If the temperature of a plate at the point (x, y) is T(x, y) = 10 +
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(T = 2xi - 2yj
We may write the path in parametric form as
r(t) = x(t)i + y(t)j
And we want x(0) = -2 and y(0) = 1. To move in the required direction means that r'(t) should be parallel to VT. This will be satisfied if
Together with the conditions x(0) = -2 and y(0) = 1. Now solve this differential equation and evaluate the arbitrary constant of integration.
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