Let f(x) = cos x. Let p = (r, –1) be a point on the graph y = f(x) . (a) Calculate the slope of the secant line passing through P and (7 +0.2, f( + 0.2)). (b) Calculate the slope of the secant line passing throug p and (7 – 0.1, f (T – 0.1)). What would be your guess on the values of slope of secant lines passing through P and other points on the graph y = f(x) nea p? Then graph it. Copy the graph of y = f(x) and a secant line to your %3D homework. cos x-cos T slope T+ 0.2 T – 0.1 T + 0.05 T - 0.05 T +0.02 T – 0.01

Calculus: Early Transcendentals
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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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Let f(x) = cos x. Let p = (7,–1) be a point on the graph y = f(x) . (a)
Calculate the slope of the secant line passing through P and
(T + 0.2, f(T + 0.2)). (b) Calculate the slope of the secant line passing through
p and (T – 0.1, f (T – 0.1)). What would be your guess on the values of slopes
-
of secant lines passing through p and other points on the graph y = f(x) near
p? Then graph it. Copy the graph of y = f(x) and a secant line to your
homework.
cos x-cos T
slope
T+ 0.2
п — 0.1
-
T +0.05
T - 0.05
T +0.02
T – 0.01
-
Transcribed Image Text:Let f(x) = cos x. Let p = (7,–1) be a point on the graph y = f(x) . (a) Calculate the slope of the secant line passing through P and (T + 0.2, f(T + 0.2)). (b) Calculate the slope of the secant line passing through p and (T – 0.1, f (T – 0.1)). What would be your guess on the values of slopes - of secant lines passing through p and other points on the graph y = f(x) near p? Then graph it. Copy the graph of y = f(x) and a secant line to your homework. cos x-cos T slope T+ 0.2 п — 0.1 - T +0.05 T - 0.05 T +0.02 T – 0.01 -
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