On a cold day, you measure the temperature inside your home to be a uniform 20 °C and the temperature outside to be -6 °C. The temperature in your walls, however, varies so that temperature as a function of position, T (x), is a continuous function. Based on the composition of your 6 cm thick walls, you are able to construct the following piecewise model for T(x): T(x) = { 20, x≤0 a-br², 0 < x < 6. x ≥ 6 -6, (a) Determine a and b so that T(x) is continuous. a = Number b Number (b) What is the temperature in the middle of the wall (i.e., 3 cm in)? °C Number

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