Question: please answer all items with thorough solutions 1. The points (-1, 3) and (0, 2) are on a curve and at any point (x, y)

please answer all items with thorough solutions

1. The points (-1, 3) and (0, 2) are on a curve and at any point (x, y) on the curve y" = 2 - 4x Find the equation of the curve. 2. Find the equation of the curve whose slope at any point x - 2 and passes through (-1, 1). 3 - y 3. Find the equation of the curve for which y"= 4x3 - 2x and which passes through the point (1, 2) with a slope equal to twice the abscissa. 4. Find the equation of the curve for which y"= 2x3. The slope of the inflectional tangent at (-1, 3) is equal to 2/3 its ordinate

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