 1 − x i = 1.25 − 1 = 0 (b) To determine To calculate: The approximate value of ∫ 1 4 4 x d x .

Mathematics with Applications, Books a la Carte, and MyLab Math with Pearson eText - Title-Specific Access Card Package (12th Edition)

12th Edition

ISBN: 9780134862651

Author: Lial

Publisher: PEARSON

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Chapter 13.4, Problem 2CP

(a)

To determine

To fill: Complete the table.

(b)

To determine

To calculate: The approximate value of ∫144xdx.

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Chapter 13.4, Problem 1CP

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Mathematics with Applications, Books a la Carte, and MyLab Math with Pearson eText - Title-Specific Access Card Package (12th Edition)

Ch. 13.1 - Checkpoint 1 Find an antiderivative for each of...Ch. 13.1 - Checkpoint 2 Find each of the...Ch. 13.1 - Prob. 3CP Ch. 13.1 - Prob. 4CP Ch. 13.1 - Prob. 5CP Ch. 13.1 - Prob. 6CP Ch. 13.1 - Prob. 7CP Ch. 13.1 - Checkpoint 8 The marginal cost at a level of...Ch. 13.1 - 1. What must be true of F(x) and G(x) if both are...Ch. 13.1 - 2. How is the antiderivative of a function related...

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