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Name Student ID # Class Section Instructor Math 1220 Fall 2008 EXAM Dept. Use Only Exam Scores Problem Points Score 1. 20 2. 20 3. 20 4. 20 5. 20 TOTAL Show all your work and make sure you justify all your answers. Math 1220 Exam 1. note that this a complete study guide for your exam, and that there are possibly a typo or two in places. 2. Do the following problems. (a) Dierentiate f (x) = (arccos(x2))2 (b) Dierentiate f (x) = arcsin(2x2 ) (c) Dierentiate f (x) = arctan(sec(x)) (d) Dierentiate f (x) = ln(sinh(x)) + tanh(x) 1 3. A word problem (or a theoretical problem) will be on your exam I suggest studying your homework, and notes. 4. Integrate the following problems R (a) xex dx (b) R cos(x)ex dx (c) R 1 2x2 +8x+25 dx (d) R p 2x 4 dx 1 x 2 5. Do the following problems. (a) Find the inverse of y = tanh(x) and the derivative of the inverse function. (b) Find the derivative of y = cosh(3x) + sinh 1 (ex) 3 6. Integrate the following problems R (a) ln(x)dx (b) R 5 t ln(t7 )dx (c) R 2 x cos(x)dx (d) R cos4 (t)dx (e) R cos(21x)sin(6x)dx (f) R tan4 (x)dx 4