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dx Assume that an airplane is flying toward you at a constant height, h miles, and at a speed dt When the plane is x miles away, what is the rate of change of 0? h tan (0) X d 0 h d x dt x²+ h? dt h? d x dt x²+ h² _d t d 0 h d x dt x2+ h² d t d 0 h? d x dt x2+ h² _dt || ||

dx Assume that an airplane is flying toward you at a constant height, h miles, and at a speed dt When the plane is x miles away, what is the rate of change of 0? h tan (0) X d 0 h d x dt x²+ h? dt h? d x dt x²+ h² _d t d 0 h d x dt x2+ h² d t d 0 h? d x dt x2+ h² _dt || ||

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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dx Assume that an airplane is flying toward you at a constant height, h miles, and at a speed dt When the plane is x miles away, what is the rate of change of 0? h tan (0) X d 0 h d x dt x²+ h? dt h? d x dt x²+ h² _d t d 0 h d x dt x2+ h² d t d 0 h? d x dt x2+ h² _dt || ||
Transcribed Image Text:dx Assume that an airplane is flying toward you at a constant height, h miles, and at a speed dt When the plane is x miles away, what is the rate of change of 0? h tan (0) X d 0 h d x dt x²+ h? dt h? d x dt x²+ h² _d t d 0 h d x dt x2+ h² d t d 0 h? d x dt x2+ h² _dt || ||
Dan is blowing up a balloon. Assume that the volume of the balloon is V = 3 4 Tr , r(t) = t³ + 1. What is the formula for the rate of change of the volume of the balloon, with respect to time? =π (3 + 1 ) (2) d V = T dt (t2) } (1³ + 1)° (t²) d V dt 3 * = 12x (t' + 1) (r²) d V Y = 12x (t + 1)² d V -3 = 12n (t + 1
Transcribed Image Text:Dan is blowing up a balloon. Assume that the volume of the balloon is V = 3 4 Tr , r(t) = t³ + 1. What is the formula for the rate of change of the volume of the balloon, with respect to time? =π (3 + 1 ) (2) d V = T dt (t2) } (1³ + 1)° (t²) d V dt 3 * = 12x (t' + 1) (r²) d V Y = 12x (t + 1)² d V -3 = 12n (t + 1
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