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(A) Draw a Direction Field for the Function f(x)=9x2f ( x ) = 9 x ^ { 2 }

Question 193

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(a) Draw a direction field for the function f(x)=9x2f ( x ) = 9 x ^ { 2 } . Use this direction field to sketch several members of the family of antiderivatives.(b) Compute the general antiderivative for f(x)=9x2f ( x ) = 9 x ^ { 2 } explicitly and sketch several specific antiderivatives. Compare these results with your sketches from part (a).

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