Some. Practice Problem, for Final (MTH 169. Fall 2013). NOT A SAMPLE FINAL Deter

Question

Some. Practice Problem, for Final (MTH 169. Fall 2013). NOT A SAMPLE FINAL Determine whether the series absolutely convergent conditionally convergent or divergent. Determine whether the series absolutely convergent, conditionally convergent or divergent. Find a power series at x = 0 for f(x) =1/(1-x)2 Also find the radius of convergence Determine whether or not the improper integral converges Find the arc length of the graph of r = 1 + cos theta Find the area of the region inside the cardiod r = a(l + cos theta), a greater than 0. Find the surface area obtained by rotating the paramctric curve x = 2/3t3/2, about y-axis. Determine whether the sequence converges or diverges an =cos pin/n Method of cylindrical shells to find the surface area of revolution. Radius of Convergence. l Improper integral converges or diverges.

Explanation / Answer

3. 1+2x+3x^2+4x^3+5x^4 and so on..

Radius of convergence is |x|<1

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