The point P(9,7) lies on the curve y = √x + 4. Let Q be the point (x, √x+4). a.) Find the slope of the secant line PQ for the following values of a. (Answers here should be correct to at least 6 places after the decimal point.) If x = 9.1, the slope of PQ is: If a = 9.01, the slope of PQ is: 9. If x= 8.9, the slope of PQ is: If x= 8.99, the slope of PQ is: 9- b.) Based on the above results, estimate the slope of the tangent line to the curve at P(9,7).
The point P(9,7) lies on the curve y = √x + 4. Let Q be the point (x, √x+4). a.) Find the slope of the secant line PQ for the following values of a. (Answers here should be correct to at least 6 places after the decimal point.) If x = 9.1, the slope of PQ is: If a = 9.01, the slope of PQ is: 9. If x= 8.9, the slope of PQ is: If x= 8.99, the slope of PQ is: 9- b.) Based on the above results, estimate the slope of the tangent line to the curve at P(9,7).
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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