Tangents are drawn from the origin to the curbe y = sin x.Prove that their points of contact lie on the curve x2y2 =x2 – y2

Q: Find the slope of the tangent line to the curve 4x + 4cy- 4y° 276 at the point (- 1,4).

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Q: Plot the curve x³ + y3 = 6xy together with the tangent to the curve at the point

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Q: Graph the curve x = cos t + 2 cos 2t y = sin t + 2 sin 2t to discover where it crosses itself.…

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Q: Find the tangent plane to the equation z = 6e" -20 at the point (4, 8, 6)

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Q: Find the points on the curve where tangents to the curve 2-2³-4y+8=0 pass through (1, 2).

A: Equation of the curve : y2-2x3-4y+8=0 The tangent passes through 1,2