Math  /  Algebra

QuestionFind all points on the graph of y327y=x290y^{3}-27 y=x^{2}-90 at which the tangent line is vertical. (Order your answers from smallest to largest xx, then from smallest to largest yy.) (x,y)=()(x,y)=()(x,y)=()(x,y)=()\begin{array}{l} (x, y)=(\square) \\ (x, y)=(\square) \\ (x, y)=(\square) \\ (x, y)=(\square) \end{array}

Studdy Solution
List the points in the specified order (smallest to largest x x , then smallest to largest y y ):
1. (x,y)=(6,3) (x, y) = (-6, -3)
2. (x,y)=(6,3) (x, y) = (-6, 3)
3. (x,y)=(6,3) (x, y) = (6, -3)
4. (x,y)=(6,3) (x, y) = (6, 3)

The points are: (x,y)=(6,3)(x, y) = (-6, -3) (x,y)=(6,3)(x, y) = (-6, 3) (x,y)=(6,3)(x, y) = (6, -3) (x,y)=(6,3)(x, y) = (6, 3)

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