Theres 5 parts to this questions The point P(2,14.)P(2,14) lies on the curve y=x^2+x+8y=x^2+x+8. If QQ is the point (x,x2+x+8)(x,x2+x+8), find the slope of the secant line PQPQ for the following values of xx. If x=2.1x=2.1, the slope of PQPQ is: if x=2.01x=2.01, the slope of PQPQ is: if x=1.9x=1.9, the slope of PQPQ is: if x=1.99x=1.99, the slope of PQPQ is: Based on the above results, guess the slope of the tangent line to the curve at P(2,14)P(2,14).

Theres 5 parts to this questions The point P(2,14.)P(2,14) lies on the curve y=x^2+x+8y=x^2+x+8. If QQ is the point (x,x2+x+8)(x,x2+x+8), find the slope of the secant line PQPQ for the following values of xx. If x=2.1x=2.1, the slope of PQPQ is: if x=2.01x=2.01, the slope of PQPQ is: if x=1.9x=1.9, the slope of PQPQ is: if x=1.99x=1.99, the slope of PQPQ is: Based on the above results, guess the slope of the tangent line to the curve at P(2,14)P(2,14).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 21E

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Question

Theres 5 parts to this questions The point P(2,14.)P(2,14) lies on the curve y=x^2+x+8y=x^2+x+8. If QQ is the point (x,x2+x+8)(x,x2+x+8), find the slope of the secant line PQPQ for the following values of xx.

If x=2.1x=2.1, the slope of PQPQ is:

if x=2.01x=2.01, the slope of PQPQ is:

if x=1.9x=1.9, the slope of PQPQ is:

if x=1.99x=1.99, the slope of PQPQ is:

Based on the above results, guess the slope of the tangent line to the curve at P(2,14)P(2,14).

Expert Solution