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 = 5x²e^y + 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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a Using the Chain Rule Given x cost y sint T 5x2ey 5xy3 First lets find the partial derivativ... View the full answer