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Can someone please help me with this? Suppose you are an industrial designer working for an automotive company, you are given a car deisgn to

Can someone please help me with this?

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Suppose you are an industrial designer working for an automotive company, you are given a car deisgn to work on: with a black at body and a red parabolic fender. The design prole is specified as a piecewise equation 1 05351 x): 2 am +bm+c 11 * m>1+ Solving this equation gives you a condition on the coefcients a, b and c , namely that @- Your second job is to make the two pieces t together smoothly. This corresponds to the mathematical concept of 1' being at the points; = 1 : lim f'(:c) = 11111 f'(:.-:) meli ma1+ Solving this equation gives another condition on the coefcients a, b and c , namely that @- So there is some freedom here. For example if you choose a = 2 , then b = -and c =

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