Question: 4. (10 pts) Let C : y = 3x -x2 be a parabola. (a) (2 pts) Find an equation of the tangent line to C

4. (10 pts) Let C : y = 3x -x2 be

4. (10 pts) Let C : y = 3x -x2 be a parabola. (a) (2 pts) Find an equation of the tangent line to C at the point (a, 3a -a2) on C which is in the first quadrant. (b) (8 pts) Among all triangles in the first quadrant formed by the x-axis, the y-axis, and the tangent line above, what triangle has the smallest area? (a, 3a - a- ) y = 3x - x2

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