Two hours after the start of a 100-kilometer bicycle race, a cyclist passes the 82-kilometer mark while riding at a velocity of 45 kilometers per hour. Complete parts (A) through (C) below. C... (A) Find the cyclist's average velocity during the first two hours of the race. 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). kilometers per hour (C) Find the equation of the tangent line to the graph of y=f(x) at the point (2,f(2)). (Type an equation).
Two hours after the start of a 100-kilometer bicycle race, a cyclist passes the 82-kilometer mark while riding at a velocity of 45 kilometers per hour. Complete parts (A) through (C) below. C... (A) Find the cyclist's average velocity during the first two hours of the race. 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). kilometers per hour (C) Find the equation of the tangent line to the graph of y=f(x) at the point (2,f(2)). (Type an equation).
Chapter2: Functions And Their Graphs
Section2.4: A Library Of Parent Functions
Problem 47E: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate...
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Transcribed Image Text:Two hours after the start of a 100-kilometer bicycle race, a cyclist passes the 82-kilometer mark while riding at a velocity of 45 kilometers per hour. Complete parts (A)
through (C) below.
(A) Find the cyclist's average velocity during the first two hours of the race.
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).
kilometers per hour
(C) Find the equation of the tangent line to the graph of y = f(x) at the point (2,f(2)).
(Type an equation).
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