Do the following for the function f(x) = 6x? + 5x. (a) Express the slope of the secant line in terms of x and h. (b) Find mer for h= 0.5, 0.1, and 0.01 at x = 1. What value does mes approach as h approaches 0? (c) Find the equation for the secant line at x = 1 withh= 0.01. (d) Graph f and the secant line found in part (c) on the same viewing window. (a) Type the slope of the secant line in terms of x and h. msec U (Simplify your answer. Do not factor.) %3D (b) For h = 0.5 at x = 1, m = sec (Round to two decimal places as needed.) For h= 0.1 at x= 1, mgec = (Round to two decimal places as needed.) For h = 0.01 at x =1, mer = (Round to two decimal places as needed.) As h approaches 0, mgec approaches O (Type an integer or a decimal.) (e) The equation for the secant line at x= 1 with h = 0.01 is y=D (Type the expression in slope-intercept form. Round coefficients to two decimal places as needed.) (d) Which of the following is the graph of f and the secant line? O A. O B. Oc. Q 20 20 -5
Do the following for the function f(x) = 6x? + 5x. (a) Express the slope of the secant line in terms of x and h. (b) Find mer for h= 0.5, 0.1, and 0.01 at x = 1. What value does mes approach as h approaches 0? (c) Find the equation for the secant line at x = 1 withh= 0.01. (d) Graph f and the secant line found in part (c) on the same viewing window. (a) Type the slope of the secant line in terms of x and h. msec U (Simplify your answer. Do not factor.) %3D (b) For h = 0.5 at x = 1, m = sec (Round to two decimal places as needed.) For h= 0.1 at x= 1, mgec = (Round to two decimal places as needed.) For h = 0.01 at x =1, mer = (Round to two decimal places as needed.) As h approaches 0, mgec approaches O (Type an integer or a decimal.) (e) The equation for the secant line at x= 1 with h = 0.01 is y=D (Type the expression in slope-intercept form. Round coefficients to two decimal places as needed.) (d) Which of the following is the graph of f and the secant line? O A. O B. Oc. Q 20 20 -5
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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