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1. Find an equation for the line in the xy−plane that is tangent to the curve...

1. Find an equation for the line in the xy−plane that is tangent to the curve at the point corresponding to the given value of t. Also, find the value of d^2y/dx^2 at this point. x=sec t, y=tan t, t=π/6

2. Find the length of the parametric curve: x=cos t, y=t+sin t, 0 ≤ t ≤ π. Hint:To integrate , use the identity,  and complete the integral.

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