Chapter 2.4, Problem 5E

Let f(x)=1x . Find a number c such that the average rate of change of the functionfon the interval (1,c) is 14

bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 10.7 gallons. What is the average rate of flow of the gasoline into the gas tank?

¹) If a rock is thrown upward on the planet Mars with a velocity of 10m/s, its height in meters after x seconds if given by equation y = f(x) = 10x - 1.8x² a) Find average velocity of the rock from x = 1 to x = 2 seconds. AND Explain what this finds in context to the application with correct units. b) Find and simplify the difference quotient for the function y = f(x) = 10x - 1.8x² f(x +h)-f(x) h

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Safari File Edit View History Bookmarks Window Help A mat a O (302) YouTube O (347) Yo MAT 1133.006 Spring 2021 Test: Exam 1 Spring 2021 This Question: 1 pt 3 of 20 (2 c Find the average rate of change for the function over the given interval. y= 2x° - 8x2 + 3 between x= - 9 and x = 5 O A. 154 2156 O B. 53 OC. 53 OD. 14 Click to select your answer.