A thin plate made of iron is located in the xy-plane. The temperature 7 in degrees Celsius at a point P(x, y) is inversely proportional to the square of its distance from the origin. (a) Express T as a function of x and y. (Use k for your constant of proportionality.) T(x, y) = °C (b) Using the temperature function, determine the proportionality constant if the temperature at point P(1, 2) is 60°C. k= Use this constant to determine the temperature in degrees Celsius at point Q(3, 4). °℃ (c) Find the level curves for T = 50°C. Describe what the level curve represents. O hyperbola O parabola O non-circle ellipse O circle O none of the above Find the level curves for T = 100°C. Describe what the level curve represents. O hyperbola O parabola O non-circle ellipse O circle O none of the above

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