MATH 221 Final: MATH 221 KSU Final Exam f94

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

Document Summary

The point value of each problem is indicated in the left margin. You must show all of your work for full credit. Points will be deducted for faulty reasoning and for sloppy notation. You may not use a calculator, your class notes, or any reference material. You do not need to simplify your answers unless you are asked to do so: di erentiate: (7) (a) d dx (tan x)cot x (7) (b) d dx ln(sinh x, integrate: (8) (a) Z cot x csc3 x dx page 2 of 6 pages (8) (c) 10 (x2 + 2)(x 2) dx (10) 3. Find the limit: (1 + sin x)1/x lim x 0 page 3 of 6 pages: write the rst four nonzero terms of the maclaurin series for: (12) a) Write the rst three nonzero terms of the maclaurin series for: (12) b) (cos x) (cosh x) (14) 5. a) graph r = cos 4 .