Suppose that a duck is swimr - perature is given by the formı v²sin x. Find dT/dt in two chain rule and (b) by expressi and differentiating. line x = 3 + 8t, y = 3 – 2t, wF

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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Suppose that a duck is swimming in a straight
line x = 3 + 8t, y = 3 – 2t, while the water tem-
perature is given by the formula T = x²cos y -
v?sin x. Find dT/dt in two ways: (a) by the
chain rule and (b) by expressing T in terms of t
and differentiating.
Transcribed Image Text:Suppose that a duck is swimming in a straight line x = 3 + 8t, y = 3 – 2t, while the water tem- perature is given by the formula T = x²cos y - v?sin x. Find dT/dt in two ways: (a) by the chain rule and (b) by expressing T in terms of t and differentiating.
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