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For the curve C: y = x*sqrt(9 - x²), x >= 0, find the x-intercept of the tangent drawn to C at x = 9/4.

1. 81/8
2. 9/4
3. 27/8
4. 63/8

Correct answer: 81/8

Solution

At x = 9/4, y = 27*sqrt(7)/16 and slope = -3*sqrt(7)/14, giving x-intercept 81/8.

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