Two hours after the start of a 100-kilometer bicycle race, a cyclist passes the 82-kilometer mark while riding at a velocity of 44 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).

Answered: Image /qna-images/answer/2f0535d0-2a89-44b2-8582-830915b17fd8.jpg

Two hours after the start of a 100-kilometer bicycle race, a cyclist passes the 82-kilometer mark while riding at a velocity of 44 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 Que (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 44 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 Que (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).

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

See similar textbooks

Similar questions

Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
aThe average rate of change of a function f between x=a and x=b is the slope of the ___________ line between (a,f(a)) and (b,f(b)).
Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.