MATH 221 Final: MATH 221 KSU Final Exam u05

• School: Kansas State University
• Department: Mathematics
• Course: MATH 221
• Professor: All

Document Summary

You must show all work to receive full credit. No books, notes or calculators are permitted. (note: there are 15 problems on a total of ten (10) pages: find the derivative of the function. [8] a). y = x ln(2x x2) [8] b). y = xx, x > 0: evaluate the limits. 2 sin x 2 cos x + 2 x2 + 2x. 3x3 + 3 x: evaluate the following integrals. Find the arc length of the curve given by the parametric equations x = t, y = 1. 6t3 from t = 1 to t = 2. Find a power series centered at 0 for f (x) = arctan x, given that. What is its interval of convergence: determine whether the following series converge or diverge. For those that con- verge state whether the convergence is conditional or absolute. State clearly which test you are using and implement the test as clearly as you can.