A rectangle (shaded below) is inscribed in the first quadrant with its base on the x- 1 for axis and its upper right corner on the graph of the function y = 1+x x>0. Both x and y are in centimeters. X _y=1/(1+x) (b) Evaluate lim A X18 X (a) Let the width of the rectangle be x. Express the area of the rectangle A as a function of x? (c) Suppose the width of the rectangle is increasing at a rate of 0.6 cm/min. What is the rate of change of the area when the width x=2 cm? include units. Round your answer to four decimal places. (d) Given that the width of the rectangle is increasing at a constant rate of 0.6 cm/min, which one of the following statements is true? Why? (A) The area will change at a constant rate. (B) The area will increase faster and faster. (C) The area will increase slower and slower. (D) The area will decrease faster and faster. (E) The area will decrease slower and slower.
A rectangle (shaded below) is inscribed in the first quadrant with its base on the x- 1 for axis and its upper right corner on the graph of the function y = 1+x x>0. Both x and y are in centimeters. X _y=1/(1+x) (b) Evaluate lim A X18 X (a) Let the width of the rectangle be x. Express the area of the rectangle A as a function of x? (c) Suppose the width of the rectangle is increasing at a rate of 0.6 cm/min. What is the rate of change of the area when the width x=2 cm? include units. Round your answer to four decimal places. (d) Given that the width of the rectangle is increasing at a constant rate of 0.6 cm/min, which one of the following statements is true? Why? (A) The area will change at a constant rate. (B) The area will increase faster and faster. (C) The area will increase slower and slower. (D) The area will decrease faster and faster. (E) The area will decrease slower and slower.
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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