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If z = (x + y)e", x = 4t, y = 5-t², find dz/dt using the chain rule. Assume the variables are restricted to domains on which the functions are defined. =

If z = (x + y)e", x = 4t, y = 5-t², find dz/dt using the chain rule. Assume the variables are restricted to domains on which the functions are defined. =

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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If 2 = || (x + y)e", X = 4t, y = 5 - t², find dz/dt using the chain rule. Assume the variables are restricted to domains on which the functions are defined. dz dt
Transcribed Image Text:If 2 = || (x + y)e", X = 4t, y = 5 - t², find dz/dt using the chain rule. Assume the variables are restricted to domains on which the functions are defined. dz dt
pressure decreases at a rate of 2.25 pascals per kilometer in the eastward direction. In addition, the air pressure is increasing at a constant rate with respect to time everywhere. A ship sailing eastward at 14 km/hour past an island takes barometer readings and records a pressure drop of 40 pascals in 2 hours. Estimate the time rate of change of air pressure on the island. (A pascal is a unit of air pressure.) Time rate of change of air pressure = (include units) Air
Transcribed Image Text:pressure decreases at a rate of 2.25 pascals per kilometer in the eastward direction. In addition, the air pressure is increasing at a constant rate with respect to time everywhere. A ship sailing eastward at 14 km/hour past an island takes barometer readings and records a pressure drop of 40 pascals in 2 hours. Estimate the time rate of change of air pressure on the island. (A pascal is a unit of air pressure.) Time rate of change of air pressure = (include units) Air
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