Do the following for the function f(x) = 10x² + 8x. (a) Express the slope of the secant line in terms of x and h. (b) Find msec for h=0.5, 0.1, and 0.01 at x = 1. What value does msec approach as h approaches 0? (c) Find the equation for the secant line at x = 1 with h=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 (Simplify your answer. Do not factor.) = (b) For h=0.5 at x = 1, msec 2 (Round to two decimal places as needed.) For h=0.1 at x = 1, msec = (Round to two decimal places as needed.) For h=0.01 at x = 1, msec" (Round to two decimal places as needed.) As h approaches 0, msec approaches. (Type an integer or decimal.) (c) The equation for the secant line at x = 1 with h = 0.01 is y=

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Do the following for the function f(x) = 10x² + 8x.
(a) Express the slope of the secant line in terms of x and h.
(b) Find msec for h=0.5, 0.1, and 0.01 at x = 1. What value does msec approach as h approaches 0?
(c) Find the equation for the secant line at x = 1 with h=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.
(Simplify your answer. Do not factor.)
msec
(b) For h=0.5 at x = 1, msec
(Round to two decimal places as needed.)
For h=0.1 at x = 1, msec =
(Round to two decimal places as needed.)
For h=0.01 at x = 1, msec
(Round to two decimal places as needed.)
As h approaches 0, msec approaches
(Type an integer or decimal.)
p
(c) The equation for the secant line at x = 1 with h = 0.01 is y=.
***
Transcribed Image Text:Do the following for the function f(x) = 10x² + 8x. (a) Express the slope of the secant line in terms of x and h. (b) Find msec for h=0.5, 0.1, and 0.01 at x = 1. What value does msec approach as h approaches 0? (c) Find the equation for the secant line at x = 1 with h=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. (Simplify your answer. Do not factor.) msec (b) For h=0.5 at x = 1, msec (Round to two decimal places as needed.) For h=0.1 at x = 1, msec = (Round to two decimal places as needed.) For h=0.01 at x = 1, msec (Round to two decimal places as needed.) As h approaches 0, msec approaches (Type an integer or decimal.) p (c) The equation for the secant line at x = 1 with h = 0.01 is y=. ***
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