Suppose that a duck is swimming in the circle x = cos(8t), y = sin(8t) and that the water temperature is given by the formula dT T = 2x² e 3xy. Find the rate of change in temperature the duck might feel. " dt (Use symbolic notation and fractions where needed.) Word of caution: this problem is lengthy because of the number of terms. Be careful when entering your answer.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose that a duck is swimming in the circle x = cos(8t), y = sin(8t) and that the water temperature is given by the formula
dT
T = 2x²e - 3xy. Find the rate of change in temperature the duck might feel.
9
dt
(Use symbolic notation and fractions where needed.)
Word of caution: this problem is lengthy because of the number of terms. Be careful when entering your answer.
dT
dt
Transcribed Image Text:Suppose that a duck is swimming in the circle x = cos(8t), y = sin(8t) and that the water temperature is given by the formula dT T = 2x²e - 3xy. Find the rate of change in temperature the duck might feel. 9 dt (Use symbolic notation and fractions where needed.) Word of caution: this problem is lengthy because of the number of terms. Be careful when entering your answer. dT dt
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