What does each of the following represent: (a) slope of an (x(t)) curve at a given point

Question:

What does each of the following represent: (a) slope of an $x(t)$ curve at a given point on the curve, $(b)$ curvature of an $x(t)$ curve at a given point on the curve, $(c)$ slope of a $v(t)$ curve at a given point on the curve, $(d)$ area under an $a(t)$ curve, $(e)$ area under a $v(t)$ curve?

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