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Determine points at which tangent line touches each circle

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Reference no: EM131602726

Question: 1. Sketch the circles y2 + x2 = 1 and y2 + (x - 3)2 = 4. There is a line with positive slope that is tangent to both circles. Determine the points at which this tangent line touches each circle.

2. If y = arcsin x then x = sin y. Use implicit differentiation on x = sin y to show that

(d/dx)arcsin x = 1/√(1 - x2)

Reference no: EM131602726

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