Calculus 3-Final Examination REVIEW WORKSHEET*** 3. Find the equation of the tangent line for the curve given by x-21 and yr +5 at the point where 1. 4. 5. Find the corresponding rectangular equation represented by the parametric equations x=12+2 and y-2-1 by eliminating the parameter. Find the slope of the tangent line for the curve r 2 cos 30 at the point where 0= 6. (a) Determine if the sequence converges or diverges. (b) Simplify: If the sequence converges, find its limit. 2n-1 3n+1 22 n! (+2) 2" 7. Try to determine the convergence or divergence of the series using the indicated test. (-1)* (a) [ [Alt. Series Test] 113 (b) [ [Limit Comparison Test] 2-1 Determine the convergence or divergence of the series. Clearly explain the test(s) used. 1 8. (a) [ Στ (b) Ź 2n 1+e 5-1 1 9. Find a power series for the function f(x)=. and determine its interval of convergence. For problems 10-11, use the following: 10. (a) Find the distance between P and Q. 11. (a) Find a unit vector in the same direction as PS. 3x-2 P-(2,-3,-4), Q-(-1,6,-5), R-(3, 8, 0), and S-(5,-7,-2). (b) Find the midpoint of the line segment joining Q and R. (b) Are vectors PR and QS parallel? Explain.