b. On a 6 foot long shelf filled with books, the function B models the distribution of the weight of the books, in pounds per inch, where x is the number of inches from the left end of the bookshelf. Let B(x) be given by the rule B(x) = 0.5 + 1 (x+1)². 6.3 Density, Mass, and Center of Mass i. What are the units on the product B(x). Ax? ii. What are the units on the definite integral and its Riemann sum approxi- mation given by 36 B(x) dx ≈ [B(x₁)Ax? i=1 n 72 iii. Evaluate the definite integral ¹² B(x) dx = 7² (0.5 + (x+1)² one sentence to explain the meaning of the value you find. dx and write

b. On a 6 foot long shelf filled with books, the function B models the distribution of the weight of the books, in pounds per inch, where x is the number of inches from the left end of the bookshelf. Let B(x) be given by the rule B(x) = 0.5 + 1 (x+1)². 6.3 Density, Mass, and Center of Mass i. What are the units on the product B(x). Ax? ii. What are the units on the definite integral and its Riemann sum approxi- mation given by 36 B(x) dx ≈ [B(x₁)Ax? i=1 n 72 iii. Evaluate the definite integral ¹² B(x) dx = 7² (0.5 + (x+1)² one sentence to explain the meaning of the value you find. dx and write

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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