Consider the function y = f(x). f(x) = x2 + 4x + 5, P(1, 10) (a) Find the slope of the secant line PQ for each point Q(x, f(x)) with the x value given in the table. (Round your answers to six decimal places.) Slope m pQ 1.1 1.01 1.001 1.0001 1.00001 1.000001 0.9 0.99 0.999 0.9999 0.99999 0.999999 (b) Use the answers from part (a) to estimate the value of the slope of the tangent line at P. (c) Use the answer from part (b) to find the equation of the tangent line to fat point P. (Let x be the independent variable and y be the dependent variable.)

Consider the function y = f(x). f(x) = x2 + 4x + 5, P(1, 10) (a) Find the slope of the secant line PQ for each point Q(x, f(x)) with the x value given in the table. (Round your answers to six decimal places.) Slope m pQ 1.1 1.01 1.001 1.0001 1.00001 1.000001 0.9 0.99 0.999 0.9999 0.99999 0.999999 (b) Use the answers from part (a) to estimate the value of the slope of the tangent line at P. (c) Use the answer from part (b) to find the equation of the tangent line to fat point P. (Let x be the independent variable and y be the dependent variable.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

See similar textbooks