The temperature at a point \((x, y)\) is \(T(x, y)\), measured in degrees Celsius. A bug crawls so that its position after \(t\) seconds is given by \(x = \sqrt{2 + t}\), \(y = 4 + \frac{1}{2}t\), where \(x\) and \(y\) are measured in centimeters. The temperature function satisfies \(T_x(2, 5) = 7\) and \(T_y(2, 5) = 5\).
How fast is the temperature rising on the bug's path after 2 seconds? (Round your answer to two decimal places.)