The point P(3, 16) lies on the curve y = x+x + 4. If Q is the point (r, a+a+4), find the slope of the secant line PQ for the following values of r. If x = 3.1, the slope of PQ is: and if x = 3.01, the slope of PQ is: and if x = 2.9, the slope of PQ is: and if x = 2.99, the slope of PQ is: Based on the above results, guess the slope of the tangent line to the curve at P(3, 16).
The point P(3, 16) lies on the curve y = x+x + 4. If Q is the point (r, a+a+4), find the slope of the secant line PQ for the following values of r. If x = 3.1, the slope of PQ is: and if x = 3.01, the slope of PQ is: and if x = 2.9, the slope of PQ is: and if x = 2.99, the slope of PQ is: Based on the above results, guess the slope of the tangent line to the curve at P(3, 16).
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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![The point \( P(3, 16) \) lies on the curve \( y = x^2 + x + 4 \). If \( Q \) is the point \( (x, x^2 + x + 4) \), find the slope of the secant line \( PQ \) for the following values of \( x \).
- If \( x = 3.1 \), the slope of \( PQ \) is: [ ]
- If \( x = 3.01 \), the slope of \( PQ \) is: [ ]
- If \( x = 2.9 \), the slope of \( PQ \) is: [ ]
- If \( x = 2.99 \), the slope of \( PQ \) is: [ ]
Based on the above results, guess the slope of the tangent line to the curve at \( P(3, 16) \). [ ]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F41ebe3ac-29ca-4b9b-9ebe-637c790e306e%2F50245681-ff7c-48ed-9323-8bfdf0716515%2Fucu5jzu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The point \( P(3, 16) \) lies on the curve \( y = x^2 + x + 4 \). If \( Q \) is the point \( (x, x^2 + x + 4) \), find the slope of the secant line \( PQ \) for the following values of \( x \).
- If \( x = 3.1 \), the slope of \( PQ \) is: [ ]
- If \( x = 3.01 \), the slope of \( PQ \) is: [ ]
- If \( x = 2.9 \), the slope of \( PQ \) is: [ ]
- If \( x = 2.99 \), the slope of \( PQ \) is: [ ]
Based on the above results, guess the slope of the tangent line to the curve at \( P(3, 16) \). [ ]
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