MA 126 Midterm: MA126TFS16 Spring 2016
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R2: calculate the derivative of y = ln(tan 1(x)). Find the area of the region bounded by the parabola y = x2 + 4x and the line y = x. Determine whether the series is absolutely convergent, conditionally convergent or divergent. a) Determine whether the series is convergent or divergent. a) Find the radius and interval of convergence of the power series. Express the function as the power series. f (x) = Let r(t) = (t, t2, 2t 1). Find symmetric equation of the tangent line at point t = 2. Find the area of the triangle with vertices (1, 1, 1), (1, 1, 1) and ( 2, 1, 2). Find equation of the plane containing the points (0, 1, 1), ( 1, 1, 2) and ( 1, 1, 1). Find parametric equation of the line which passes through the point (1, 1, 1) and is orthogonal to the vectors i j and i + k.
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