Questions from General Calculus


Q: Two curves are orthogonal if their tangent lines are perpendicular at each

Two curves are orthogonal if their tangent lines are perpendicular at each point of intersection. Show that the given families of curves are orthogonal trajectories of each other, that is, every curve...

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Q: Two curves are orthogonal if their tangent lines are perpendicular at each

Two curves are orthogonal if their tangent lines are perpendicular at each point of intersection. Show that the given families of curves are orthogonal trajectories of each other, that is, every curve...

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Q: Two curves are orthogonal if their tangent lines are perpendicular at each

Two curves are orthogonal if their tangent lines are perpendicular at each point of intersection. Show that the given families of curves are orthogonal trajectories of each other, that is, every curve...

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Q: Two curves are orthogonal if their tangent lines are perpendicular at each

Two curves are orthogonal if their tangent lines are perpendicular at each point of intersection. Show that the given families of curves are orthogonal trajectories of each other, that is, every curve...

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Q: Find dy/dx by implicit differentiation. x2 + xy

Find dy/dx by implicit differentiation. x2 + xy – y2 = 4

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Q: Find dy/dx by implicit differentiation. 2x3 + x2y

Find dy/dx by implicit differentiation. 2x3 + x2y – xy3 = 2

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Q: Find dy/dx by implicit differentiation. x4 (x

Find dy/dx by implicit differentiation. x4 (x + y) = y2 (3x – y)

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Q: Find dy/dx by implicit differentiation. y5 + x2y3

Find dy/dx by implicit differentiation. y5 + x2y3 = 1+ yex2

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Q: Find dy/dx by implicit differentiation. x2y2 + x

Find dy/dx by implicit differentiation. x2y2 + x sin y = 4

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Q: Find the exact value of each expression. (a).

Find the exact value of each expression. (a). sin-1 (√3/2) (b). cos-1 (-1)

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