Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Two hours after the start of a​ 100-kilometer bicycle​ race, a cyclist passes the 74​-kilometer mark while riding at a velocity of 39 kilometers per hour. Complete parts​ (A) through​ (C) below.

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Two hours after the start of a 100-kilometer bicycle race, a cyclist passes the 74-kilometer
mark while riding at a velocity of 39 kilometers per hour. Complete parts (A) through (C)
below.
(A) Find the cyclist's average velocity during the first two hours of the race.
37 kilometers per hour
(B) Let f(x) represent the distance traveled (in kilometers) from the start of the race (x = 0) to
time x (in hours). Find the slope of the secant line through the points (0,f(0)) and (2,f(2)) on
the graph of y = f(x).
%3D
37 kilometers per hour
(C) Find the equation of the tangent line to the graph of y = f(x) at the point (2,f(2)).
y- 74 = 39(x - 2) (Type an equation).
%3D
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Transcribed Image Text:Two hours after the start of a 100-kilometer bicycle race, a cyclist passes the 74-kilometer mark while riding at a velocity of 39 kilometers per hour. Complete parts (A) through (C) below. (A) Find the cyclist's average velocity during the first two hours of the race. 37 kilometers per hour (B) Let f(x) represent the distance traveled (in kilometers) from the start of the race (x = 0) to time x (in hours). Find the slope of the secant line through the points (0,f(0)) and (2,f(2)) on the graph of y = f(x). %3D 37 kilometers per hour (C) Find the equation of the tangent line to the graph of y = f(x) at the point (2,f(2)). y- 74 = 39(x - 2) (Type an equation). %3D
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