1. A curve in the plane is defined parametrically by: x(t) = t +1 and y(t) = t2-5t +2. a)Convert the parametric equations of the curve to an equation involving only the variables x and y. b)Using the parametric representation of the curve, find the equation (in standard x-y form) of the line tangent to the curve at the point (x(1),y(1)) on the curve. c)Using the parametric representation of the curve, find the exact area of the region beneath the curve, above the x-axis, between x = 0 and x = 1.

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