Hey, please help me do this, I have to submit for marks and I have no clue what to do.
A section road, represented by the line y = x + 2 with x =< 0 is to be connected to another section of road, represented by y = 2 - x with x >= 2, by means of a curved section of road, represented by a cubic curve y = ax^3 + bx^2 + cx + d, so that the resulting connected road has no sharp corners. Find the required values of a, b, c and d. In other words find a, b, c and d such that the function f(x) is differentiable, where:
f(x) = x + 2 where x =< 0
ax^3 + bx^2 + cx + d where 0 =< x =< 2
2 - x where x >= 2
Any help is greatly appreciated.
Thanks in advance.
2007-10-13
14:41:02
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1 answers
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asked by
Anonymous
in
Mathematics