Suppose that a duck is swimming in the circle x =cos( t ), y =sin( t )
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Question:
Suppose that a duck is swimming in the circle x =cos(t), y =sin(t) and that the water temperature is given bythe formula T = 5x2ey + 5xy3.
Find dT/dt, the rate of change in temperature the duckmight feel, by the following methods.
a.) By the ChainRule.
b.) By expressing T in terms of t and differentiating
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