9. For a constant vector c#0, the function f(t) = te represents a line parallel to c. (a) What kind of curve does g(t)= t³c represent? Explain. (b) What kind of curve does h(t) = e'c represent? Explain. (c) Compare f'(0) and g'(0). Given your answer to part (a), how do you explain the difference in the two derivatives?

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