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The curves x^(3) -3xy^(2) = a and 3x^(2...

The curves ` x^(3) -3xy^(2) = a and 3x^(2)y -y^(3)=b,` where a and b are constants, cut each other at an angle of

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To find the angle at which the curves \( x^3 - 3xy^2 = a \) and \( 3x^2y - y^3 = b \) intersect, we will follow these steps: ### Step 1: Differentiate the first curve The first curve is given by: \[ x^3 - 3xy^2 = a \] Differentiating both sides with respect to \( x \): ...
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