A boat has a thermo-server attached to it. While floating with the fluid, it measures the temperature of the fluid. Both flow and temperature are under unsteady-state condition:T (x, y, z, t) = x2 + yz + t\(\vec{V}(x, y, z, t) = 2xi + 2 t^2y\hat{j} + \hat{k}\) Determine the rate of change of the temperature recorded by the sensor at t = 1, when the boat flows past the location, whose spatial co-ordinates are 2i + j + k.DT/ dt = \(\frac{\partial T}{\partial t} + (V.\nabla) T\) \(\frac{\partial T}{\partial t} = 1\) \(\frac{\partial T}{\partial x} = 2x; \frac{\partial T}{\partial y} = z; \frac{\partial T}{\partial z} = y\) Here, (x, y, z) = (2, 1, 1)

• A. T\) \(\frac{\partial T}{\partial t} = 1\) \(\frac{\partial T}{\partial x} = 2x; \frac{\partial T}{\partial y} = z; \frac{\partial T}{\partial z} = y\) Here, (x, y, z) = (2, 1, 1)a) 30
• B. 25
• C. 20
• D. 35