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10 Nov 2019

Suppose that the Celsius temperature at the point (x,y) in thexy-plane is T(x,y)=xsin2y and that distance in the xy-plane ismeasured in meters. A particle is moving clockwise around a circleof radius 1 meter centered at the origin at the constant rate of 2m/s.

a) How fast is the temperature experienced by the particle changingin degrees Celsius per meter at point P(1/2, √3/2)

b) How fast is the temperature experienced by the particlechanging in degrees Celsius per second at P?

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Tod Thiel
Tod ThielLv2
9 Aug 2019

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