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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
Transcribed Image Text: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
c) Use the difference quotient from part b to find the average rates of change for the function in the table X 1 1 1 1 H 0.05 0.01 0.001 0.0001 f(x +h)-f(x) h d) What can you guess based on the values given in the table tell you about the velocity of the stone after 1 second ?
Transcribed Image Text:c) Use the difference quotient from part b to find the average rates of change for the function in the table X 1 1 1 1 H 0.05 0.01 0.001 0.0001 f(x +h)-f(x) h d) What can you guess based on the values given in the table tell you about the velocity of the stone after 1 second ?
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Can you please be more clear with step B? I am having trouble understanding/reading it!

Also Since I am using this follow-up question can you please help me answer question D.) "What can you guess based on the values given in the table tell you about the velocity of the stone after 1 second"

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