Suppose that a duck is swimming in the circle x = cos(t), y = sin(t) and that the water temperature is given by the formula T = 3x²ey - 9xy³. Find the rate of change in temperature the duck might feel, by the following methods. 7 (a) by the chain rule dT dt (b) by expressing T in terms of t and differentiating
Suppose that a duck is swimming in the circle x = cos(t), y = sin(t) and that the water temperature is given by the formula T = 3x²ey - 9xy³. Find the rate of change in temperature the duck might feel, by the following methods. 7 (a) by the chain rule dT dt (b) by expressing T in terms of t and differentiating
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 8CR
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![Suppose that a duck is swimming in the circle x = cos(t), y = sin(t) and that the water temperature is given by the formula
dT
T = 3x²ey - 9xy³. Find the rate of change in temperature the duck might feel, by the following methods.
7
dt
(a) by the chain rule
(b) by expressing T in terms of t and differentiating](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f1c68a1-c113-41cc-b0cf-42f2666e5687%2F488ca127-a4dc-48d0-8048-8539c000d513%2Fojfdijt_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that a duck is swimming in the circle x = cos(t), y = sin(t) and that the water temperature is given by the formula
dT
T = 3x²ey - 9xy³. Find the rate of change in temperature the duck might feel, by the following methods.
7
dt
(a) by the chain rule
(b) by expressing T in terms of t and differentiating
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