Find value of the arbitrary constants on the given equations.

Determine a, b and c 50 that the curve 3/ = axz + bx + C will pass through point (1, 6) and have tangent line y = 4x 2 to the curve at point (1,2). Answer: a = 3, b = 2, c = 1 Determine a, b and c 50 that the curve y 2 our2 + bx + c will pass through (0, 2) and will have a . . _ 4 critical pomt at (E, 1?). Answer: a = 5, b = 4, c = 2