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Let F(T) be the cost of heating your house, in dollars per day, when the average outside temperature is T Celsius degrees. (a) Make a rough sketch a possible graph of F(T). (There are many possible...

a) Sketch a function that has a positive first derivative for x < −5, a derivative of zero for −5 < x < 5 and a negative first derivative for x > 5. (b) Call this function f(x). On the...

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