Suppose that the Celsius temperature at the point (x, y) in the xy-plane is T(x, y) = x sin 2y and that distance in the xy-plane is measured in meters. A particle is moving clockwise around the circle of radius 1 m centered at the origin at the constant rate of 2 m/sec. How fast is the temperature experienced by the particle changing in degrees Celsius per meter at the point?

Missing information:

How fast is the temperature experienced by the particle changing in degrees Celsius per meter at the point

Step-by-step explanation:

Given

Express the given point P as a unit tangent vector:

Next, find the gradient of P and T using:

Where

So: the gradient becomes:

By vector multiplication, we have:

Hence, the rate is:

gmt is 4 hrs ahead of edt so just add four hours to 1: 14: 20 (minutes and seconds stay the same)

gmt is 5: 14: 20

hope this !

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